Alex Goh Is 39 Years Old and Has Accumulated $128,000

question 78

Multiple Choice

Alex Goh is 39 years old and has accumulated $128,000 in his self-directed defined contribution pension plan. Each year he contributes $2,500 to the plan and his employer contributes an equal amount. Alex thinks he will retire at age 62 and figures he will live to age 86. 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 11% and has a standard deviation of 37%. Alex now has 25% of his money in the risk-free investment and 75% 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 Alex be sure of having in the safe account at retirement?

• A)$132,473
• B)$162,557
• C)$178,943
• D)$189,211
• E)$124,643

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Definitions:

Repeated Game

A strategic scenario in game theory where the same game is played several times, allowing players to revise their strategy based on past outcomes.

Nash Equilibrium

A concept in game theory where each player's strategy is optimal given the strategies of all other players in the game, leading to a situation from which no player has an incentive to deviate.

Prisoner's Dilemma

A scenario in game theory where two individuals acting in their own self-interest do not produce the optimal outcome, showcasing the conflict between personal and collective rationality.

Payoff Matrix

A table that illustrates the outcomes (or payoffs) of different strategies or decisions made by players in a strategic or game-theoretic context.