Craig's Car Wash Inc. is considering a project that has the following cash flow and WACC data. What is the project's discounted payback? WACC: 10.00%
Year : Cash flows
0 : -$900
1 : $500
2 : $500
3 : $500

Discounted payback period= 2 years 1 month

Explanation:

The discounted payback period is the estimated length of time in years it takes  the present value of net cash inflow from a project to equate the net cash the initial cost  

To work out the discounted payback period, we will compute present value of the cash inflow and then determine how long it will take for the sum to be equal to the initial cost. This is done as follows:

Year          Cash flow    DF             Present value                

0              900    ×          1        =     900                

1               500     ×      1.1^(-1)   =     454.55

2             500     ×      1.1^(-2)    =    413.22

2             500     ×      1.1^(-3)   =      375.66

Total PV for 2 years = 454.55  +  413.22 = 867.77

Balance of cash flow remaining to equal 900 = 900 -867.77  = 32.23

Discounted payback period = 32.23 /375.66 × 12 months

                                               = 2 years 1 month

Discounted payback period= 2 years 1 month

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