Question

In: Finance

Siblene Penn is considering a project that has the following cash flow data. What is the...

Siblene Penn is considering a project that has the following cash flow data. What is the discounted payback using a 11.2% cost of capital?

Year 0 1 2 3 4 5

Cash flows -$6,750 $2,000 $2,025 $2,050 $2,075 $2,100

Solutions

Expert Solution

Discounted Payback period= A+(B/C)
Where,
A=last period number with negative cumulative present value of cashflows
B=absolute value of cumulative present value of net cashflow at the end of period A
C=total present value of cash inflow during the period following period A
Year Cashflow Discount [email protected]% Present value Cumulative present value
0                   -6,750.00                                       1.00              -6,750.00                                 -6,750.00
1                    2,000.00                                       0.90                1,798.56                                 -4,951.44
2                    2,025.00                                       0.81                1,637.63                                 -3,313.81
3                    2,050.00                                       0.73                1,490.87                                 -1,822.94
4                    2,075.00                                       0.65                1,357.06                                    -465.88
5                    2,100.00                                       0.59                1,235.08                                     769.20
Discounted Payback period= 4+(465.88/1235.08)
                           4.38 years

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