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Homework answers / question archive / 1) Based on the following cash flow diagram, calculate the value of X with the interest rate of 12%

1) Based on the following cash flow diagram, calculate the value of X with the interest rate of 12%

Economics

1) Based on the following cash flow diagram, calculate the value of X with the interest rate of 12%. X = ? ? 400$ 200$ 500$ 1000$

2)The demand curve for Ji single firm's output in a perfectly competitive market is perfectly elastic O perfectly inelastic downward sloping O greater than the marginal revenue O the same as the market demand

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1)

Depicting the graph in a tabular form:

Year Cash flow PV Factor (n, 12%) Discounted CF
n CF P CF * P
1 -500 0.893 -446.5
3 -1000 0.712 -712
4 400 0.636 254.4
6 200 0.507 101.4
7 X 0.452 0.452X
    Total 0

We get the below equation from the Discounted CF column:

-446.5 - 712 + 254.4 + 101.4 + 0.452 X = 0

=> 0.452 X = 802.7

=> X = $ 1775.88 (This value makes the NPV zero at the MARR of 12%)

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