1. A recently graduated mechanical engineer wants to build a reserve fund as a safety net to pay his expenses in the unlikely event that he is without work for a short time. His aim is to have $15,000 developed over the next 3 years, with the proviso that the amount has the same purchasing power as $15,000 today. If the expected market rate on investments is 8% per year and inflation is averaging 2% per year, find the annual amount necessary to meet his goal.

Question

Adrianna Pacheco

Business

10 February, 09:46

1. A recently graduated mechanical engineer wants to build a reserve fund as a safety net to pay his expenses in the unlikely event that he is without work for a short time. His aim is to have $15,000 developed over the next 3 years, with the proviso that the amount has the same purchasing power as $15,000 today. If the expected market rate on investments is 8% per year and inflation is averaging 2% per year, find the annual amount necessary to meet his goal.

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Chiquita · Answer 1

The annual amount necessary to meet his goal is $6,049

Explanation:

In order to calculate the the annual amount necessary to meet his goal, first we have to calculate the Inflation adjusted interest rate with the following equation:

Inflation adjusted interest rate = (1+8%) * (1+2%) - 1

Inflation adjusted interest rate = 10.16%

Therefore, to calculate the the annual amount necessary to meet his goal (P) we shall use the following formula:

$15,000 = P * (1-1/1.1016^3) / 0.1016

P = $15,000 / ((1-1/1.1016^3) / 0.1016)

P = $6,049

The annual amount necessary to meet his goal is $6,049