ch11solutions

ch11solutions - SolutionstoEndofChapterProblems 111

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Solutions to End-of-Chapter Problems 11-1 Financial calculator solution:  Input CF 0  = -52125, CF 1-8  = 12000, I/YR = 12, and then solve for  NPV = $7,486.68. 11-2 Financial calculator solution:  Input CF 0  = -52125, CF 1-8  = 12000, and then solve for IRR = 16%. 11-3 MIRR:  PV costs = $52,125. FV inflows: PV FV 0 1 2 3 4 5 6 7 8 | | | | | | | | | 12,000 12,000 12,000 12,000 12,000 12,000 12,000 12,000 13,440 15,053 16,859 18,882 21,148 23,686   26,528 52,125 MIRR = 13.89% 147,596 Financial calculator solution:  Obtain the FVA by inputting N = 8, I/YR = 12, PV = 0, PMT =  12000, and then solve for FV = $147,596.  The MIRR can be obtained by inputting N = 8, PV =  -52125, PMT = 0, FV = 147596, and then solving for I/YR = 13.89%. 11-4 Since the cash flows are a constant $12,000, calculate the payback period as: $52,125/$12,000 =  4.3438, so the payback is about 4 years. 11-5 Project K’s discounted payback period is calculated as follows: Annual Discounted @12% Period Cash Flows      Cash Flows       Cumulative        0 ($52,125) ($52,125.00)  ($52,125.00) 1 12,000 10,714.29  (41,410.71) 2 12,000 9,566.33  (31,844.38) 3 12,000 8,541.36  (23,303.02) 4 12,000 7,626.22  (15,676.80) 12% ×  1.12 ×  (1.12) 2 ×  (1.12) 3 ×  (1.12) 4 ×  (1.12) 5 ×  (1.12) 6 ×  (1.12) 7
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5 12,000 6,809.12 (8,867.68) 6 12,000 6,079.57  (2,788.11) 7 12,000 5,428.19 2,640.08 8 12,000 4,846.60 7,486.68 The discounted payback period is 6 +  19 . 8 $5,42 11 $2,788.  years, or 6.51 years. 11-6 a. Project A:  Using a financial calculator, enter the following: CF 0  = -25, CF 1  = 5, CF 2  = 10, CF 3  = 17, I/YR = 5; NPV = $3.52. Change I/YR = 5 to I/YR = 10; NPV = $0.58. Change I/YR = 10 to I/YR = 15; NPV = -$1.91. Project B:  Using a financial calculator, enter the following: CF 0  = -20, CF 1  = 10, CF 2  = 9, CF 3  = 6, I/YR = 5; NPV = $2.87. Change I/YR = 5 to I/YR = 10; NPV = $1.04. Change I/YR = 10 to I/YR = 15; NPV = -$0.55. b. Using the data for Project A, enter the cash flows into a financial calculator and solve for IRR = 11.10%. The IRR is independent of the WACC, so it doesn’t change when the WACC  changes. Using the data for Project B, enter the cash flows into a financial calculator and solve for IRR = 13.18%. Again, the IRR is independent of the WACC, so it doesn’t change when the WACC  changes. c. At a WACC = 5%, NPV > NPV B  so choose Project A. At a WACC = 10%, NPV
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ch11solutions - SolutionstoEndofChapterProblems 111

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