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An Engineer Invests $2000 In An Individual Retirement Account (IRA) Each Year During Her 40 Year...

An Engineer Invests $2000 In An Individual Retirement Account (IRA) Each Year During Her 40 Year Career. Assume The Investment Earns An 8% rate of return. what annual income can be drawn from the investment for the 30 year following her retirement? A) 46000 B)2670 C) 17300 D)4500 E) none of the above

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Answer #1

Yearly investment = 2000

Time period = 40 years

Rate of return = 8%

What annual income can be drawn from the investment for the 30 year following her retirement?

Step 1

Calculate Future Value of the investments

FV = 2000 (F/A, 8%, 40)

FV = 2000 (259.05651)

FV = 518,113

FV at 40th year = 518,113

Let this amount is the Present value

Now calculate annual income can be drawn from the investment for the 30 year

A = P (A/P, 8%, 30)

A = 518,113 (A/P, 8%, 30)

A = 518,113 (0.08883) = 46,023.9 or 40,024

The answer nearer to this value given in the option is 46,000

Answer - A) $46,000

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