Question

The conventional payback period ignores the time value of money, and this concerns Blue Hamster's CFO. He has now asked you to compute Delta'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 0 -5,500,000 Year 1 $2,200,000 Year 2 $4,675,000 Year 3 $1,925,000 Cash flow Discounted cash flow Cumulative discounted cash flow Discounted payback period: Which version of a project's payback period should the CFO use when evaluating Project Delta, given its theoretical superiority? The discounted payback period The regular payback period K One theoretical disadvantage of both payback methods-compared to the net present value method is that they fail to consider the value of the cash flows beyond the point in time equal to the payback period. How much value does the discounted payback period method fail to recognize due to this theoretical deficiency? 0 $3,565,164 $5,536,186 $1,528,127 O

Answer 1

year cash flows -$5,500,000.00 pv @ 8% Discounted cash flow -$5,500,000.00 cumulative discounted cash flows -$5,500,000.00 1 $2,200,000.00 0.925926 $2,037,037.04 $3,462,962.96 23 $4,675,000.00 $1,925,000.00 0.857339 0.793832 $4,008,058.98 $1,528,127.06 $545,096.02 $2,073,223.09 discounted payback period 1.86 years 1+(3462962.96/4008058.98) Discounted payback period fail to recognise: discounted cash flows beyond discounted payback $2,073,223 [4008058.98+1528127.06-3462962.96]