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Genny Webb Is 27 Years Old and Has Accumulated $7,500

question 21

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Genny Webb is 27 years old and has accumulated $7,500 in her self directed defined contribution pension plan. Each year she contributes $2,000 to the plan, and her employer contributes an equal amount. Genny thinks she will retire at age 63 and figures she will live to age 90. The plan allows for two types of investments. One offers a 3% risk free real rate of return. The other offers an expected return of 12% and has a standard deviation of 39%. Genny now has 20% of her money in the risk free investment and 80% in the risky investment. She plans to continue saving at the same rate and keep the same proportions invested in each of the investments. Her salary will grow at the same rate as inflation. How much does Genny currently have in the safe account; how much in the risky account?


Definitions:

Portfolio Standard Deviation

A measure of the dispersion of returns from a portfolio, indicating the portfolio's risk.

Cyclical Stock

Shares of companies whose earnings and stock price are heavily influenced by the ups and downs of the economy at large.

Countercyclical Stock

A type of stock whose performance is inversely related to the overall state of the economy; it tends to perform well during economic downturns.

Expected Return

Expected Return is the anticipated amount of profit or loss an investment is likely to generate, accounting for both the risk of the investment and the time value of money.

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