2. Joel purchased a security at the
2. Joel purchased a security at the start of the year for $900. Over the course of the year, the
security paid $17 in income and the price at the end of the year was $907. Calculate the capital gains yield.
3. Joel purchased a security at the start of the year for $900. Over the course of the year, the security paid $17 in income and the price at the end of the year was $907. Calculate the return on the security.
4. Suppose you are an investor with a choice between three securities that are identical in every way except in terms of their rates of return and risk.
- Investment A:
Total return = 10 percent with probability 50 percent
Total return = 20 percent with probability 50 percent
Investment B:
Total return = 12 percent with probability 40 percent
Total return = 18 percent with probability 60 percent
Investment C:
Total return = 5 percent with probability 60 percent
Total return = 25 percent with probability 40 percent
The expected return of investment C is ____ percent
5. Suppose you are an investor with a choice between three securities that are identical in every way except in terms of their rates of return and risk.
Investment A:
Total return = 10 percent with probability 50 percent
Total return = 20 percent with probability 50 percent
Investment B:
Total return = 12 percent with probability 40 percent
Total return = 18 percent with probability 60 percent
Investment C:
Total return = 5 percent with probability 60 percent
Total return = 25 percent with probability 40 percent
The standard deviation of investment A is ____ percent.
6. A stock’s price is $100 at the beginning of a year. There is a 25 percent chance that the price will be $90 at the end of the year, and a 75 percent chance that the price will be $130 at the end of the year. The stock will pay a dividend of $10 during the year. Calculate the stock’s expected return.
7. A stock’s price is $100 at the beginning of a year. There is a 25 percent chance that the price will be $90 at the end of the year, and a 75 percent chance that the price will be $130 at the end of the year. The stock will pay a dividend of $10 during the year. Calculate the standard deviation of the stock’s return.
8. Suppose you are an investor with a choice between three securities that are identical in every way except in terms of their rates of return and risk.
Investment X:
Total return = 10 percent with probability 50 percent
Total return = 20 percent with probability 50 percent
Investment Y:
Total return = 12 percent with probability 40 percent
Total return = 18 percent with probability 60 percent
Investment Z:
Total return = 5 percent with probability 60 percent
Total return = 25 percent with probability 40 percent
The expected return of investment Y is ____ percent.
Which investment is preferred by a risk-averse investor?