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quester [9]
3 years ago
6

"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."
Business
1 answer:
Elodia [21]3 years ago
3 0

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.

<u>First, we need to calculate the quarterly interest rate:</u>

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

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