The Yurdone Corporation wants to set up a private cemetery business. According t
ID: 2737404 • Letter: T
Question
The Yurdone Corporation wants to set up a private cemetery business. According to the CFO, Barry M. Deep, business is “looking up.” As a result, the cemetery project will provide a net cash inflow of $118,000 for the firm during the first year, and the cash flows are projected to grow at a rate of 6.1 percent per year forever. The project requires an initial investment of $1,410,000. Required: (a) If Yurdone requires a return of 15 percent on such undertakings, what is the NPV of the project? (Do not round intermediate calculations. Round your answer to 2 decimal places (e.g., 32.16).) NPV $ (b) Should the cemetery business be started? (c) The company is somewhat unsure about the assumption of a growth rate of 6.1 percent its cash flows. At what constant growth rate would the company just break even if it still required a return of 15 percent on its investment? (Do not round intermediate calculations. Enter your answer as a percentage rounded to 2 decimal places (e.g., 32.16).) Minimum growth rate %
Explanation / Answer
Terminal value at year 1= 118000 (1+ .061)/(.15-.061)
= 118000* 1.061 / .089
= 1,406,719
Total cash flow = 1406,719+118000 = 1,524,719
Present value of cash flow =PVF@15%,1 *CF
= .869565 * 1524719= $1325842.70
NPV = 1325842.70 - 1410000 = -$84157.30.
No ,NPV is negative business should not be started .
2) At breakeven NPV =0,so Present value of cash flow =Initial investment = 1410000
Present value =(PVF@15%,1*CF) +(PVF@15%,1*Terminal value)
1410000 = (.869565 * 118000) +(.869565 *TV)
1410000 = 102608.6957 = .869565TV
TV =( 1410000-102608.6957) /.869565
= 1307391.304 / .869565
= 1,503,500
Terminal value = CF1(1+g)/(Rs-g)
1503500 = 118000(1+g) /(.15-g)
1503500 /118000 = (1+g)/ (.15-g)
12.741525 (.15-g) = 1+g
1.91123 - 12.741525g = 1+g
1.91123-1 = 12.741525g +g
.91123 = 13.741525g
g = .91123 /13.741525
= .06631 or 6.631% .
at growth = 6.631% ,company will have NPV =0
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