You estimate that the expected return of your portfolio is 30%. The standard deviation of the return is 25%. a. The returns of your portfolio are normally distributed. What is the probability of your portfolio suffering a loss greater than 20% (i.e., having a return that is less than -20%)? You may find the figure below helpful in answering the question (you can also use Excel). b. How would your answer to part a) change if the returns of your portfolio exhibited negative skewness (relative to the normal distribution) You do not

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
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) You estimate that the expected return of your portfolio is 30%. The standard deviation
of the return is 25%.
a. The returns of your portfolio are normally distributed. What is the probability
of your portfolio suffering a loss greater than 20% (i.e., having a return that is
less than -20%)?
You may find the figure below helpful in answering the question (you can also
use Excel).
b. How would your answer to part a) change if the returns of your portfolio
exhibited negative skewness (relative to the normal distribution). You do not
need to do any calculations here - you just need to state whether it would be the
same, higher or lower. Please explain your answer for full credit.
68.26%
95.44%
99.74%
-30
-20
-10
+1g
+20
+30
+40
Rate of return (%)
E Focus
MacBook Pro
Transcribed Image Text:) You estimate that the expected return of your portfolio is 30%. The standard deviation of the return is 25%. a. The returns of your portfolio are normally distributed. What is the probability of your portfolio suffering a loss greater than 20% (i.e., having a return that is less than -20%)? You may find the figure below helpful in answering the question (you can also use Excel). b. How would your answer to part a) change if the returns of your portfolio exhibited negative skewness (relative to the normal distribution). You do not need to do any calculations here - you just need to state whether it would be the same, higher or lower. Please explain your answer for full credit. 68.26% 95.44% 99.74% -30 -20 -10 +1g +20 +30 +40 Rate of return (%) E Focus MacBook Pro
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