You Invest $1,000 in a Risky Asset with an Expected

question 51

Multiple Choice

You invest $1,000 in a risky asset with an expected rate of return of 0.17 and a standard deviation of 0.40 and a T-bill with a rate of return of 0.04. What percentages of your money must be invested in the risk-free asset and the risky asset, respectively, to form a portfolio with a standard deviation of 0.20?

• A)30% and 70%
• B)50% and 50%
• C)60% and 40%
• D)40% and 60%

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Definitions:

Expected Return

The predicted average of possible returns for an investment, accounting for the probability of each outcome and its associated return.

Risk-Adjusted Discount Rate

A discount rate that adjusts for the risk of the cash flows, giving a more accurate present value estimate.

Market Return

The total return on investment, including dividends and capital gains, from holding a market portfolio.

Nondiversifiable Risk

A type of risk that affects all investments across the market and cannot be eliminated through diversification.