Question

Solar Hydro manufactures a revolutionary aeration system that combines coarse and fine bubble aeration components. This year (year 1) the cost for check valve components is $9,000. Based on closure of a new contract with a distributor in China and volume discounts, the company expects this cost to decrease. If the cost in year 2 and each year thereafter decreases by $560, what is the equivalent annual cost for a 5-year period at an interest rate of 10% per year

Answer 1

$7,986

Step-by-step explanation:

To calculate the equivalent annual cost for 5 year period at an interest rate of 10% per year we need to go through some minor calculations first.

DATA

Cost in first year (A) = $10,000

Decrease in cost each year after the first year (G) = $560

Interest rate = 10%

Time period = 5 years

Solution

EAC = A - G (A/G, i, n)

EAC = $9,000 - $560(A/G, 10%, 5)

EAC = $9,000 - ($560 * 1.8101)

EAC = $9,000 - $1,013.656

EAC = $7,986