{"id":25441,"date":"2021-06-16T03:26:38","date_gmt":"2021-06-16T03:26:38","guid":{"rendered":"https:\/\/www.dumpsbase.com\/freedumps\/?p=25441"},"modified":"2021-06-16T03:26:40","modified_gmt":"2021-06-16T03:26:40","slug":"prmia-certification-8007-mathematical-foundations-of-risk-measurement-dumps-online","status":"publish","type":"post","link":"https:\/\/www.dumpsbase.com\/freedumps\/prmia-certification-8007-mathematical-foundations-of-risk-measurement-dumps-online.html","title":{"rendered":"PRMIA Certification 8007 Mathematical Foundations of Risk Measurement Dumps Online"},"content":{"rendered":"\n<p>Are you preparing for 8007 Exam II: Mathematical Foundations of Risk Measurement &#8211; 2015 Edition certification exam? Great PRIMA certification 8007 dumps contain real exam questions and answers, which are based on the Mathematical Foundations of Risk Measurement exam objectives. Come to get DumpsBase 8007 dumps questions as the preparation materials.<\/p>\n<h2>Check <span style=\"color: #800000;\">8007 Free Dumps<\/span> Online Now<\/h2>\n<script>\n\t  window.fbAsyncInit = function() {\n\t    FB.init({\n\t      appId            : '622169541470367',\n\t      autoLogAppEvents : true,\n\t      xfbml            : true,\n\t      version          : 'v3.1'\n\t    });\n\t  };\n\t\n\t  (function(d, s, id){\n\t     var js, fjs = d.getElementsByTagName(s)[0];\n\t     if (d.getElementById(id)) {return;}\n\t     js = d.createElement(s); js.id = id;\n\t     js.src = \"https:\/\/connect.facebook.net\/en_US\/sdk.js\";\n\t     fjs.parentNode.insertBefore(js, fjs);\n\t   }(document, 'script', 'facebook-jssdk'));\n\t<\/script><script type=\"text\/javascript\" >\ndocument.addEventListener(\"DOMContentLoaded\", function(event) { \nif(!window.jQuery) alert(\"The important jQuery library is not properly loaded in your site. Your WordPress theme is probably missing the essential wp_head() call. You can switch to another theme and you will see that the plugin works fine and this notice disappears. If you are still not sure what to do you can contact us for help.\");\n});\n<\/script>  \n  \n<div  id=\"watupro_quiz\" class=\"quiz-area single-page-quiz\">\n<p id=\"submittingExam5533\" style=\"display:none;text-align:center;\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.dumpsbase.com\/freedumps\/wp-content\/plugins\/watupro\/img\/loading.gif\" width=\"16\" height=\"16\"><\/p>\n\n<div class=\"watupro-exam-description\" id=\"description-quiz-5533\"><\/div>\n\n<form action=\"\" method=\"post\" class=\"quiz-form\" id=\"quiz-5533\"  enctype=\"multipart\/form-data\" >\n<div class='watu-question ' id='question-1' style=';'><div id='questionWrap-1'  class='   watupro-question-id-182961'>\n\t\t\t<div class='question-content'><div><span class='watupro_num'>1. <\/span>The class intervals should be large enough so that they not obscure interesting variation within the group<\/div><input type='hidden' name='question_id[]' id='qID_1' value='182961' \/><input type='hidden' id='answerType182961' value='radio'><!-- end question-content--><\/div><div class='question-choices watupro-choices-columns '><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182961[]' id='answer-id-736847' class='answer   answerof-182961 ' value='736847'   \/><label for='answer-id-736847' id='answer-label-736847' class=' answer'><span>Statements 2 and 3 are correct<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182961[]' id='answer-id-736848' class='answer   answerof-182961 ' value='736848'   \/><label for='answer-id-736848' id='answer-label-736848' class=' answer'><span>Statements 1 and 2 are correct<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182961[]' id='answer-id-736849' class='answer   answerof-182961 ' value='736849'   \/><label for='answer-id-736849' id='answer-label-736849' class=' answer'><span>All three statements are correct<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182961[]' id='answer-id-736850' class='answer   answerof-182961 ' value='736850'   \/><label for='answer-id-736850' id='answer-label-736850' class=' answer'><span>Statements 1 and 3 are correct<\/span><\/label><\/div><!-- end question-choices--><\/div><!-- end questionWrap--><\/div><\/div><div class='watu-question ' id='question-2' style=';'><div id='questionWrap-2'  class='   watupro-question-id-182962'>\n\t\t\t<div class='question-content'><div><span class='watupro_num'>2. <\/span>An underlying asset price is at 100, its annual volatility is 25% and the risk free interest rate is 5%. A European call option has a strike of 85 and a maturity of 40 days. Its Black-Scholes price is 15.52. The options sensitivities are: delta = 0.98; gamma = 0.006 and vega = 1.55 . <br \/>\r<br>What is the delta-gamma-vega approximation to the new option price when the underlying asset price changes to 105 and the volatility changes to 28%?<\/div><input type='hidden' name='question_id[]' id='qID_2' value='182962' \/><input type='hidden' id='answerType182962' value='radio'><!-- end question-content--><\/div><div class='question-choices watupro-choices-columns '><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182962[]' id='answer-id-736851' class='answer   answerof-182962 ' value='736851'   \/><label for='answer-id-736851' id='answer-label-736851' class=' answer'><span>17.33<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182962[]' id='answer-id-736852' class='answer   answerof-182962 ' value='736852'   \/><label for='answer-id-736852' id='answer-label-736852' class=' answer'><span>18.75<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182962[]' id='answer-id-736853' class='answer   answerof-182962 ' value='736853'   \/><label for='answer-id-736853' id='answer-label-736853' class=' answer'><span>19.23<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182962[]' id='answer-id-736854' class='answer   answerof-182962 ' value='736854'   \/><label for='answer-id-736854' id='answer-label-736854' class=' answer'><span>20.54<\/span><\/label><\/div><!-- end question-choices--><\/div><!-- end questionWrap--><\/div><\/div><div class='watu-question ' id='question-3' style=';'><div id='questionWrap-3'  class='   watupro-question-id-182963'>\n\t\t\t<div class='question-content'><div><span class='watupro_num'>3. <\/span>What is the maximum value for f(x)= 8-(x+3)(x-3)?<\/div><input type='hidden' name='question_id[]' id='qID_3' value='182963' \/><input type='hidden' id='answerType182963' value='radio'><!-- end question-content--><\/div><div class='question-choices watupro-choices-columns '><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182963[]' id='answer-id-736855' class='answer   answerof-182963 ' value='736855'   \/><label for='answer-id-736855' id='answer-label-736855' class=' answer'><span>8<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182963[]' id='answer-id-736856' class='answer   answerof-182963 ' value='736856'   \/><label for='answer-id-736856' id='answer-label-736856' class=' answer'><span>-1<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182963[]' id='answer-id-736857' class='answer   answerof-182963 ' value='736857'   \/><label for='answer-id-736857' id='answer-label-736857' class=' answer'><span>17<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182963[]' id='answer-id-736858' class='answer   answerof-182963 ' value='736858'   \/><label for='answer-id-736858' id='answer-label-736858' class=' answer'><span>None of these<\/span><\/label><\/div><!-- end question-choices--><\/div><!-- end questionWrap--><\/div><\/div><div class='watu-question ' id='question-4' style=';'><div id='questionWrap-4'  class='   watupro-question-id-182964'>\n\t\t\t<div class='question-content'><div><span class='watupro_num'>4. <\/span>What is a Hessian?<\/div><input type='hidden' name='question_id[]' id='qID_4' value='182964' \/><input type='hidden' id='answerType182964' value='radio'><!-- end question-content--><\/div><div class='question-choices watupro-choices-columns '><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182964[]' id='answer-id-736859' class='answer   answerof-182964 ' value='736859'   \/><label for='answer-id-736859' id='answer-label-736859' class=' answer'><span>Correlation matrix of market indices<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182964[]' id='answer-id-736860' class='answer   answerof-182964 ' value='736860'   \/><label for='answer-id-736860' id='answer-label-736860' class=' answer'><span>The vector of partial derivatives of a contingent claim<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182964[]' id='answer-id-736861' class='answer   answerof-182964 ' value='736861'   \/><label for='answer-id-736861' id='answer-label-736861' class=' answer'><span>A matrix of second derivatives of a function<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182964[]' id='answer-id-736862' class='answer   answerof-182964 ' value='736862'   \/><label for='answer-id-736862' id='answer-label-736862' class=' answer'><span>The point at which a minimum of a multidimensional function is achieved<\/span><\/label><\/div><!-- end question-choices--><\/div><!-- end questionWrap--><\/div><\/div><div class='watu-question ' id='question-5' style=';'><div id='questionWrap-5'  class='   watupro-question-id-182965'>\n\t\t\t<div class='question-content'><div><span class='watupro_num'>5. <\/span>You are investigating the relationship between weather and stock market performance. To do this, you pick 100 stock market locations all over the world. For each location, you collect yesterday's mean temperature and humidity and yesterday's local index return. Performing a regression analysis on this data is an example of\u2026<\/div><input type='hidden' name='question_id[]' id='qID_5' value='182965' \/><input type='hidden' id='answerType182965' value='radio'><!