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
