A project has an initial cost of $60,000, expected net cash inflows of $14,000 per year for 7 years, and a cost of capital of 13%. What is the project's discounted payback period

Discounted payback period = 6.68 years

Explanation:

Year Cash inflow$   Discounted cash     Cumulative discounted

                                          inflow$                      cash inflow$

1          14,000                    12,389                            12,389

2         14,000                    10,964                             23,353

3         14,000                     9,703                              33,056  

4         14,000                     8,586                              41,643    

5         14,000                     7,599                              49,241    

6         14,000                      6,724                             55,966    

7         14,000                      5,951                              61,917

Discounted cash inflow is calculated by discounting cash inflow at 13%. For example, discounted cash-flow in year 1 = 14,000 / (1+13%)^1 = 12,389.

Similarly, discounted cash-flow in year 2 = 14,000 / (1+13%)^2 = 10,964. And so on.

Cumulative cash-flows are sum of all cashflows till that year. For example, year 2 cumulative cashflow = 12,389 + 10,964 = 23,353.

Similarly, year 3 cumulative cash-flow = 23,353 + 9,703 = 33,056.

This cumulative cash-flow crosses 60,000 in year 7, so discounted payback period = 6 + (60,000-55,966) / 5,951

Discounted payback period = 6.68 years

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