Question
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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