Question

A person buys a piece of property for 100,000 pesos down payment and ten deferred semi-annual...

A person buys a piece of property for 100,000 pesos down payment and ten deferred semi-annual payments of 8,000 pesos each starting three years from now. What is the present value of the investment if the rate of interest is 12% compounded semi-annually?

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Answer #1

Present Value of Investment is 158,880.70 pesos

Present value of investment = Down Payment + Present Value of deferred payment
= 1,00,000.00 + 58,880.70
= 1,58,880.70 pesos
Working:
Present Value of deferred payment =-pv(rate,nper,pmt,fv)
= 58,880.70 pesos
Where,
rate = 12%/2 = 0.06
nper = 10
pmt = 8,000 pesos
fv = 0

.

Note:

As per discounted cash flow, present value of investment is the sum of present value of cash flows.

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