Question

Using the following to answer question 1(a) and 1(b) 1(a) What is PV in year 2? With interest rate 7%, calculate the PV of following cash flows. Year Payment PV 1,000 1,000 1,000 1,000 1,000 2 4
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Answer #1

Present Value (PV) of a cash flow is the discounted value of cash flow with required rate of return(interest rate)

PV= (1+i)

where,

C = cash flow of period

i = interest rate

n = period

Please refer below spreadsheet for calculation of Present value of cash flow at 7% interest rate.

G16 | PAYMENT | PVF(7%) | Present Value (PV 934.58 873.44 816.30 762.90 712.99 YEAR 4 1,000 1,000 1,000 1,000 1,000 0.9346 0.8734 0.8163 0.7629 0.7130 2 4 Total PV of cash flow 4,100.20

Formula reference -

G16 PVF(7% 1/(1+0.07)MB4 1/(1+0.07)MB5 1/(1+0.07)AB6 1/(1+0.07AB7 1/(1+0.07)B8 YEAR PAYMENT Present Value (PV C4 D4 C5*D5 C6 D6 4 1000 1000 1000 1000 1000 4 -C8 D8 Total PV of cash flow -SUM(E4:E8) 10

Thus, PV of year 2 cash flow is 873.44.

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