  # The Capital Asset Pricing Model (CAPM) is a financial model that assumes returns on a portfolio are normally distributed. Suppose a portfolio has an average annual return of 14.7% (i.e. an average gain of 14.7%) with a standard deviation of 33%. A return of 0% means the value of the portfolio doesn’t change, a negative return means that the portfolio loses money, and a positive return means that the portfolio gains money.What percent of years does this portfolio lose money, i.e. have a return less than 0%? What is the cutoff for the highest 15% of annual returns with this portfolio?

Question

The Capital Asset Pricing Model (CAPM) is a financial model that assumes returns on a portfolio are normally distributed. Suppose a portfolio has an average annual return of 14.7% (i.e. an average gain of 14.7%) with a standard deviation of 33%. A return of 0% means the value of the portfolio doesn’t change, a negative return means that the portfolio loses money, and a positive return means that the portfolio gains money.

What percent of years does this portfolio lose money, i.e. have a return less than 0%? What is the cutoff for the highest 15% of annual returns with this portfolio?

check_circleExpert Solution
Step 1

It is given that the mean and standard deviation are 14.7 and 33, respectively.

Step 2

The required percent is ob...

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