New Body, a gym, bought new exercise equipment on credit. The purchase price was $10,438.88. They secure the loan with a financi

Question

3 years ago

9

New Body, a gym, bought new exercise equipment on credit. The purchase price was $10,438.88. They secure the loan with a financi

ng company that charges 6.25% per year compounded quarterly for 6 years. How much are their quarterly payments?
Present Value with compound interest
Future V alue of an Annuity
Present V alue of an Annuity
Amortization
Sinking Fund

a. $578.41
b. $524.94
c. $503.78
d. $612.94
e. $486.78

Business

1 answer:

LiRa [457] · Answer 1 · 2022-08-04T16:00:33+03:00

Answer:

b. $524.94

Explanation:

We need to solve for the PTM of a 6 year annuity with quarterly payment discount for 6.25% compounding quarterly as well:

$PV \div \frac{1-(1+r)^{-time} }{rate} = PTM\\$

PV $10,438.8800

time 24 (6 years x 4 quarter per year)

rate 0.015625 8 ( 0.0625 / 4 )

The payment every quarter will be for:

$10438.88 \div \frac{1-(1+0.015625)^{-24} }{0.015625} = PTM\\$

PTM $ 524.942