Question

In: Economics

An Engineering company is reporting income of $30,000 for the first quarter, income of $32,000 for...

An Engineering company is reporting income of $30,000 for the first quarter, income of $32,000 for the second quarter, and income increasing by $2,000 each quarter through year four. What is the equivalent uniform amount per quarter if the interest rate is 3% per quarter?

Solutions

Expert Solution

Initial Income in the first quarter = $30,000

Increase in income in each subsequent quarter = $2,000

Therefore, the given income flow can be broken down into a uniform quarterly income of $30,000 and a gradient series with G = $2,000

Interest rate = 3% per quarter

Number of compounding periods, n = 4 years = 4 * 4 quarters = 16 quarters

Equivalent uniform quarterly income = $30,000 + $2,000(A/G, 3%, 16)

From the compound interest factor table, we obtain

(A/G, 3%, 16) = 6.874

Equivalent uniform quarterly income = $30,000 + $2,000 * 6.874 = $43,748

Ans: Equivalent uniform amount per quarter = $43,748


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