-- end question-content--><\/div><div class='question-choices watupro-choices-columns '><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182965[]' id='answer-id-736863' class='answer   answerof-182965 ' value='736863'   \/><label for='answer-id-736863' id='answer-label-736863' class=' answer'><span>Simple time-series regression<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182965[]' id='answer-id-736864' class='answer   answerof-182965 ' value='736864'   \/><label for='answer-id-736864' id='answer-label-736864' class=' answer'><span>Multiple time-series regression<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182965[]' id='answer-id-736865' class='answer   answerof-182965 ' value='736865'   \/><label for='answer-id-736865' id='answer-label-736865' class=' answer'><span>Simple cross-section regression<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182965[]' id='answer-id-736866' class='answer   answerof-182965 ' value='736866'   \/><label for='answer-id-736866' id='answer-label-736866' class=' answer'><span>Multiple cross-section regression<\/span><\/label><\/div><!-- end question-choices--><\/div><!-- end questionWrap--><\/div><\/div><div class='watu-question ' id='question-6' style=';'><div id='questionWrap-6'  class='   watupro-question-id-182966'>\n\t\t\t<div class='question-content'><div><span class='watupro_num'>6. <\/span>The fundamental theorem of analysis establishes a relation between<\/div><input type='hidden' name='question_id[]' id='qID_6' value='182966' \/><input type='hidden' id='answerType182966' value='radio'><!-- end question-content--><\/div><div class='question-choices watupro-choices-columns '><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182966[]' id='answer-id-736867' class='answer   answerof-182966 ' value='736867'   \/><label for='answer-id-736867' id='answer-label-736867' class=' answer'><span>First and second derivative of a function<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182966[]' id='answer-id-736868' class='answer   answerof-182966 ' value='736868'   \/><label for='answer-id-736868' id='answer-label-736868' class=' answer'><span>The derivative of a function and the slope of its graph<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182966[]' id='answer-id-736869' class='answer   answerof-182966 ' value='736869'   \/><label for='answer-id-736869' id='answer-label-736869' class=' answer'><span>Integration and differentiation of functions<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182966[]' id='answer-id-736870' class='answer   answerof-182966 ' value='736870'   \/><label for='answer-id-736870' id='answer-label-736870' class=' answer'><span>The derivative of a function and the derivative of its inverse function<\/span><\/label><\/div><!-- end question-choices--><\/div><!-- end questionWrap--><\/div><\/div><div class='watu-question ' id='question-7' style=';'><div id='questionWrap-7'  class='   watupro-question-id-182967'>\n\t\t\t<div class='question-content'><div><span class='watupro_num'>7. <\/span>If the annual volatility of returns is 25% what is the variance of the quarterly returns?<\/div><input type='hidden' name='question_id[]' id='qID_7' value='182967' \/><input type='hidden' id='answerType182967' value='radio'><!-- end question-content--><\/div><div class='question-choices watupro-choices-columns '><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182967[]' id='answer-id-736871' class='answer   answerof-182967 ' value='736871'   \/><label for='answer-id-736871' id='answer-label-736871' class=' answer'><span>0.1250<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182967[]' id='answer-id-736872' class='answer   answerof-182967 ' value='736872'   \/><label for='answer-id-736872' id='answer-label-736872' class=' answer'><span>0.0156<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182967[]' id='answer-id-736873' class='answer   answerof-182967 ' value='736873'   \/><label for='answer-id-736873' id='answer-label-736873' class=' answer'><span>0.0625<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182967[]' id='answer-id-736874' class='answer   answerof-182967 ' value='736874'   \/><label for='answer-id-736874' id='answer-label-736874' class=' answer'><span>None of the above<\/span><\/label><\/div><!-- end question-choices--><\/div><!-- end questionWrap--><\/div><\/div><div class='watu-question ' id='question-8' style=';'><div id='questionWrap-8'  class='   watupro-question-id-182968'>\n\t\t\t<div class='question-content'><div><span class='watupro_num'>8. <\/span>A 2-step binomial tree is used to value an American put option with strike 104, given that the underlying price is currently 100. At each step the underlying price can move up by 20% or down by 20% and the risk-neutral probability of an up move is 0.55. There are no dividends paid on the underlying and the discretely compounded risk free interest rate over each time step is 2% . <br \/>\r<br>What is the value of the option in this model?<\/div><input type='hidden' name='question_id[]' id='qID_8' value='182968' \/><input type='hidden' id='answerType182968' value='radio'><!-- end question-content--><\/div><div class='question-choices watupro-choices-columns '><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182968[]' id='answer-id-736875' class='answer   answerof-182968 ' value='736875'   \/><label for='answer-id-736875' id='answer-label-736875' class=' answer'><span>11.82<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182968[]' id='answer-id-736876' class='answer   answerof-182968 ' value='736876'   \/><label for='answer-id-736876' id='answer-label-736876' class=' answer'><span>12.33<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182968[]' id='answer-id-736877' class='answer   answerof-182968 ' value='736877'   \/><label for='answer-id-736877' id='answer-label-736877' class=' answer'><span>12.49<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182968[]' id='answer-id-736878' class='answer   answerof-182968 ' value='736878'   \/><label for='answer-id-736878' id='answer-label-736878' class=' answer'><span>12.78<\/span><\/label><\/div><!-- end question-choices--><\/div><!-- end questionWrap--><\/div><\/div><div class='watu-question ' id='question-9' style=';'><div id='questionWrap-9'  class='   watupro-question-id-182969'>\n\t\t\t<div class='question-content'><div><span class='watupro_num'>9. <\/span>A typical leptokurtotic distribution can be described as a distribution that is relative to a normal distribution<\/div><input type='hidden' name='question_id[]' id='qID_9' value='182969' \/><input type='hidden' id='answerType182969' value='radio'><!-- end question-content--><\/div><div class='question-choices watupro-choices-columns '><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182969[]' id='answer-id-736879' class='answer   answerof-182969 ' value='736879'   \/><label for='answer-id-736879' id='answer-label-736879' class=' answer'><span>peaked and thin at the center and with heavy (fat) tails<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182969[]' id='answer-id-736880' class='answer   answerof-182969 ' value='736880'   \/><label for='answer-id-736880' id='answer-label-736880' class=' answer'><span>peaked and thin at the center and with thin tails<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182969[]' id='answer-id-736881' class='answer   answerof-182969 ' value='736881'   \/><label for='answer-id-736881' id='answer-label-736881' class=' answer'><span>flat and thick at the center and with heavy (fat) tails<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182969[]' id='answer-id-736882' class='answer   answerof-182969 ' value='736882'   \/><label for='answer-id-736882' id='answer-label-736882' class=' answer'><span>flat and thick at the center and with thin tails<\/span><\/label><\/div><!-- end question-choices--><\/div><!-- end questionWrap--><\/div><\/div><div class='watu-question ' id='question-10' style=';'><div id='questionWrap-10'  class='   watupro-question-id-182970'>\n\t\t\t<div class='question-content'><div><span class='watupro_num'>10. <\/span>In a portfolio there are 7 bonds: 2 AAA Corporate bonds, 2 AAA Agency bonds, 1 AA Corporate and 2 AA Agency bonds. By an unexplained characteristic the probability of any specific AAA bond outperforming the others is twice the probability of any specific AA bond outperforming the others . <br \/>\r<br>What is the probability that an AA bond or a Corporate bond outperforms all of the others?<\/div><input type='hidden' name='question_id[]' id='qID_10' value='182970' \/><input type='hidden' id='answerType182970' value='radio'><!-- end question-content--><\/div><div class='question-choices watupro-choices-columns '><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182970[]' id='answer-id-736883' class='answer   answerof-182970 ' value='736883'   \/><label for='answer-id-736883' id='answer-label-736883' class=' answer'><span>5\/7<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182970[]' id='answer-id-736884' class='answer   answerof-182970 ' value='736884'   \/><label for='answer-id-736884' id='answer-label-736884' class=' answer'><span>8\/11<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182970[]' id='answer-id-736885' class='answer   answerof-182970 ' value='736885'   \/><label for='answer-id-736885' id='answer-label-736885' class=' answer'><span>6\/11<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182970[]' id='answer-id-736886' class='answer   answerof-182970 ' value='736886'   \/><label for='answer-id-736886' id='answer-label-736886' class=' answer'><span>None of these<\/span><\/label><\/div><!-- end question-choices--><\/div><!-- end questionWrap--><\/div><\/div><div class='watu-question ' id='question-11' style=';'><div id='questionWrap-11'  class='   watupro-question-id-182971'>\n\t\t\t<div class='question-content'><div><span class='watupro_num'>11. <\/span>Let X be a random variable distributed normally with mean 0 and standard deviation 1 . <br \/>\r<br>What is the expected value of exp(X)?<\/div><input type='hidden' name='question_id[]' id='qID_11' value='182971' \/><input type='hidden' id='answerType182971' value='radio'><!