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1. Suppose the current value of a portfolio of stocks is $30. Using scenario analysis of the uncertainty about next years holding period return, you

1. Suppose the current value of a portfolio of stocks is $30. Using scenario analysis of the uncertainty about next years holding period return, you calculate the following end-of-year values of the portfolio.

Scenario

Probability

End-of-year value ($)

Dividend ($)

High growth

10%

55

4

Normal growth

45%

40

4

No growth

35%

24

2

Recession

10%

20

0

What are the holding period returns of the portfolio in each scenario? Calculate the expected return (mean) and variance and standard deviation of returns on the portfolio.

2.A portfolio with a 25% standard deviation generated a return of 15% last year when T-bills were paying 4.5%. Wat is the Sharpe ratio of this portfolio?

3.An investment has a 50% chance of doubling your investment in 1 year and a 50% chance of losing half your money. What is the expected return on this investment project? What is the standard deviation?

4.A portfolio is composed of two stocks, A and B. Stock A has a standard deviation of return of 24%, while stock B has a standard deviation of return of 18%. Stock A comprises 60% of the portfolio, while stock B comprises 40% of the portfolio. If the variance of return on the portfolio is .0380, calculate the correlation coefficient between stocks A & B

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