In: Accounting
Drake Corporation is reviewing an investment proposal. The initial cost is $105,700. Estimates of the book value of the investment at the end of each year, the net cash flows for each year, and the net income for each year are presented in the schedule below. All cash flows are assumed to take place at the end of the year. The salvage value of the investment at the end of each year is assumed to equal its book value. There would be no salvage value at the end of the investment’s life. Investment Proposal Year Book Value Annual Cash Flows Annual Net Income 1 $71,000 $44,600 $9,900 2 41,100 39,500 9,600 3 21,300 36,000 16,200 4 8,500 29,400 16,600 5 0 24,905 16,405 Drake Corporation uses an 11% target rate of return for new investment proposals. Click here to view the factor table. (a) What is the cash payback period for this proposal? (Round answer to 2 decimal places, e.g. 10.50.) Cash payback period years (b) What is the annual rate of return for the investment? (Round answer to 2 decimal places, e.g. 10.50%.) Annual rate of return for the investment % (c) What is the net present value of the investment? (If the net present value is negative, use either a negative sign preceding the number e.g. -45 or parentheses eg (45). Round answer to 0 decimal places, e.g. 125. For calculation purposes, use 5 decimal places as displayed in the factor table provided.) Net present value $
Solution a:
Computation of cumulative cash flows | ||
Year | Cash Flows | Cumulative cash flows |
1 | $44,600.00 | $44,600.00 |
2 | $39,500.00 | $84,100.00 |
3 | $36,000.00 | $120,100.00 |
4 | $29,400.00 | $149,500.00 |
5 | $24,905.00 | $174,405.00 |
Payback period = 2 years + ($105,700 - $84,100)/$36,000
= 2.60 years
Solution b:
Annual rate of return = Average annual income / Average investment
Average annual income = ($9,900 + $9,600 + $16,200 + $16,600 + $16,405)/5 = $13,741
Average investment = (Initial investment + Salvage value)/2 = ($105,700 + 0) /2 = $52,850
Annual rate of return = $13,741 / $52,850 = 26%
Solution c:
Computation of NPV - Drake Company | ||||
Particulars | Amount | Period | PV Factor | Present Value |
Cash Outflows: | ||||
Initial investment | $105,700.00 | 0 | 1 | $105,700 |
Present Value of Cash Outflows (A) | $105,700 | |||
Cash Inflows: | ||||
Year 1 | $44,600.00 | 1 | 0.90090 | $40,180 |
Year 2 | $39,500.00 | 2 | 0.81162 | $32,059 |
Year 3 | $36,000.00 | 3 | 0.73119 | $26,323 |
Year 4 | $29,400.00 | 4 | 0.65873 | $19,367 |
Year 5 | $24,905.00 | 5 | 0.59345 | $14,780 |
Present Value of Cash Inflows (B) | $132,709 | |||
Net Present Value (B-A) | $27,009 |