Question

what is the equivalent present amount of an eight year series of decreasing amaounts if the interest rate is 10% compounded annually, the first year amount is $20,000, and the rate of decrease is $800 per year

Answer 1

Answer: $93,876

Explanation:

The equivalent present amount of an 8year series of decreasing amounts when the interest rate is 10% compounded annually, the first year amount is $20,000, and the rate of decrease is $800 per year will be calculated thus:

PV = C / (1+r) ^ t

= 20,000/1.1 + 19,200/1.1² + 18,400/1.1³ + 17,600/1.1⁴ +16,800/1.1^5 + 16,000/1.1^6 + 15,200/1.1^7 + 14,400/1.1^8

= $93,876

Therefore, the equivalent present value is $93,876.