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Computation of expected return and the volatility of your portfolio
Suppose you have $50,000 in cash and you'd like to take advantage of the broad undervaluation in the equity market by investing heavily in stocks. Your plan is to borrow another $50,000 at an interest rate of 5% per year for one year and to invest the entire $100,000 in the S&P500. Historically S&P 500 has produced an average return of 15% per year at a volatility of 25% per year.
What is the expected return and the volatility of your portfolio?
a. E(r) = 25% ; Sigma(r) = 25%
b. E(r) = 15% ; Sigma(r) = 12.5%
c. E(r) = 15% ; Sigma(r) = 25%
d. E(r) = 15% ; Sigma(r) = 50%
e. E(r) = 25% ; Sigma(r) = 50%
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