Answer:
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
