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

question 29

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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?


Definitions:

Collusion

The practice of firms to negotiate price and/or market share decisions that limit competition in a market.

Concentration Ratios

Concentration ratios are measures that indicate the extent of market control by the largest firms within an industry, reflecting the degree of market competition.

High Concentration

A situation in a market where a small number of firms hold a large market share, often leading to reduced competition.

Herfindahl-Hirschman Index

A measure used to evaluate the level of competition within an industry, calculated by squaring the market share of each firm within the industry and then summing the resulting numbers.

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