Stephanie Watson Is 23 Years Old and Has Accumulated $4,000

Stephanie Watson is 23 years old and has accumulated $4,000 in her self directed defined contribution pension plan. Each year she contributes $2,000 to the plan, and her employer contributes an equal amount. Stephanie thinks she will retire at age 67 and figures she will live to age 81. The plan allows for two types of investments. One offers a 3.5% risk free real rate of return. The other offers an expected return of 10% and has a standard deviation of 23%. Stephanie now has 5% of her money in the risk free investment and 95% 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 can Stephanie expect to have in her risky account at retirement?

A) $2,731,838
B) $2,915,415
C) $1,425,316
D) $224,651
E) $3,545,886