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Chris Silvers Is 39 Years Old and Has Accumulated $128,000

question 14

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Chris Silvers 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. Chris 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%. Chris 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. Of the total amount of new funds that will be invested by Chris and by his employer on his behalf, how much will Chris put into the safe account each year; how much into the risky account?


Definitions:

Bank Statement Balance

The ending balance on a bank statement, representing the total amount of money in an account as recorded by the bank at the end of a given period.

Petty Cash Account

A small amount of cash kept on hand to pay for minor or incidental expenses.

Fund Replenishing

The process of adding money to a fund to restore its level after expenses have been incurred.

Making Payments

This process involves the transfer of funds from one party to another to settle a financial obligation or purchase.

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