Question
Chapter 5

Question 6 (of 7) 6. value: 2.00 points Consider the following cash flows of two mutually exclusive projects for Tokyo Rubber the discount rate for both projects is 11 percent. 0 -$1.740,000 S70.000 395,000 640,000 754,000 398,000 1,104,000 908,000 a. What is the payback peniod for both projects? (0o not round Intermediate calculationa. Round your answers to 2 decimal places, e.g, 32.16.) Payback perlod Dry Prepeg Solvent Prepeg years years b. What is the NPV for both projects? (Do not round intermediate calculations. Round your answers to 2 decimal places, e.g., 32.16.) NPV Dry Prepeg Solvent Prepeg c. What is the IRR for both projects? (Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16) IRR Dry Prepeg Solvent Prepeg d. Calculate the incremental IRR for the cash flows. (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g.. 32.16.) Incremental IRR
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Answer #1

(a) Payback Period where after tax cash flows are equal each year = Initial Investment After-Tar AnnualCash In flows

But where after tax cash inflows are unequal, the cumulative after tax cash inflows are calculated and results are summed until the total is equal to the initial cash investment. Hence, according to question,

Dry Prepeg Solvent Prepeg Initial Investment 17,40,000.00 $ 7,70,000.00 1 yar (908000-(1740000-1 104000) 1 640000 (770000 395000)) 640000 1 year + Payback Period 908000 1 +0.3) years (1+ 0.414) years 1.414 vears

(b) NPV of both the projects

COSTOF CAPITAL 11% CASH INFLOWS CASH OUTFLOWS PRESENT VALUE OF CASH FLOWS Solvent Solvent Dry Prepeg P Dry Prepeg Solvent Prepeg Dry Prepeg O $ Dry Prepeg Solvent Prepeg | $17,40,000.00 | $ 7,70,000.00 | S-17,40,000.00 | $一7,70,000.00 -$9,94,594.59 3,55,855.86 -$ 7,36,953.17 $ 5,19,438.36 $ 5,51,318.30 2,91,014.17 $27,66,000.00「$ 14,33,000.00 | $ 17,40,000.00 | $ 770,000.00 | $ 5,42,866.07 | $ 3,96,308.38 Prepeg NPV $5,42,866.07 $3,96,308.38 s 11,04,000.00 | $ 3,95,000.00 | $ 2 $ 9,08,000.00 $ 6,40,000.00 $ 3 $ 7,54,000.00 3,98,000.00 $ TOTAL Net present value(NPV) = Present Value of cash inflows-Present value of cash outflows(c) Dry Prepeg PRESENT VALUE OF CASH FLOWS YEAR CASH INFLOWS CASH OUTFLOWS At 28% At 31% At 28% At 31% 17,40,000.00 S-17,40,000.00S 17,40,000.00 8,62,500.008,42,748.09 -$5,54,199.22$5,29,106.70 S 3,59,535.22 3,35,395.68 17,40,000.00 36,234.44-32,749.54 NPV 36,234.44 32,749.54 11,04,000.00 $ 9,08,000.00 $ 7,54,000.00 S 27,66,000.00 $ TOTAL Interpolating we get, IRR = 36, 234.44 cet (36234.44+32749.54) * 3percent

= 29.58 %

Solvent Prepeg PRESENT VALUE OF CASH FLOWS YEAR CASH INFLOWS CASH OUTFLOWS At 37% At 40% At 28% $ 14,091.29 -16,282.80 At 31% -$7,70,000.00 -7,70,000.00-7,70,000.00 $ 2,88,321.17$ 2,82,142.86 3,40,987.80 3,26,530.61 $ 1,54,782.33$1,45,043.73 $ 14,33,000.00 7,70,000.00 14,091.29$16,282.80 NPV 3,95,000.00 2 6,40,000.00 3 3,98,000.00$ 1 $ TOTALInterpolating we get, IRR = 14091.29 37percent + *3percent (14091.2916282.80)

= 38.39 %

(d) INCREMENTAL IRR PRESENT VALUE OF CASH FLOWS YEAR CASH INFLOWS HOUTFLOWS At 20% At 22% At 28% At 31% $9,70,000.00 $-9,70,000.00 9,70,000.00 $ 5,90,833.33 5,81,147.54 $ 1,86,111.11 1,80,059.12 2,06,018.52 1,96,051.65 13,33,000.00 $9,70,000.0012,962.96-12,741.68 0 $ NPV 12,962.96 -12,741.68 7,09,000.00 $ 2,68,000.00 $ 3,56,000.00 $ TOTAL Interpolating we get, IRR = 12962.96 20percent+ * 2percent (12962.96+12741.68)

= 21%

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