Alan Barnett Is 43 Years Old and Has Accumulated $78,000

question 18

Multiple Choice

Alan Barnett is 43 years old and has accumulated $78,000 in his self directed defined contribution pension plan. Each year he contributes $1,500 to the plan, and his employer contributes an equal amount. Alan thinks he will retire at age 60 and figures he will live to age 83. The plan allows for two types of investments. One offers a 4% risk free real rate of return. The other offers an expected return of 10% and has a standard deviation of 34%. Alan now has 40% of his money in the risk free investment and 60% in the risky investment. He plans to continue saving at the same rate and keep the same proportions invested in each of the investments. His salary will grow at the same rate as inflation. How much can Alan expect to have in his risky account at retirement?

• A) $158,982
• B) $309,529
• C) $543,781
• D) $224,651
• E) $345,886

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Definitions:

Myelencephalon

The posterior part of the brainstem, comprising the medulla oblongata, involved in regulating vital bodily functions.

Medulla Oblongata

A part of the brainstem involved in autonomic functions, such as breathing, heart rate, and blood pressure.

Telencephalon

The largest part of the brain, responsible for voluntary motor function, cognition, emotion, and sensory processing.

Cranial Nerve VII

Also known as the facial nerve, it controls the muscles of facial expression, convey taste sensations from the anterior two-thirds of the tongue, and supply the lacrimal and salivary glands.