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Which of the following equations can be used to find the internal rate of return

ID: 2488419 • Letter: W

Question

Which of the following equations can be used to find the internal rate of return (i) for a project that has the following cash flow? -4000 + 150(P/G, i%, 4) + 850(P/A, i%, 4) + 400(P/A, i%, 4)(P/F, i%, 4} = 0 -4000 + 400(P/A, i%, 8) + 600(P/A, i%, 5) - 150(P/G, i%, 4) = 0 -4000 + 1000(P/A, i%, 8) - 150(P/G, i%, 8) + 150(P/G, i%, 4)(P/F, i%, 4) = 0 None of the above Three estimates have been developed for a project with a 10-year life. Use an interest rate of 12% to determine the project's expected present worth. The value is closest to which of the following? $17.274 $20.350 $23,872 $27,844

Explanation / Answer

1.2 Answer is d) None of the above.

Explanation :- At IRR NPV is Zero.

So NPV = Present value of cash inflow - Present value of cash outflow

corrrect fomulla is as follows.

0 =$1000/(1+R)+$850/(1+R)^2+$700/(1+R)^3+$550/(1+R)^4+$400/(1+R)^5+$400/(1+R)^6+$400/(1+R)^7+$400/(1+R)^8 -$4000

1.3

Projects Expected Present Worth is closest to (d) $27,844

$ S-1 S-2 S-3 Total Annual Benefit              8,000              7,500              6,000 PVIFA           5.6502           5.6502           5.6502 present Value (A)           45,202           42,377           33,901 ADD Salvage Value              4,500              3,500                     -   PVIFA           0.3220           0.3220           0.3220 present Value (B)              1,449              1,127                     -   Total present value (A+B)           46,650           43,503           33,901 Initia cost         (10,000)         (15,000)         (17,500) NPV           36,650           28,503           16,401          81,555
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