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All the firm’s cash inflows have already been adjusted for taxes. | ||||||||
a. | Evaluate the projects using risk-adjusted discount rates. | |||||||
b. | Discuss your findings in part a, and recommend the preferred project. | |||||||
Solution | ||||||||
a. | Evaluate the projects using risk-adjusted discount rates. | |||||||
Project A | ||||||||
Initial investment | -$ 20,000 | |||||||
Project life (years) | 5 | |||||||
Annual cash inflow | $ 7,000 | |||||||
Required return | 8% | |||||||
PV of cash inflows | ||||||||
NPV | ||||||||
Project B | ||||||||
Initial investment | -$ 30,000 | |||||||
Project life (years) | 5 | |||||||
Annual cash inflow | $ 10,000 | |||||||
Required return | 14% | |||||||
PV of cash inflows | ||||||||
NPV |
Answer-
a) Assuming the solution row is from row no. 1
Project A
Value of PV of cash inflows= $27,948.97. Excel formula is" =PV(D9,D7,-D8,0,0)" Remove inverted commas in excel
Value of NPV = $7948.97. Excel formula is "=D10+D6" Remove inverted commas in excel.
Project B
Value of PV of cash inflows= $34,330.81. Excel formula is "=PV(D17,D15,-D16,0,0)" Remove inverted commas in Excel
Value of NPV = $4,330.81. Excel formula is "=D18+D14" Remove inverted commas in Excel
b) As we see the net present value of project A is greater than Project B hence project A is recommended. Although Project has greater cash inflows but it also demands greater investment and higher rate of return. Thus the NPV is lower for project B.
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