In: Economics
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?
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