-- end question-content--><\/div><div class='question-choices watupro-choices-columns '><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182971[]' id='answer-id-736887' class='answer   answerof-182971 ' value='736887'   \/><label for='answer-id-736887' id='answer-label-736887' class=' answer'><span>E(exp(X)) = 1.6487<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182971[]' id='answer-id-736888' class='answer   answerof-182971 ' value='736888'   \/><label for='answer-id-736888' id='answer-label-736888' class=' answer'><span>E(exp(X)) = 1<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182971[]' id='answer-id-736889' class='answer   answerof-182971 ' value='736889'   \/><label for='answer-id-736889' id='answer-label-736889' class=' answer'><span>E(exp(X)) = 2.7183<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182971[]' id='answer-id-736890' class='answer   answerof-182971 ' value='736890'   \/><label for='answer-id-736890' id='answer-label-736890' class=' answer'><span>E(exp(X)) = 0.6065<\/span><\/label><\/div><!-- end question-choices--><\/div><!-- end questionWrap--><\/div><\/div><div class='watu-question ' id='question-12' style=';'><div id='questionWrap-12'  class='   watupro-question-id-182972'>\n\t\t\t<div class='question-content'><div><span class='watupro_num'>12. <\/span>What is the total derivative of the function f(x,y) = ln(x+y), where ln() denotes the natural logarithmic function?<\/div><input type='hidden' name='question_id[]' id='qID_12' value='182972' \/><input type='hidden' id='answerType182972' value='radio'><!-- end question-content--><\/div><div class='question-choices watupro-choices-columns '><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182972[]' id='answer-id-736891' class='answer   answerof-182972 ' value='736891'   \/><label for='answer-id-736891' id='answer-label-736891' class=' answer'><span>1 \/ (x+y)<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182972[]' id='answer-id-736892' class='answer   answerof-182972 ' value='736892'   \/><label for='answer-id-736892' id='answer-label-736892' class=' answer'><span>(x + y) \/ (x+y)<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182972[]' id='answer-id-736893' class='answer   answerof-182972 ' value='736893'   \/><label for='answer-id-736893' id='answer-label-736893' class=' answer'><span>-x\/(x+y) - y\/(x+y)<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182972[]' id='answer-id-736894' class='answer   answerof-182972 ' value='736894'   \/><label for='answer-id-736894' id='answer-label-736894' class=' answer'><span>ln(x+y) x + ln(x+y) y<\/span><\/label><\/div><!-- end question-choices--><\/div><!-- end questionWrap--><\/div><\/div><div class='watu-question ' id='question-13' style=';'><div id='questionWrap-13'  class='   watupro-question-id-182973'>\n\t\t\t<div class='question-content'><div><span class='watupro_num'>13. <\/span>Evaluate the derivative of ln(1+ x2) at the point x = 1<\/div><input type='hidden' name='question_id[]' id='qID_13' value='182973' \/><input type='hidden' id='answerType182973' value='radio'><!-- end question-content--><\/div><div class='question-choices watupro-choices-columns '><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182973[]' id='answer-id-736895' class='answer   answerof-182973 ' value='736895'   \/><label for='answer-id-736895' id='answer-label-736895' class=' answer'><span>0.5<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182973[]' id='answer-id-736896' class='answer   answerof-182973 ' value='736896'   \/><label for='answer-id-736896' id='answer-label-736896' class=' answer'><span>0<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182973[]' id='answer-id-736897' class='answer   answerof-182973 ' value='736897'   \/><label for='answer-id-736897' id='answer-label-736897' class=' answer'><span>1<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182973[]' id='answer-id-736898' class='answer   answerof-182973 ' value='736898'   \/><label for='answer-id-736898' id='answer-label-736898' class=' answer'><span>2<\/span><\/label><\/div><!-- end question-choices--><\/div><!-- end questionWrap--><\/div><\/div><div class='watu-question ' id='question-14' style=';'><div id='questionWrap-14'  class='   watupro-question-id-182974'>\n\t\t\t<div class='question-content'><div><span class='watupro_num'>14. <\/span>A linear regression gives the following output: <br \/>\r<br>Figures in square brackets are estimated standard errors of the coefficient estimates. <br \/>\r<br>What is the value of the test statistic for the hypothesis that the coefficient of is less than 1?<\/div><input type='hidden' name='question_id[]' id='qID_14' value='182974' \/><input type='hidden' id='answerType182974' value='radio'><!-- end question-content--><\/div><div class='question-choices watupro-choices-columns '><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182974[]' id='answer-id-736899' class='answer   answerof-182974 ' value='736899'   \/><label for='answer-id-736899' id='answer-label-736899' class=' answer'><span>0.32<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182974[]' id='answer-id-736900' class='answer   answerof-182974 ' value='736900'   \/><label for='answer-id-736900' id='answer-label-736900' class=' answer'><span>0.64<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182974[]' id='answer-id-736901' class='answer   answerof-182974 ' value='736901'   \/><label for='answer-id-736901' id='answer-label-736901' class=' answer'><span>0.96<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182974[]' id='answer-id-736902' class='answer   answerof-182974 ' value='736902'   \/><label for='answer-id-736902' id='answer-label-736902' class=' answer'><span>1.92<\/span><\/label><\/div><!-- end question-choices--><\/div><!-- end questionWrap--><\/div><\/div><div class='watu-question ' id='question-15' style=';'><div id='questionWrap-15'  class='   watupro-question-id-182975'>\n\t\t\t<div class='question-content'><div><span class='watupro_num'>15. <\/span>You invest $100 000 for 3 years at a continuously compounded rate of 3%. At the end of 3 years, you redeem the investment. Taxes of 22% are applied at the time of redemption . <br \/>\r<br>What is your approximate after-tax profit from the investment, rounded to $10?<\/div><input type='hidden' name='question_id[]' id='qID_15' value='182975' \/><input type='hidden' id='answerType182975' value='radio'><!-- end question-content--><\/div><div class='question-choices watupro-choices-columns '><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182975[]' id='answer-id-736903' class='answer   answerof-182975 ' value='736903'   \/><label for='answer-id-736903' id='answer-label-736903' class=' answer'><span>$9420<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182975[]' id='answer-id-736904' class='answer   answerof-182975 ' value='736904'   \/><label for='answer-id-736904' id='answer-label-736904' class=' answer'><span>$7350<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182975[]' id='answer-id-736905' class='answer   answerof-182975 ' value='736905'   \/><label for='answer-id-736905' id='answer-label-736905' class=' answer'><span>$7230<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182975[]' id='answer-id-736906' class='answer   answerof-182975 ' value='736906'   \/><label for='answer-id-736906' id='answer-label-736906' class=' answer'><span>$7100<\/span><\/label><\/div><!-- end question-choices--><\/div><!-- end questionWrap--><\/div><\/div><div class='watu-question ' id='question-16' style=';'><div id='questionWrap-16'  class='   watupro-question-id-182976'>\n\t\t\t<div class='question-content'><div><span class='watupro_num'>16. <\/span>You are given the following values of a quadratic function f(x): f(0)=0, f(1)=-2, f(2)=-5. <br \/>\r<br>On the basis of these data, the derivative f'(0) is \u2026<\/div><input type='hidden' name='question_id[]' id='qID_16' value='182976' \/><input type='hidden' id='answerType182976' value='radio'><!-- end question-content--><\/div><div class='question-choices watupro-choices-columns '><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182976[]' id='answer-id-736907' class='answer   answerof-182976 ' value='736907'   \/><label for='answer-id-736907' id='answer-label-736907' class=' answer'><span>in the interval ]-2.5,-2[<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182976[]' id='answer-id-736908' class='answer   answerof-182976 ' value='736908'   \/><label for='answer-id-736908' id='answer-label-736908' class=' answer'><span>equal to -2<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182976[]' id='answer-id-736909' class='answer   answerof-182976 ' value='736909'   \/><label for='answer-id-736909' id='answer-label-736909' class=' answer'><span>in the interval ]-2,+[<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182976[]' id='answer-id-736910' class='answer   answerof-182976 ' value='736910'   \/><label for='answer-id-736910' id='answer-label-736910' class=' answer'><span>in the interval ]-,-2.5]<\/span><\/label><\/div><!-- end question-choices--><\/div><!-- end questionWrap--><\/div><\/div><div class='watu-question ' id='question-17' style=';'><div id='questionWrap-17'  class='   watupro-question-id-182977'>\n\t\t\t<div class='question-content'><div><span class='watupro_num'>17. <\/span>I have $5m to invest in two stocks: 75% of my capital is invested in stock 1 which has price 100 and the rest is invested in stock 2, which has price 125. <br \/>\r<br>If the price of stock 1 falls to 90 and the price of stock 2 rises to 150, what is the return on my portfolio?<\/div><input type='hidden' name='question_id[]' id='qID_17' value='182977' \/><input type='hidden' id='answerType182977' value='radio'><!-- end question-content--><\/div><div class='question-choices watupro-choices-columns '><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182977[]' id='answer-id-736911' class='answer   answerof-182977 ' value='736911'   \/><label for='answer-id-736911' id='answer-label-736911' class=' answer'><span>-2.50%<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182977[]' id='answer-id-736912' class='answer   answerof-182977 ' value='736912'   \/><label for='answer-id-736912' id='answer-label-736912' class=' answer'><span>-5%<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182977[]' id='answer-id-736913' class='answer   answerof-182977 ' value='736913'   \/><label for='answer-id-736913' id='answer-label-736913' class=' answer'><span>2.50%<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182977[]' id='answer-id-736914' class='answer   answerof-182977 ' value='736914'   \/><label for='answer-id-736914' id='answer-label-736914' class=' answer'><span>5%<\/span><\/label><\/div><!