The Hudson Corporation makes an investment of $28,050 that
provides the following cash flow:
Use Appendix B and Appendix D for an approximate answer but
calculate your final answer using the formula and financial
calculator methods.
Year | Cash Flow | ||
1 | $15,000 | ||
2 | 15,000 | ||
3 | 3,000 | ||
a. What is the net present value at a discount
rate of 4 percent? (Do not round intermediate calculations
and round your answer to 2 decimal places.)
b. What is the internal rate of return?
(Do not round intermediate calculations. Enter your answer
as a percent rounded to 2 decimal places.)
c. Would you make the same decision under both
parts a and b?
Yes | |
No |
a.Present value of inflows=cash inflow*Present value of discounting factor(rate%,time period)
=15000/1.04+15000/1.04^2+3000/1.04^3
=$30958.41
NPV=Present value of inflows-Present value of outflows
=$30958.41-$28050
=$2908.41(Approx).
b.Let irr be x%
At irr,present value of inflows=present value of outflows.
28050 =15000/1.0x+15000/1.0x^2+3000/1.0x^3
Hence x=irr=10.58%(Approx).
c.Hence since NPV is positive and irr is greater than discount rate;both the methods consider accepting the project.
Hence the correct option is 'Yes'.
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