Question

In: Finance

Find the discounted payback period for the following project. THe discount rate is 7%. Initial Outlay...

Find the discounted payback period for the following project. THe discount rate is 7%.

Initial Outlay - $8,273

Year 1 - $3.774

Year 2 - $3,300

Year 3 - $5,328

Year 4 - $7,303

Round the answer to two decimal places. Show your work.

Solutions

Expert Solution

Calculation of payback period
Year Cash flow Cumulative Cash flow
0 -$8,273.00 -$8,273.00
1 $3,774.00 -$4,499.00
2 $3,300.00 -$1,199.00
3 $5,328.00 $4,129.00
4 $7,303.00 $11,432.00
Payback period = 2 years + [$1199/$5328] = 2.23 years
Calculation of discounted payback period
Year Cash flow Discount factor @ 7% Present Values Cumulative Present values
0 -$8,273.00              1.00000 -$8,273 -$8,273
1 $3,774.00              0.93458 $3,527 -$4,746
2 $3,300.00              0.87344 $2,882 -$1,864
3 $5,328.00              0.81630 $4,349 $2,486
4 $7,303.00              0.76290 $5,571 $8,057
Discounted Payback period = 2 years + [$1864/$4349] = 2.43 years

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