-- end question-choices--><\/div><!-- end questionWrap--><\/div><\/div><div class='watu-question ' id='question-18' style=';'><div id='questionWrap-18'  class='   watupro-question-id-182978'>\n\t\t\t<div class='question-content'><div><span class='watupro_num'>18. <\/span>In a quadratic Taylor approximation, a function is approximated by:<\/div><input type='hidden' name='question_id[]' id='qID_18' value='182978' \/><input type='hidden' id='answerType182978' value='radio'><!-- end question-content--><\/div><div class='question-choices watupro-choices-columns '><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182978[]' id='answer-id-736915' class='answer   answerof-182978 ' value='736915'   \/><label for='answer-id-736915' id='answer-label-736915' class=' answer'><span>a constant<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182978[]' id='answer-id-736916' class='answer   answerof-182978 ' value='736916'   \/><label for='answer-id-736916' id='answer-label-736916' class=' answer'><span>a straight line<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182978[]' id='answer-id-736917' class='answer   answerof-182978 ' value='736917'   \/><label for='answer-id-736917' id='answer-label-736917' class=' answer'><span>a parabola<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182978[]' id='answer-id-736918' class='answer   answerof-182978 ' value='736918'   \/><label for='answer-id-736918' id='answer-label-736918' class=' answer'><span>a cubic polynomial<\/span><\/label><\/div><!-- end question-choices--><\/div><!-- end questionWrap--><\/div><\/div><div class='watu-question ' id='question-19' style=';'><div id='questionWrap-19'  class='   watupro-question-id-182979'>\n\t\t\t<div class='question-content'><div><span class='watupro_num'>19. <\/span>The determinant of a matrix X is equal 2 . <br \/>\r<br>Which of the following statements is true?<\/div><input type='hidden' name='question_id[]' id='qID_19' value='182979' \/><input type='hidden' id='answerType182979' value='radio'><!-- end question-content--><\/div><div class='question-choices watupro-choices-columns '><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182979[]' id='answer-id-736919' class='answer   answerof-182979 ' value='736919'   \/><label for='answer-id-736919' id='answer-label-736919' class=' answer'><span>det(2X) =<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182979[]' id='answer-id-736920' class='answer   answerof-182979 ' value='736920'   \/><label for='answer-id-736920' id='answer-label-736920' class=' answer'><span>det(2X) = 2 det(X)<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182979[]' id='answer-id-736921' class='answer   answerof-182979 ' value='736921'   \/><label for='answer-id-736921' id='answer-label-736921' class=' answer'><span>det(2X) = det(X)2<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182979[]' id='answer-id-736922' class='answer   answerof-182979 ' value='736922'   \/><label for='answer-id-736922' id='answer-label-736922' class=' answer'><span>det(2X) = 4 det(X)<\/span><\/label><\/div><!-- end question-choices--><\/div><!-- end questionWrap--><\/div><\/div><div class='watu-question ' id='question-20' style=';'><div id='questionWrap-20'  class='   watupro-question-id-182980'>\n\t\t\t<div class='question-content'><div><span class='watupro_num'>20. <\/span>For the function f(x) =3x-x3 which of the following is true?<\/div><input type='hidden' name='question_id[]' id='qID_20' value='182980' \/><input type='hidden' id='answerType182980' value='radio'><!-- end question-content--><\/div><div class='question-choices watupro-choices-columns '><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182980[]' id='answer-id-736923' class='answer   answerof-182980 ' value='736923'   \/><label for='answer-id-736923' id='answer-label-736923' class=' answer'><span>x = 0 is a minimum<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182980[]' id='answer-id-736924' class='answer   answerof-182980 ' value='736924'   \/><label for='answer-id-736924' id='answer-label-736924' class=' answer'><span>x = -3 is a maximum<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182980[]' id='answer-id-736925' class='answer   answerof-182980 ' value='736925'   \/><label for='answer-id-736925' id='answer-label-736925' class=' answer'><span>x = 2 is a maximum<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182980[]' id='answer-id-736926' class='answer   answerof-182980 ' value='736926'   \/><label for='answer-id-736926' id='answer-label-736926' class=' answer'><span>None of these<\/span><\/label><\/div><!-- end question-choices--><\/div><!-- end questionWrap--><\/div><\/div><div class='watu-question ' id='question-21' style=';'><div id='questionWrap-21'  class='   watupro-question-id-182981'>\n\t\t\t<div class='question-content'><div><span class='watupro_num'>21. <\/span>You intend to invest $100 000 for five years. Four different interest payment options are available. Choose the interest option that yields the highest return over the five year period.<\/div><input type='hidden' name='question_id[]' id='qID_21' value='182981' \/><input type='hidden' id='answerType182981' value='radio'><!-- end question-content--><\/div><div class='question-choices watupro-choices-columns '><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182981[]' id='answer-id-736927' class='answer   answerof-182981 ' value='736927'   \/><label for='answer-id-736927' id='answer-label-736927' class=' answer'><span>a lump-sum payment of $22 500 on maturity (in five years)<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182981[]' id='answer-id-736928' class='answer   answerof-182981 ' value='736928'   \/><label for='answer-id-736928' id='answer-label-736928' class=' answer'><span>an annually compounded rate of 4.15%<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182981[]' id='answer-id-736929' class='answer   answerof-182981 ' value='736929'   \/><label for='answer-id-736929' id='answer-label-736929' class=' answer'><span>a quarterly-compounded rate of 4.1%<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182981[]' id='answer-id-736930' class='answer   answerof-182981 ' value='736930'   \/><label for='answer-id-736930' id='answer-label-736930' class=' answer'><span>a continuously-compounded rate of 4%<\/span><\/label><\/div><!-- end question-choices--><\/div><!-- end questionWrap--><\/div><\/div><div class='watu-question ' id='question-22' style=';'><div id='questionWrap-22'  class='   watupro-question-id-182982'>\n\t\t\t<div class='question-content'><div><span class='watupro_num'>22. <\/span>Suppose we perform a principle component analysis of the correlation matrix of the returns of 13 yields along the yield curve. The largest eigenvalue of the correlation matrix is 9.8 . <br \/>\r<br>What percentage of return volatility is explained by the first component? (You may use the fact that the sum of the diagonal elements of a square matrix is always equal to the sum of its eigenvalues.)<\/div><input type='hidden' name='question_id[]' id='qID_22' value='182982' \/><input type='hidden' id='answerType182982' value='radio'><!-- end question-content--><\/div><div class='question-choices watupro-choices-columns '><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182982[]' id='answer-id-736931' class='answer   answerof-182982 ' value='736931'   \/><label for='answer-id-736931' id='answer-label-736931' class=' answer'><span>64%<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182982[]' id='answer-id-736932' class='answer   answerof-182982 ' value='736932'   \/><label for='answer-id-736932' id='answer-label-736932' class=' answer'><span>75%<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182982[]' id='answer-id-736933' class='answer   answerof-182982 ' value='736933'   \/><label for='answer-id-736933' id='answer-label-736933' class=' answer'><span>98%<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182982[]' id='answer-id-736934' class='answer   answerof-182982 ' value='736934'   \/><label for='answer-id-736934' id='answer-label-736934' class=' answer'><span>Cannot be determined without estimates of the volatilities of the individual returns<\/span><\/label><\/div><!-- end question-choices--><\/div><!-- end questionWrap--><\/div><\/div><div class='watu-question ' id='question-23' style=';'><div id='questionWrap-23'  class='   watupro-question-id-182983'>\n\t\t\t<div class='question-content'><div><span class='watupro_num'>23. <\/span>Let N(.) denote the cumulative distribution function of the standard normal probability distribution, and N' its derivative . <br \/>\r<br>Which of the following is false?<\/div><input type='hidden' name='question_id[]' id='qID_23' value='182983' \/><input type='hidden' id='answerType182983' value='radio'><!-- end question-content--><\/div><div class='question-choices watupro-choices-columns '><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182983[]' id='answer-id-736935' class='answer   answerof-182983 ' value='736935'   \/><label for='answer-id-736935' id='answer-label-736935' class=' answer'><span>N(0) = 0.5<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182983[]' id='answer-id-736936' class='answer   answerof-182983 ' value='736936'   \/><label for='answer-id-736936' id='answer-label-736936' class=' answer'><span>N'(0) 0<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182983[]' id='answer-id-736937' class='answer   answerof-182983 ' value='736937'   \/><label for='answer-id-736937' id='answer-label-736937' class=' answer'><span>N(x) 0 as x<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182983[]' id='answer-id-736938' class='answer   answerof-182983 ' value='736938'   \/><label for='answer-id-736938' id='answer-label-736938' class=' answer'><span>N'(x) 0 as x<\/span><\/label><\/div><!-- end question-choices--><\/div><!