Question

In: Finance

Bellinger Industries is considering two projects for inclusion in its capital budget, and you have been...

Bellinger Industries is considering two projects for inclusion in its capital budget, and you have been asked to do the analysis. Both projects' after-tax cash flows are shown on the time line below. Depreciation, salvage values, net operating working capital requirements, and tax effects are all included in these cash flows. Both projects have 4-year lives, and they have risk characteristics similar to the firm's average project. Bellinger's WACC is 11%.

0 1 2 3 4
Project A -1,100 590 360 220 280
Project B -1,100 230 300 360 700

What is Project Delta's IRR? Do not round intermediate calculations. Round your answer to two decimal places.

%

Solutions

Expert Solution

IRR = LOWER RATE + {NPV(L) / NPV(L)- NPV(H)} * (HIGHER RATE - LOWER RATE)

Project A

Let us assume two rates be 14% and 15%

NPV @ 14%

Year Cash flows PVF @ 14% P.V.
0 -1100 1 (1,100.00)
1 590 0.87719298         517.54
2 360 0.76946753         277.01
3 220 0.67497152         148.49
4 280 0.59208028         165.78
NPV              8.83

NPV @15%

Year Cash flows PVF @ 15% P.V.
0 -1100 1 (1,100.00)
1 590 0.86956522         513.04
2 360 0.75614367         272.21
3 220 0.65751623         144.65
4 280 0.57175325         160.09
NPV         (10.00)

IRR = 14%+ {8.83 / 8.83-(-10)} (15- 14) = 14.47%

Project B

Let us assume two rte here be 13% and 14%

NPV @ 13%

Year Cash flows PVF @ 13% P.V.
0 -1100 1 (1,100.00)
1 230 0.88495575         203.54
2 300 0.78314668         234.94
3 360 0.69305016         249.50
4 700 0.61331873         429.32
NPV           17.30

NPV @14%

Year Cash flows PVF @ 14% P.V.
0 -1100 1 (1,100.00)
1 230 0.87719298         201.75
2 300 0.76946753         230.84
3 360 0.67497152         242.99
4 700 0.59208028         414.46
NPV           (9.96)

IRR = 13%+ {17.3/17.3-(-9.96)} *(14- 13) = 13.63%


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