Question

Mustard's Inc. sold the rights to use one of its patented processes that will result in cash receipts of $2,500 at the end of each of the next four years and a lump sum receipt of $4,000 at the end of the fifth year. The total present value of these payments if interest is at 9% is:

Answer 1

Answer:

PV= $10,030.27

Explanation:

Giving the following information:

Cash flow= $2,500

Lump sum= $4,000

i= 9%

n= 5

First, we need to calculate the future value of the cash flows:

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

A= annual cash flow

FV= {2,500*[(1.09^4) - 1]} / 0.09

FV= 11,432.82

Now, the total future value:

FV= 11,432.82 + 4,000= 15,432.82

Finally, the present value:

PV= FV/(1+i)^n

PV= 15,432.82/1.09^5

PV= $10,030.27