-- end questionWrap--><\/div><\/div><div class='watu-question ' id='question-24' style=';'><div id='questionWrap-24'  class='   watupro-question-id-182984'>\n\t\t\t<div class='question-content'><div><span class='watupro_num'>24. <\/span>A 2-year bond has a yield of 5% and an annual coupon of 5% . <br \/>\r<br>What is the Modified Duration of the bond?<\/div><input type='hidden' name='question_id[]' id='qID_24' value='182984' \/><input type='hidden' id='answerType182984' value='radio'><!-- end question-content--><\/div><div class='question-choices watupro-choices-columns '><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182984[]' id='answer-id-736939' class='answer   answerof-182984 ' value='736939'   \/><label for='answer-id-736939' id='answer-label-736939' class=' answer'><span>2<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182984[]' id='answer-id-736940' class='answer   answerof-182984 ' value='736940'   \/><label for='answer-id-736940' id='answer-label-736940' class=' answer'><span>1.95<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182984[]' id='answer-id-736941' class='answer   answerof-182984 ' value='736941'   \/><label for='answer-id-736941' id='answer-label-736941' class=' answer'><span>1.86<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182984[]' id='answer-id-736942' class='answer   answerof-182984 ' value='736942'   \/><label for='answer-id-736942' id='answer-label-736942' class=' answer'><span>1.75<\/span><\/label><\/div><!-- end question-choices--><\/div><!-- end questionWrap--><\/div><\/div><div class='watu-question ' id='question-25' style=';'><div id='questionWrap-25'  class='   watupro-question-id-182985'>\n\t\t\t<div class='question-content'><div><span class='watupro_num'>25. <\/span>Simple linear regression involves one dependent variable, one independent variable and one error variable. In contrast, multiple linear regression uses\u2026<\/div><input type='hidden' name='question_id[]' id='qID_25' value='182985' \/><input type='hidden' id='answerType182985' value='radio'><!-- end question-content--><\/div><div class='question-choices watupro-choices-columns '><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182985[]' id='answer-id-736943' class='answer   answerof-182985 ' value='736943'   \/><label for='answer-id-736943' id='answer-label-736943' class=' answer'><span>One dependent variable, many independent variables, one error variable<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182985[]' id='answer-id-736944' class='answer   answerof-182985 ' value='736944'   \/><label for='answer-id-736944' id='answer-label-736944' class=' answer'><span>Many dependent variables, one independent variable, one error variable<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182985[]' id='answer-id-736945' class='answer   answerof-182985 ' value='736945'   \/><label for='answer-id-736945' id='answer-label-736945' class=' answer'><span>One dependent variable, one independent variable, many error variables<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182985[]' id='answer-id-736946' class='answer   answerof-182985 ' value='736946'   \/><label for='answer-id-736946' id='answer-label-736946' class=' answer'><span>Many dependent variables, many independent variables, many error variables<\/span><\/label><\/div><!-- end question-choices--><\/div><!-- end questionWrap--><\/div><\/div><div class='watu-question ' id='question-26' style=';'><div id='questionWrap-26'  class='   watupro-question-id-182986'>\n\t\t\t<div class='question-content'><div><span class='watupro_num'>26. <\/span>Which of the following is a false statement concerning the probability density function and the cumulative distribution function of a random variable?<\/div><input type='hidden' name='question_id[]' id='qID_26' value='182986' \/><input type='hidden' id='answerType182986' value='radio'><!-- end question-content--><\/div><div class='question-choices watupro-choices-columns '><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182986[]' id='answer-id-736947' class='answer   answerof-182986 ' value='736947'   \/><label for='answer-id-736947' id='answer-label-736947' class=' answer'><span>the PDF is non-negative.<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182986[]' id='answer-id-736948' class='answer   answerof-182986 ' value='736948'   \/><label for='answer-id-736948' id='answer-label-736948' class=' answer'><span>the definite integral of the CDF from minus infinity to plus infinity is undefined.<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182986[]' id='answer-id-736949' class='answer   answerof-182986 ' value='736949'   \/><label for='answer-id-736949' id='answer-label-736949' class=' answer'><span>the CDF approaches 1 as its argument approaches infinity.<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182986[]' id='answer-id-736950' class='answer   answerof-182986 ' value='736950'   \/><label for='answer-id-736950' id='answer-label-736950' class=' answer'><span>the definite integral of the PDF from minus infinity to plus infinity is zero.<\/span><\/label><\/div><!-- end question-choices--><\/div><!-- end questionWrap--><\/div><\/div><div class='watu-question ' id='question-27' style=';'><div id='questionWrap-27'  class='   watupro-question-id-182987'>\n\t\t\t<div class='question-content'><div><span class='watupro_num'>27. <\/span>Which of the provided answers solves this system of equations? <br \/>\r<br>2y C 3x = 3y +x <br \/>\r<br>y2 + x2 = 68<\/div><input type='hidden' name='question_id[]' id='qID_27' value='182987' \/><input type='hidden' id='answerType182987' value='radio'><!-- end question-content--><\/div><div class='question-choices watupro-choices-columns '><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182987[]' id='answer-id-736951' class='answer   answerof-182987 ' value='736951'   \/><label for='answer-id-736951' id='answer-label-736951' class=' answer'><span>x = 1; y = square root of 67<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182987[]' id='answer-id-736952' class='answer   answerof-182987 ' value='736952'   \/><label for='answer-id-736952' id='answer-label-736952' class=' answer'><span>x = 2; y = 8<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182987[]' id='answer-id-736953' class='answer   answerof-182987 ' value='736953'   \/><label for='answer-id-736953' id='answer-label-736953' class=' answer'><span>x = 2; y = -8<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182987[]' id='answer-id-736954' class='answer   answerof-182987 ' value='736954'   \/><label for='answer-id-736954' id='answer-label-736954' class=' answer'><span>x = -2; y = -8<\/span><\/label><\/div><!-- end question-choices--><\/div><!-- end questionWrap--><\/div><\/div><div class='watu-question ' id='question-28' style=';'><div id='questionWrap-28'  class='   watupro-question-id-182988'>\n\t\t\t<div class='question-content'><div><span class='watupro_num'>28. <\/span>In a binomial tree lattice, at each step the underlying price can move up by a factor of u = 1.1 or down by a factor of . The continuously compounded risk free interest rate over each time step is 1% and there are no dividends paid on the underlying. <br \/>\r<br>The risk neutral probability for an up move is:<\/div><input type='hidden' name='question_id[]' id='qID_28' value='182988' \/><input type='hidden' id='answerType182988' value='radio'><!-- end question-content--><\/div><div class='question-choices watupro-choices-columns '><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182988[]' id='answer-id-736955' class='answer   answerof-182988 ' value='736955'   \/><label for='answer-id-736955' id='answer-label-736955' class=' answer'><span>0.5290<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182988[]' id='answer-id-736956' class='answer   answerof-182988 ' value='736956'   \/><label for='answer-id-736956' id='answer-label-736956' class=' answer'><span>0.5292<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182988[]' id='answer-id-736957' class='answer   answerof-182988 ' value='736957'   \/><label for='answer-id-736957' id='answer-label-736957' class=' answer'><span>0.5286<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182988[]' id='answer-id-736958' class='answer   answerof-182988 ' value='736958'   \/><label for='answer-id-736958' id='answer-label-736958' class=' answer'><span>0.5288<\/span><\/label><\/div><!-- end question-choices--><\/div><!-- end questionWrap--><\/div><\/div><div class='watu-question ' id='question-29' style=';'><div id='questionWrap-29'  class='   watupro-question-id-182989'>\n\t\t\t<div class='question-content'><div><span class='watupro_num'>29. <\/span>A simple linear regression is based on 100 data points. The total sum of squares is 1.5 and the correlation between the dependent and explanatory variables is 0.5 . <br \/>\r<br>What is the explained sum of squares?<\/div><input type='hidden' name='question_id[]' id='qID_29' value='182989' \/><input type='hidden' id='answerType182989' value='radio'><!-- end question-content--><\/div><div class='question-choices watupro-choices-columns '><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182989[]' id='answer-id-736959' class='answer   answerof-182989 ' value='736959'   \/><label for='answer-id-736959' id='answer-label-736959' class=' answer'><span>0.75<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182989[]' id='answer-id-736960' class='answer   answerof-182989 ' value='736960'   \/><label for='answer-id-736960' id='answer-label-736960' class=' answer'><span>1.125<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182989[]' id='answer-id-736961' class='answer   answerof-182989 ' value='736961'   \/><label for='answer-id-736961' id='answer-label-736961' class=' answer'><span>0.3333<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182989[]' id='answer-id-736962' class='answer   answerof-182989 ' value='736962'   \/><label for='answer-id-736962' id='answer-label-736962' class=' answer'><span>0.375<\/span><\/label><\/div><!-- end question-choices--><\/div><!