In: Finance
YEAR |
PROJECT A |
PROJECT B |
PROJECT C |
PROJECT D |
0 |
(10,000) |
(15,000) |
(20,000) |
(30,000) |
1 |
5,000 |
5,000 |
10,000 |
0 |
2 |
5000 |
5,000 |
10,000 |
0 |
3 |
20,000 |
5,000 |
4,000 |
100,000 |
4 |
1,000 |
10,000 |
2,000 |
120,000 |
5 |
- |
5,000 |
- |
60,000 |
answer : A(3 years) B(4years) C(4 years) D(3 years)
Pls show me the working on how to get the discounted payback period. Pls do not show the working in excel, pls do it manually and attached the formula and also pls explain how you get the answers. Thank you
YEAR |
Value of Project A |
Cumulative value of Project A |
Value of Project B |
Cumulative value of Project B |
Value of Project C |
Cumulative value of Project C |
Value of Project D |
Cumulative value of Project D |
0 | -10000 | -10000 | -15000 | -15000 | -20000 | -20000 | -30000 | -30000 |
1 | 5000 | -10000+5000= -5000 | 5000 | -15000+5000 = -10000 | 10000 | -20000+10000 = -10000 | 0 | -30000+0 = -30000 |
2 | 5000 | -5000+5000 = 0 | 5000 | -10000+5000 = -5000 | 10000 | -10000+10000 = 0 | 0 | -30000 + 0 = -30000 |
3 | 20000 | 0+ 20000 = 20000 | 5000 | -5000+5000 = 0 | 4000 | 0+4000 = 4000 | 100000 | -30000 + 100000 = 70000 |
4 | 1000 | 20000+1000 = 21000 | 10000 | 0+10000 = 10000 | 2000 | 4000 + 2000 = 6000 | 120000 | 70000 + 120000 = 190000 |
5 | 0 | 21000+0 = 21000 | 5000 | 10000+5000 = 15000 | 0 | 6000 + 0 = 6000 | 60000 | 190000 + 60000 = 250000 |
Discounted payback period is a variation of payback period which uses discounted cash flows while calculating the time an investment takes to pay back its initial cash outflow.
Note: As the interest rate is not mentioned in the question, Discounted payback period is equal to Payback period.
(i.e. discounted payback period with 0% interest rate.)
----------------------------------------------------------------------------------------------------------------------------------------------------------------------
----------------------------------------------------------------------------------------------------------------------------------------------------------------------
In Layman term, discounted payback period is that period from which the project starts earning profit. (ie.Cumulative Value > 0)
Therefore, Discounted payback period for following project is:
A = 3 Years
B = 4 Years
C = 3 Years
D = 3 Years