Pappy’s Potato has come up with a new product, the Potato Pet (they are freeze-d
ID: 2738934 • Letter: P
Question
Pappy’s Potato has come up with a new product, the Potato Pet (they are freeze-dried to last longer). Pappy’s paid $138,000 for a marketing survey to determine the viability of the product. It is felt that Potato Pet will generate sales of $593,000 per year. The fixed costs associated with this will be $197,000 per year, and variable costs will amount to 19 percent of sales. The equipment necessary for production of the Potato Pet will cost $656,000 and will be depreciated in a straight-line manner for the four years of the product life (as with all fads, it is felt the sales will end quickly). This is the only initial cost for the production. Pappy’s is in a 30 percent tax bracket and has a required return of 15 percent.
Calculate the payback period for this project. (Do not round intermediate calculations. Round your answer to 2 decimal places (e.g., 32.16).)
Calculate the NPV for this project. (Do not round intermediate calculations. Round your answer to 2 decimal places (e.g., 32.16).)
Calculate the IRR for this project. (Do not round intermediate calculations. Enter your answer as a percentage rounded to 2 decimal places (e.g., 32.16).)
Pappy’s Potato has come up with a new product, the Potato Pet (they are freeze-dried to last longer). Pappy’s paid $138,000 for a marketing survey to determine the viability of the product. It is felt that Potato Pet will generate sales of $593,000 per year. The fixed costs associated with this will be $197,000 per year, and variable costs will amount to 19 percent of sales. The equipment necessary for production of the Potato Pet will cost $656,000 and will be depreciated in a straight-line manner for the four years of the product life (as with all fads, it is felt the sales will end quickly). This is the only initial cost for the production. Pappy’s is in a 30 percent tax bracket and has a required return of 15 percent.
Explanation / Answer
Note: To avoid complications, the Present value factors have been rounded off to two decimal places.
1. Cash inflows from year 1 to 4 = [(Sales - Variable cost - FIxed cost - Depreciation) x (1-tax rate)] + Depreciation
= [(593000-112670-197000-164000) x (1-0.30)] + [656000/4]
= [119330 x 0.70] + 164000
= $247531
Present value of cash inflows = 247531 x Present value of an annuity @ 15% for 4 years
= 247531 x 2.855
= 706701.01
Payback period = 2 years + [(656000-495062) / (742593-495062)]
= 2.65 years
2. NPV = Present value of cash inflows - Initial investment
= 706701.01 - 656000
= $50701.01
3. NPV @ 20% = [247531 x 2.589] - 656000
= -$15142.24
IRR = Lower rate + [Lower rate NPV / (Lower rate NPV - Higher rate NPV)] x Difference in rates
= 15 + [50701.01 / (50701.01+15142.24)] x 5
= 18.85%
Year Cash inflows Cumulative cash inflows 1 247531 247531 2 247531 495062 3 247531 742593 4 247531 990124Related Questions
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