-- end questionWrap--><\/div><\/div><div class='watu-question ' id='question-30' style=';'><div id='questionWrap-30'  class='   watupro-question-id-182990'>\n\t\t\t<div class='question-content'><div><span class='watupro_num'>30. <\/span>Consider two securities X and Y with the following 5 annual returns: <br \/>\r<br>X: +10%, +3%, -2%, +3%, +5% <br \/>\r<br>Y: +7%, -2%, +3%, -5%, +10% <br \/>\r<br>In this case the sample covariance between the two time series can be calculated as:<\/div><input type='hidden' name='question_id[]' id='qID_30' value='182990' \/><input type='hidden' id='answerType182990' value='radio'><!-- end question-content--><\/div><div class='question-choices watupro-choices-columns '><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182990[]' id='answer-id-736963' class='answer   answerof-182990 ' value='736963'   \/><label for='answer-id-736963' id='answer-label-736963' class=' answer'><span>0.40729<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182990[]' id='answer-id-736964' class='answer   answerof-182990 ' value='736964'   \/><label for='answer-id-736964' id='answer-label-736964' class=' answer'><span>0.00109<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182990[]' id='answer-id-736965' class='answer   answerof-182990 ' value='736965'   \/><label for='answer-id-736965' id='answer-label-736965' class=' answer'><span>0.00087<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182990[]' id='answer-id-736966' class='answer   answerof-182990 ' value='736966'   \/><label for='answer-id-736966' id='answer-label-736966' class=' answer'><span>0.32583<\/span><\/label><\/div><!-- end question-choices--><\/div><!-- end questionWrap--><\/div><\/div><div class='watu-question ' id='question-31' style=';'><div id='questionWrap-31'  class='   watupro-question-id-182991'>\n\t\t\t<div class='question-content'><div><span class='watupro_num'>31. <\/span>What is the angle between the following two three dimensional vectors: a=(1,2,3), b=(-4,2,0)?<\/div><input type='hidden' name='question_id[]' id='qID_31' value='182991' \/><input type='hidden' id='answerType182991' value='radio'><!-- end question-content--><\/div><div class='question-choices watupro-choices-columns '><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182991[]' id='answer-id-736967' class='answer   answerof-182991 ' value='736967'   \/><label for='answer-id-736967' id='answer-label-736967' class=' answer'><span>90 degrees<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182991[]' id='answer-id-736968' class='answer   answerof-182991 ' value='736968'   \/><label for='answer-id-736968' id='answer-label-736968' class=' answer'><span>180 degrees<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182991[]' id='answer-id-736969' class='answer   answerof-182991 ' value='736969'   \/><label for='answer-id-736969' id='answer-label-736969' class=' answer'><span>57 degrees<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182991[]' id='answer-id-736970' class='answer   answerof-182991 ' value='736970'   \/><label for='answer-id-736970' id='answer-label-736970' class=' answer'><span>45 degrees<\/span><\/label><\/div><!-- end question-choices--><\/div><!-- end questionWrap--><\/div><\/div><div class='watu-question ' id='question-32' style=';'><div id='questionWrap-32'  class='   watupro-question-id-182992'>\n\t\t\t<div class='question-content'><div><span class='watupro_num'>32. <\/span>Which of the following statements is true for symmetric positive definite matrices?<\/div><input type='hidden' name='question_id[]' id='qID_32' value='182992' \/><input type='hidden' id='answerType182992' value='radio'><!-- end question-content--><\/div><div class='question-choices watupro-choices-columns '><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182992[]' id='answer-id-736971' class='answer   answerof-182992 ' value='736971'   \/><label for='answer-id-736971' id='answer-label-736971' class=' answer'><span>Its eigenvalues are all positive<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182992[]' id='answer-id-736972' class='answer   answerof-182992 ' value='736972'   \/><label for='answer-id-736972' id='answer-label-736972' class=' answer'><span>One of its eigenvalues equals 0<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182992[]' id='answer-id-736973' class='answer   answerof-182992 ' value='736973'   \/><label for='answer-id-736973' id='answer-label-736973' class=' answer'><span>If a is its eigenvalue, then -a is also its eigenvalue<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182992[]' id='answer-id-736974' class='answer   answerof-182992 ' value='736974'   \/><label for='answer-id-736974' id='answer-label-736974' class=' answer'><span>If a is its eigenvalue, then is also its eigenvalue<\/span><\/label><\/div><!-- end question-choices--><\/div><!-- end questionWrap--><\/div><\/div><div class='watu-question ' id='question-33' style=';'><div id='questionWrap-33'  class='   watupro-question-id-182993'>\n\t\t\t<div class='question-content'><div><span class='watupro_num'>33. <\/span>Solve the simultaneous linear equations: x + 2y - 2 = 0 and y - 3x = 8<\/div><input type='hidden' name='question_id[]' id='qID_33' value='182993' \/><input type='hidden' id='answerType182993' value='radio'><!-- end question-content--><\/div><div class='question-choices watupro-choices-columns '><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182993[]' id='answer-id-736975' class='answer   answerof-182993 ' value='736975'   \/><label for='answer-id-736975' id='answer-label-736975' class=' answer'><span>x = 1, y = 0.5<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182993[]' id='answer-id-736976' class='answer   answerof-182993 ' value='736976'   \/><label for='answer-id-736976' id='answer-label-736976' class=' answer'><span>x = -2, y = 2<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182993[]' id='answer-id-736977' class='answer   answerof-182993 ' value='736977'   \/><label for='answer-id-736977' id='answer-label-736977' class=' answer'><span>x = 2, y = 0<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182993[]' id='answer-id-736978' class='answer   answerof-182993 ' value='736978'   \/><label for='answer-id-736978' id='answer-label-736978' class=' answer'><span>None of the above<\/span><\/label><\/div><!-- end question-choices--><\/div><!-- end questionWrap--><\/div><\/div><div class='watu-question ' id='question-34' style=';'><div id='questionWrap-34'  class='   watupro-question-id-182994'>\n\t\t\t<div class='question-content'><div><span class='watupro_num'>34. <\/span>Calculate the determinant of the following matrix:<\/div><input type='hidden' name='question_id[]' id='qID_34' value='182994' \/><input type='hidden' id='answerType182994' value='radio'><!-- end question-content--><\/div><div class='question-choices watupro-choices-columns '><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182994[]' id='answer-id-736979' class='answer   answerof-182994 ' value='736979'   \/><label for='answer-id-736979' id='answer-label-736979' class=' answer'><span>4.25<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182994[]' id='answer-id-736980' class='answer   answerof-182994 ' value='736980'   \/><label for='answer-id-736980' id='answer-label-736980' class=' answer'><span>-4.25<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182994[]' id='answer-id-736981' class='answer   answerof-182994 ' value='736981'   \/><label for='answer-id-736981' id='answer-label-736981' class=' answer'><span>4<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182994[]' id='answer-id-736982' class='answer   answerof-182994 ' value='736982'   \/><label for='answer-id-736982' id='answer-label-736982' class=' answer'><span>2<\/span><\/label><\/div><!-- end question-choices--><\/div><!-- end questionWrap--><\/div><\/div><div class='watu-question ' id='question-35' style=';'><div id='questionWrap-35'  class='   watupro-question-id-182995'>\n\t\t\t<div class='question-content'><div><span class='watupro_num'>35. <\/span>At what point x does the function f(x) = x3 - 4x2 + 1 have a local minimum?<\/div><input type='hidden' name='question_id[]' id='qID_35' value='182995' \/><input type='hidden' id='answerType182995' value='radio'><!-- end question-content--><\/div><div class='question-choices watupro-choices-columns '><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182995[]' id='answer-id-736983' class='answer   answerof-182995 ' value='736983'   \/><label for='answer-id-736983' id='answer-label-736983' class=' answer'><span>-0.666666667<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182995[]' id='answer-id-736984' class='answer   answerof-182995 ' value='736984'   \/><label for='answer-id-736984' id='answer-label-736984' class=' answer'><span>0<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182995[]' id='answer-id-736985' class='answer   answerof-182995 ' value='736985'   \/><label for='answer-id-736985' id='answer-label-736985' class=' answer'><span>2.66667<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182995[]' id='answer-id-736986' class='answer   answerof-182995 ' value='736986'   \/><label for='answer-id-736986' id='answer-label-736986' class=' answer'><span>2<\/span><\/label><\/div><!-- end question-choices--><\/div><!-- end questionWrap--><\/div><\/div><div class='watu-question ' id='question-36' style=';'><div id='questionWrap-36'  class='   watupro-question-id-182996'>\n\t\t\t<div class='question-content'><div><span class='watupro_num'>36. <\/span>A 95% confidence interval for a parameter estimate can be interpreted as follows:<\/div><input type='hidden' name='question_id[]' id='qID_36' value='182996' \/><input type='hidden' id='answerType182996' value='radio'><!-- end question-content--><\/div><div class='question-choices watupro-choices-columns '><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182996[]' id='answer-id-736987' class='answer   answerof-182996 ' value='736987'   \/><label for='answer-id-736987' id='answer-label-736987' class=' answer'><span>The probability that the real value of the parameter is within this interval is 95%.<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182996[]' id='answer-id-736988' class='answer   answerof-182996 ' value='736988'   \/><label for='answer-id-736988' id='answer-label-736988' class=' answer'><span>The probability that the real value of the parameter is outside this interval is 95%.