Question

A set of speakers may be purchased now for $1000 or by making a down payment of $150 and additional payments of $100 at the end of each of the next ten months. Compute the nominal annual interest rate for the time payment plan.

Answer 1

the nominal annual interest rate on the payment plan is 15%

Step-by-step explanation:

According to the question, a one-time payment for the speakers will cost $1,000

An installmental payment will have a $150 down payment and then another $100 fro ten subsequent months.

Calculating the total payment at tthe end of the payment plan will give

$150 + ($100 x 10months)

we have, $150 + $1,000 = $1,150.

This shows that at the end of the payment plan, the set of speakers would have cost $1,150 instead of $1,00 one-time payment.

Step 2:

To calculate the interest rate, we subtract the one-time price from the payment plan price and express it as a percentage of the one time price to get tthe interest rate.

$1,150-$1,000 = $150

then we have,

($150 ÷ $1,000) × 100%

= 0.15 × 100%

- 15%

The nominal annual interest rate is 15%.

Cheers.