A small business has determined that the machinery they currently use will wear out in 16 years. To replace the new machine when

Question

3 years ago

5

A small business has determined that the machinery they currently use will wear out in 16 years. To replace the new machine when

it wears out, the company wants to establish a savings account today. If the interest rate on the account is 1.9 percent per quarter and the cost of the machinery will be $325,000, how much will the company have to deposit today

Business

1 answer:

Vlad [161] · Answer 1 · 2022-04-17T19:34:28+03:00

Answer:

The initial deposit should be of: $97,439.62

Explanation:

Giving the following information:

To replace the new machine when it wears out, the company wants to establish a savings account today. The interest rate on the account is 1.9 percent per quarter and the cost of the machinery is $325,000.

To calculate the initial investment required, we need to use a variation on the simple interest future value formula:

FV= PV*(1+i)^n

PV= present value

Isolating PV:

PV= FV/(1+i)^n

i= 0.019

n= 4*16= 64

FV= 325,000

PV= 325,000/ (1.019^64)= $97,439.62