<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182996[]' id='answer-id-736989' class='answer   answerof-182996 ' value='736989'   \/><label for='answer-id-736989' id='answer-label-736989' class=' answer'><span>The probability that the estimated value of the parameter is within this interval is 95%.<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182996[]' id='answer-id-736990' class='answer   answerof-182996 ' value='736990'   \/><label for='answer-id-736990' id='answer-label-736990' class=' answer'><span>The probability that the estimated value of the parameter is outside this interval is 95%.<\/span><\/label><\/div><!-- end question-choices--><\/div><!-- end questionWrap--><\/div><\/div><div class='watu-question ' id='question-37' style=';'><div id='questionWrap-37'  class='   watupro-question-id-182997'>\n\t\t\t<div class='question-content'><div><span class='watupro_num'>37. <\/span>Suppose I trade an option and I wish to hedge that option for delta and vega. Another option is available to trade. <br \/>\r<br>To complete the hedge I would<\/div><input type='hidden' name='question_id[]' id='qID_37' value='182997' \/><input type='hidden' id='answerType182997' value='radio'><!-- end question-content--><\/div><div class='question-choices watupro-choices-columns '><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182997[]' id='answer-id-736991' class='answer   answerof-182997 ' value='736991'   \/><label for='answer-id-736991' id='answer-label-736991' class=' answer'><span>trade the underlying in such a way as to make the portfolio delta and vega neutral.<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182997[]' id='answer-id-736992' class='answer   answerof-182997 ' value='736992'   \/><label for='answer-id-736992' id='answer-label-736992' class=' answer'><span>trade the other option in such a way as to make the portfolio delta and vega neutral.<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182997[]' id='answer-id-736993' class='answer   answerof-182997 ' value='736993'   \/><label for='answer-id-736993' id='answer-label-736993' class=' answer'><span>trade the other option in such a way as to make the portfolio vega neutral, and then trade the underlying in such a way as to make the portfolio delta neutral.<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182997[]' id='answer-id-736994' class='answer   answerof-182997 ' value='736994'   \/><label for='answer-id-736994' id='answer-label-736994' class=' answer'><span>trade the underlying in such a way as to make the portfolio delta neutral, and then trade the other option in such a way as to make the portfolio vega neutral.<\/span><\/label><\/div><!-- end question-choices--><\/div><!-- end questionWrap--><\/div><\/div><div class='watu-question ' id='question-38' style=';'><div id='questionWrap-38'  class='   watupro-question-id-182998'>\n\t\t\t<div class='question-content'><div><span class='watupro_num'>38. <\/span>For each of the following functions, indicate whether its graph is concave or convex: <br \/>\r<br>Y = 7x2 + 3x + 9 <br \/>\r<br>Y = 6 ln(3x) <br \/>\r<br>Y = exp(-4x)<\/div><input type='hidden' name='question_id[]' id='qID_38' value='182998' \/><input type='hidden' id='answerType182998' value='radio'><!-- end question-content--><\/div><div class='question-choices watupro-choices-columns '><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182998[]' id='answer-id-736995' class='answer   answerof-182998 ' value='736995'   \/><label for='answer-id-736995' id='answer-label-736995' class=' answer'><span>concave, concave, concave<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182998[]' id='answer-id-736996' class='answer   answerof-182998 ' value='736996'   \/><label for='answer-id-736996' id='answer-label-736996' class=' answer'><span>concave, convex, convex<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182998[]' id='answer-id-736997' class='answer   answerof-182998 ' value='736997'   \/><label for='answer-id-736997' id='answer-label-736997' class=' answer'><span>convex, concave, concave<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182998[]' id='answer-id-736998' class='answer   answerof-182998 ' value='736998'   \/><label for='answer-id-736998' id='answer-label-736998' class=' answer'><span>convex, convex, concave<\/span><\/label><\/div><!-- end question-choices--><\/div><!-- end questionWrap--><\/div><\/div><div class='watu-question ' id='question-39' style=';'><div id='questionWrap-39'  class='   watupro-question-id-182999'>\n\t\t\t<div class='question-content'><div><span class='watupro_num'>39. <\/span>You are given the following regressions of the first difference of the log of a commodity price on the lagged price and of the first difference of the log return on the lagged log return. Each regression is based on 100 data points and figures in square brackets denote the estimated standard errors of the coefficient estimates: <br \/>\r<br>Which of the following hypotheses can be accepted based on these regressions at the 5% confidence level (corresponding to a critical value of the Dickey Fuller test statistic of C 2.89)?<\/div><input type='hidden' name='question_id[]' id='qID_39' value='182999' \/><input type='hidden' id='answerType182999' value='radio'><!-- end question-content--><\/div><div class='question-choices watupro-choices-columns '><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182999[]' id='answer-id-736999' class='answer   answerof-182999 ' value='736999'   \/><label for='answer-id-736999' id='answer-label-736999' class=' answer'><span>The commodity prices are stationary<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182999[]' id='answer-id-737000' class='answer   answerof-182999 ' value='737000'   \/><label for='answer-id-737000' id='answer-label-737000' class=' answer'><span>The commodity returns are stationary<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182999[]' id='answer-id-737001' class='answer   answerof-182999 ' value='737001'   \/><label for='answer-id-737001' id='answer-label-737001' class=' answer'><span>The commodity returns are integrated of order 1<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-182999[]' id='answer-id-737002' class='answer   answerof-182999 ' value='737002'   \/><label for='answer-id-737002' id='answer-label-737002' class=' answer'><span>None of the above<\/span><\/label><\/div><!-- end question-choices--><\/div><!-- end questionWrap--><\/div><\/div><div class='watu-question ' id='question-40' style=';'><div id='questionWrap-40'  class='   watupro-question-id-183000'>\n\t\t\t<div class='question-content'><div><span class='watupro_num'>40. <\/span>In a multiple linear regression, the significance of R2 can be tested using which distribution?<\/div><input type='hidden' name='question_id[]' id='qID_40' value='183000' \/><input type='hidden' id='answerType183000' value='radio'><!-- end question-content--><\/div><div class='question-choices watupro-choices-columns '><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-183000[]' id='answer-id-737003' class='answer   answerof-183000 ' value='737003'   \/><label for='answer-id-737003' id='answer-label-737003' class=' answer'><span>Normal distribution<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-183000[]' id='answer-id-737004' class='answer   answerof-183000 ' value='737004'   \/><label for='answer-id-737004' id='answer-label-737004' class=' answer'><span>Student's t distribution<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-183000[]' id='answer-id-737005' class='answer   answerof-183000 ' value='737005'   \/><label for='answer-id-737005' id='answer-label-737005' class=' answer'><span>F-distribution<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-183000[]' id='answer-id-737006' class='answer   answerof-183000 ' value='737006'   \/><label for='answer-id-737006' id='answer-label-737006' class=' answer'><span>Binomial distribution<\/span><\/label><\/div><!-- end question-choices--><\/div><!-- end questionWrap--><\/div><\/div><div class='watu-question ' id='question-41' style=';'><div id='questionWrap-41'  class='   watupro-question-id-183001'>\n\t\t\t<div class='question-content'><div><span class='watupro_num'>41. <\/span>If A and B are two events with P(A) = 1\/4, P(B) = 1\/3 and P(A intersection B) =1\/5, what is P(Bc | Ac) i.e. the probability of the complement of B when the complement of A is given?<\/div><input type='hidden' name='question_id[]' id='qID_41' value='183001' \/><input type='hidden' id='answerType183001' value='radio'><!-- end question-content--><\/div><div class='question-choices watupro-choices-columns '><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-183001[]' id='answer-id-737007' class='answer   answerof-183001 ' value='737007'   \/><label for='answer-id-737007' id='answer-label-737007' class=' answer'><span>12\/29<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-183001[]' id='answer-id-737008' class='answer   answerof-183001 ' value='737008'   \/><label for='answer-id-737008' id='answer-label-737008' class=' answer'><span>37\/45<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-183001[]' id='answer-id-737009' class='answer   answerof-183001 ' value='737009'   \/><label for='answer-id-737009' id='answer-label-737009' class=' answer'><span>3\/4<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-183001[]' id='answer-id-737010' class='answer   answerof-183001 ' value='737010'   \/><label for='answer-id-737010' id='answer-label-737010' class=' answer'><span>None of these<\/span><\/label><\/div><!-- end question-choices--><\/div><!-- end questionWrap--><\/div><\/div><div class='watu-question ' id='question-42' style=';'><div id='questionWrap-42'  class='   watupro-question-id-183002'>\n\t\t\t<div class='question-content'><div><span class='watupro_num'>42. <\/span>What is the maximum value of the function F(x, y)=x2+y2 in the domain defined by inequalities x 1, y -2, y-x 3 ?<\/div><input type='hidden' name='question_id[]' id='qID_42' value='183002' \/><input type='hidden' id='answerType183002' value='radio'><!