Question

In: Finance

A project has an initial cost of $60,000, expected net cash inflows of $10,000 per year...

A project has an initial cost of $60,000, expected net cash inflows of $10,000 per year for 8 years, and a cost of capital of 12%. Show your work.

What is the project’s payback period?

What is the project’s discounted payback period?

Solutions

Expert Solution

Year Cash Flow Cumulative Cash Flow
0 -60000 -60000
1 10000 -50000
2 10000 -40000
3 10000 -30000
4 10000 -20000
5 10000 -10000
6 10000 0
7 10000 10000
8 10000 20000
TOTAL 20000
Payback Period = 6.00 years
Year Project Cash Flows (i) DF@ 12% DF@ 12% (ii) PV of Project A ( (i) * (ii) ) Cumulative Cash Flow
0 -60000 1 1                          (60,000.00)             (60,000.00)
1 10000 1/((1+12%)^1) 0.893                              8,928.57             (51,071.43)
2 10000 1/((1+12%)^2) 0.797                              7,971.94             (43,099.49)
3 10000 1/((1+12%)^3) 0.712                              7,117.80             (35,981.69)
4 10000 1/((1+12%)^4) 0.636                              6,355.18             (29,626.51)
5 10000 1/((1+12%)^5) 0.567                              5,674.27             (23,952.24)
6 10000 1/((1+12%)^3) 0.507                              5,066.31             (18,885.93)
7 10000 1/((1+12%)^4) 0.452                              4,523.49             (14,362.43)
8 10000 1/((1+12%)^5) 0.404                              4,038.83             (10,323.60)
NPV                          (10,323.60)
Discounted Payback Period = 0 Since the amount cannot be earned during the lifetime of the
project under Discounted Payback period.

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