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You invest $1,000 in a complete portfolio. The complete portfolio is composed of a risky asset with an expected rate of return of 16% and

You invest $1,000 in a complete portfolio. The complete portfolio is composed of a risky asset with an expected rate of return of 16% and a standard deviation of 20% and a treasury bill with a rate of return of 5%.

  1. What is the proportion of your complete portfolio that should be invested in the risky portfolio if you want your complete portfolio to have a standard deviation of 9%?
  2. What are the proportions of the risky portfolio and risk free asset when a complete portfolio that has an expected value of $1,200 in one year?
  3. Draw the CAL of your portfolio on an expected return/standard deviation diagram.
  4. What is the slope of the capital allocation line (reward to volatility ratio) formed with the risky portfolio?

2) You sell short 300 shares of Microsoft which are currently selling at $30 per share. You post the 50% margin required on the short sale. If Microsoft currently paid $1 dividend and the dividends increase by 100 percent per year, what will be your rate of return after one year if Microsoft is selling at $27?

3)

You buy one share of a stock today for $30 and you hold it for three years and sell it for $36.6 three years later. The company plans to pay dividends beginning one year from today as $2 a share and increase that amount by 100 percent per year for the following two years. What is the holding period return and APR?

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