-- end question-content--><\/div><div class='question-choices watupro-choices-columns '><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-183002[]' id='answer-id-737011' class='answer   answerof-183002 ' value='737011'   \/><label for='answer-id-737011' id='answer-label-737011' class=' answer'><span>29<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-183002[]' id='answer-id-737012' class='answer   answerof-183002 ' value='737012'   \/><label for='answer-id-737012' id='answer-label-737012' class=' answer'><span>-25<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-183002[]' id='answer-id-737013' class='answer   answerof-183002 ' value='737013'   \/><label for='answer-id-737013' id='answer-label-737013' class=' answer'><span>1<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-183002[]' id='answer-id-737014' class='answer   answerof-183002 ' value='737014'   \/><label for='answer-id-737014' id='answer-label-737014' class=' answer'><span>17<\/span><\/label><\/div><!-- end question-choices--><\/div><!-- end questionWrap--><\/div><\/div><div class='watu-question ' id='question-43' style=';'><div id='questionWrap-43'  class='   watupro-question-id-183003'>\n\t\t\t<div class='question-content'><div><span class='watupro_num'>43. <\/span>Which of the following statements are true about Maximum Likelihood Estimation? <br \/>\r<br>(i) MLE can be applied even if the error terms are not i.i.d. normal. <br \/>\r<br>(ii) MLE involves integrating a likelihood function or a log-likelihood function. <br \/>\r<br>(iii) MLE yields parameter estimates that are consistent.<\/div><input type='hidden' name='question_id[]' id='qID_43' value='183003' \/><input type='hidden' id='answerType183003' value='radio'><!-- end question-content--><\/div><div class='question-choices watupro-choices-columns '><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-183003[]' id='answer-id-737015' class='answer   answerof-183003 ' value='737015'   \/><label for='answer-id-737015' id='answer-label-737015' class=' answer'><span>(i) and (ii)<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-183003[]' id='answer-id-737016' class='answer   answerof-183003 ' value='737016'   \/><label for='answer-id-737016' id='answer-label-737016' class=' answer'><span>(i) only<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-183003[]' id='answer-id-737017' class='answer   answerof-183003 ' value='737017'   \/><label for='answer-id-737017' id='answer-label-737017' class=' answer'><span>(i) and (iii)<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-183003[]' id='answer-id-737018' class='answer   answerof-183003 ' value='737018'   \/><label for='answer-id-737018' id='answer-label-737018' class=' answer'><span>(i), (ii), and (iii)<\/span><\/label><\/div><!-- end question-choices--><\/div><!-- end questionWrap--><\/div><\/div><div class='watu-question ' id='question-44' style=';'><div id='questionWrap-44'  class='   watupro-question-id-183004'>\n\t\t\t<div class='question-content'><div><span class='watupro_num'>44. <\/span>An option has value 10 when the underlying price is 99 and value 9.5 when the underlying price is 101. Approximate the value of the option delta using a first order central finite difference.<\/div><input type='hidden' name='question_id[]' id='qID_44' value='183004' \/><input type='hidden' id='answerType183004' value='radio'><!-- end question-content--><\/div><div class='question-choices watupro-choices-columns '><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-183004[]' id='answer-id-737019' class='answer   answerof-183004 ' value='737019'   \/><label for='answer-id-737019' id='answer-label-737019' class=' answer'><span>-4<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-183004[]' id='answer-id-737020' class='answer   answerof-183004 ' value='737020'   \/><label for='answer-id-737020' id='answer-label-737020' class=' answer'><span>0.25<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-183004[]' id='answer-id-737021' class='answer   answerof-183004 ' value='737021'   \/><label for='answer-id-737021' id='answer-label-737021' class=' answer'><span>-0.5<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-183004[]' id='answer-id-737022' class='answer   answerof-183004 ' value='737022'   \/><label for='answer-id-737022' id='answer-label-737022' class=' answer'><span>-0.25<\/span><\/label><\/div><!-- end question-choices--><\/div><!-- end questionWrap--><\/div><\/div><div class='watu-question ' id='question-45' style=';'><div id='questionWrap-45'  class='   watupro-question-id-183005'>\n\t\t\t<div class='question-content'><div><span class='watupro_num'>45. <\/span>Every covariance matrix must be positive semi-definite. If it were not then:<\/div><input type='hidden' name='question_id[]' id='qID_45' value='183005' \/><input type='hidden' id='answerType183005' value='radio'><!-- end question-content--><\/div><div class='question-choices watupro-choices-columns '><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-183005[]' id='answer-id-737023' class='answer   answerof-183005 ' value='737023'   \/><label for='answer-id-737023' id='answer-label-737023' class=' answer'><span>Some portfolios could have a negative variance<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-183005[]' id='answer-id-737024' class='answer   answerof-183005 ' value='737024'   \/><label for='answer-id-737024' id='answer-label-737024' class=' answer'><span>One or more of its eigenvalues would be negative<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-183005[]' id='answer-id-737025' class='answer   answerof-183005 ' value='737025'   \/><label for='answer-id-737025' id='answer-label-737025' class=' answer'><span>There would be no Cholesky decomposition matrix<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-183005[]' id='answer-id-737026' class='answer   answerof-183005 ' value='737026'   \/><label for='answer-id-737026' id='answer-label-737026' class=' answer'><span>All the above statements are true<\/span><\/label><\/div><!-- end question-choices--><\/div><!-- end questionWrap--><\/div><\/div><div class='watu-question ' id='question-46' style=';'><div id='questionWrap-46'  class='   watupro-question-id-183006'>\n\t\t\t<div class='question-content'><div><span class='watupro_num'>46. <\/span>Which of the following can be used to evaluate a regression model? <br \/>\r<br>(i) Magnitude of R2 <br \/>\r<br>(ii) Magnitude of TSS (total sum of squares) <br \/>\r<br>(iii) Tests for statistical significance <br \/>\r<br>(iv) Sign and magnitude of each regression parameter<\/div><input type='hidden' name='question_id[]' id='qID_46' value='183006' \/><input type='hidden' id='answerType183006' value='radio'><!-- end question-content--><\/div><div class='question-choices watupro-choices-columns '><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-183006[]' id='answer-id-737027' class='answer   answerof-183006 ' value='737027'   \/><label for='answer-id-737027' id='answer-label-737027' class=' answer'><span>(i) and (iv)<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-183006[]' id='answer-id-737028' class='answer   answerof-183006 ' value='737028'   \/><label for='answer-id-737028' id='answer-label-737028' class=' answer'><span>(i), (ii), and (iii)<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-183006[]' id='answer-id-737029' class='answer   answerof-183006 ' value='737029'   \/><label for='answer-id-737029' id='answer-label-737029' class=' answer'><span>(i), (iii), and (iv)<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-183006[]' id='answer-id-737030' class='answer   answerof-183006 ' value='737030'   \/><label for='answer-id-737030' id='answer-label-737030' class=' answer'><span>(i), (ii), (iii), and (iv)<\/span><\/label><\/div><!-- end question-choices--><\/div><!-- end questionWrap--><\/div><\/div><div class='watu-question ' id='question-47' style=';'><div id='questionWrap-47'  class='   watupro-question-id-183007'>\n\t\t\t<div class='question-content'><div><span class='watupro_num'>47. <\/span>Which of the following properties is exhibited by multiplication, but not by addition?<\/div><input type='hidden' name='question_id[]' id='qID_47' value='183007' \/><input type='hidden' id='answerType183007' value='radio'><!-- end question-content--><\/div><div class='question-choices watupro-choices-columns '><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-183007[]' id='answer-id-737031' class='answer   answerof-183007 ' value='737031'   \/><label for='answer-id-737031' id='answer-label-737031' class=' answer'><span>associativity<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-183007[]' id='answer-id-737032' class='answer   answerof-183007 ' value='737032'   \/><label for='answer-id-737032' id='answer-label-737032' class=' answer'><span>commutativity<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-183007[]' id='answer-id-737033' class='answer   answerof-183007 ' value='737033'   \/><label for='answer-id-737033' id='answer-label-737033' class=' answer'><span>distributivity<\/span><\/label><\/div><div class='watupro-question-choice  ' dir='auto' ><input type='radio' name='answer-183007[]' id='answer-id-737034' class='answer   answerof-183007 ' value='737034'   \/><label for='answer-id-737034' id='answer-label-737034' class=' answer'><span>invertibility<\/span><\/label><\/div><!-- end question-choices--><\/div><!-- end questionWrap--><\/div><\/div><div style='display:none' id='question-48'>\n\t<div class='question-content'>\n\t\t<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.dumpsbase.com\/freedumps\/wp-content\/plugins\/watupro\/img\/loading.gif\" width=\"16\" height=\"16\" alt=\"Loading...\" title=\"Loading...\" \/>&nbsp;Loading...\t<\/div>\n<\/div>\n\n<br \/>\n\t\n\t\t\t<div class=\"watupro_buttons flex \" id=\"watuPROButtons5533\" >\n\t\t  <div id=\"prev-question\" style=\"display:none;\"><input type=\"button\" value=\"&lt; Previous\" onclick=\"WatuPRO.nextQuestion(event, 'previous');\"\/><\/div>\t\t  \t\t  \t\t   \n\t\t   \t  \t\t<div><input type=\"button\" name=\"action\" class=\"watupro-submit-button\" onclick=\"WatuPRO.submitResult(event)\" 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