A Firm needs to replace most of its machinery in five years at a cost of $500,000. The company wishes to create a sinking fund to have this money available in five years. How much should the quarterly deposits be if the fund earns 8%

The quarterly deposit required is $ 20,578.36

Explanation:

in order to determine the needed quarterly deposit, we make use of pmt formula in excel, which is given as :

=-pmt(rate,nper,-pv,fv)

rate is the rate of return on the deposit at 8% per year but 2% per quarter(8%/4)

nper is number of deposits required in the fund,which number of years ,5 multiplied by 4(4 deposits per year)

pv is the present of the value of the future amount which is zero as it is not required.

Fv is the amount expected in 5 years which is $500,000

=-pmt(2%,20,0,500000)

pmt= $20,578.36

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