Question

13. The payback period Aa Aa The payback method helps firms establish and identify a maximum acceptable payback period that helps in their capital budgeting decisions Consider the case of Cold Goose Metal Works Inc.: Cold Goose Metal Works Inc. is a small firm, and several of its managers are worried about how soon the firm will be able to recover its initial investment from Project Beta's expected future cash flows. To answer this question, Cold Goose's CFO has asked that you compute the project's payback period using the following expected net cash flows and assuming that the cash flows are received evenly throughout each year. Complete the following table and compute the project's conventional payback period. For full credit, complete the entire table Year Year 1 Year 2 Year 3 Expected cash flow Cumulative cash flow -5,000,000 $2,000,000 $4,250,000 $1,750,000 Conventional payback period: The conventional payback period ignores the time value of money, and this concerns Cold Goose's CFO. He has now asked you to compute Beta's discounted payback period, assuming the company has a 8% cost of capital. Complete the following table and perform any necessary calculations. Round the discounted cash flow values to the nearest whole dollar, and the discounted payback period to the nearest two decimal places. For full credit, complete the entire table Year Year 1 Year 2 Year 3 Cash flow Discounted cash flow Cumulative discounted cash flow -5,000,000 $2,000,000 $4,250,000 $1,750,000 Discounted payback period:

Answer 1

0 1 2 year cash flows $5,000,000.00 $2,000,000.00 $4,250,000.00 $1,750,000.00 cumulative cash flows-$5,000,000.00 -$3,000,000.00 $1,250,000.00 $3,000,000.00 payback period 1.71 years 1+3000000/4250000)] 0 1 2 $5,000,000.00 $2,000,000.00 $4,250,000.00 $1,750,000.00 0.85733882 0.793832241 $5,000,000.00 $1,851,851.85 $3,643,689.99 $1,389,206.42 cumulative cash flows-$5,000,000.00 -$3,148,148.15 $495,541.84 $1,884,748.26 year cash flows pv@8% present value 1 0.925925926 discounted payback period Discounted payback period fail to recognise 1.86 years 1+(3148148.15/3643689.99 discounted cash flows beyond discounted payback $1,884,748 [ 3643689.99+1389206.42-3148148.15 ]