Question

"Find the amount of each payment to be made into a sinking fund which earns 7​% compounded quarterly and produces ​$50 comma 000 at the end of 3.5 years. Payments are made at the end of each period."

Answer 1

Answer:

Quarterly deposit= $3,182.78

Explanation:

Giving the following information:

A sinking fund earns 7​% compounded quarterly and produces ​$50,000 at the end of 3.5 years.

We need to find the quarterly deposit made at the end of each period.

First, we need to calculate the quarterly interest rate:

Interest rate= 0.07/4= 0.0175

To calculate the deposit, we need to use the following formula:

FV= {A*[(1+i)^n-1]}/i

A= quarterly deposit

Isolating A:

A= (FV*i)/{[(1+i)^n]-1}

n= 3.5*4= 14

FV= 50,000

i= 0.0175

A= (50,000*0.0175)/ [(1.0175^14)-1]= $3,182.78