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The daily stock returns <math>r_1</math> and <math>r_2</math> have identical marginal distributions with an expected return equal to zero. The returns are independent with a mean return of 0.05, given that both returns are less than -0.2 The covariance equals 0.0225 and the means equal -0.25, given that one return is greater than the -0.2.
You are given the following about the daily stock returns <math>r_1</math> and <math>r_2</math>:
 
*The daily stock returns <math>r_1</math> and <math>r_2</math> have identical marginal distributions with an expected return equal to zero.  
*Given that both returns are less than -0.2, the returns are independent with a mean return of 0.05.
*Given that one of the returns is greater than -0.2, the covariance equals 0.0225 and the means equal -0.25.


Determine the covariance of <math>r_1</math> and <math>r_2</math>.
Determine the covariance of <math>r_1</math> and <math>r_2</math>.


<ol style="list-style-type:upper-alpha">
<ul class="mw-excansopts">
<li>0</li>
<li>0</li>
<li>0.01317</li>
<li>0.01317</li>
Line 9: Line 13:
<li>0.0755</li>
<li>0.0755</li>
<li>0.0795</li>
<li>0.0795</li>
</ol>
</ul>

Latest revision as of 21:24, 22 July 2024

You are given the following about the daily stock returns [math]r_1[/math] and [math]r_2[/math]:

  • The daily stock returns [math]r_1[/math] and [math]r_2[/math] have identical marginal distributions with an expected return equal to zero.
  • Given that both returns are less than -0.2, the returns are independent with a mean return of 0.05.
  • Given that one of the returns is greater than -0.2, the covariance equals 0.0225 and the means equal -0.25.

Determine the covariance of [math]r_1[/math] and [math]r_2[/math].

  • 0
  • 0.01317
  • 0.01417
  • 0.0755
  • 0.0795