In: Finance
1.
Consider the Following 10-year project: |
||
Year |
Cash Flow |
|
0 |
-30000 |
|
1 |
2500 |
|
2 |
5000 |
|
3 |
6750 |
|
4 |
7000 |
|
5 |
7250 |
|
6 |
6000 |
|
7 |
6250 |
|
8 |
8000 |
|
9 |
3750 |
|
10 |
2000 |
Complete the following questions on excel:
Project | |||||||||||
Year | Cash flow stream | Cumulative cash flow | |||||||||
0 | -30000 | -30000 | |||||||||
1 | 2500 | -27500 | |||||||||
2 | 50000 | 22500 | |||||||||
3 | 6750 | 29250 | |||||||||
4 | 7000 | 36250 | |||||||||
5 | 7250 | 43500 | |||||||||
6 | 6000 | 49500 | |||||||||
7 | 6250 | 55750 | |||||||||
8 | 8000 | 63750 | |||||||||
9 | 3750 | 67500 | |||||||||
10 | 2000 | 69500 | |||||||||
Payback period is the time by which undiscounted cashflow cover the intial investment outlay | |||||||||||
this is happening between year 1 and 2 | |||||||||||
therefore by interpolation payback period = 1 + (0-(-27500))/(22500-(-27500)) | |||||||||||
1.55 Years | |||||||||||
Project | Discount rate= | 0.12 | |||||||||
Year | Cash flow stream | Cumulative cash flow | Discounting factor | Discounted CF | Cumulative cash flow | Cumulative discounted CF | |||||
0 | -30000 | -30000 | 1 | -30000 | -30000 | -30000 | |||||
1 | 2500 | -27500 | 1.12 | 2232.143 | -27500 | -27767.9 | |||||
2 | 50000 | 22500 | 1.2544 | 39859.69 | 22500 | 12091.84 | |||||
3 | 6750 | 29250 | 1.404928 | 4804.517 | 29250 | 16896.35 | |||||
4 | 7000 | 36250 | 1.573519 | 4448.627 | 36250 | 21344.98 | |||||
5 | 7250 | 43500 | 1.762342 | 4113.845 | 43500 | 25458.82 | |||||
6 | 600000.00% | 49500 | 1.973823 | 3039.787 | 49500 | 28498.61 | |||||
7 | 6250 | 55750 | 2.210681 | 2827.183 | 55750 | 31325.79 | |||||
8 | 8000 | 63750 | 2.475963 | 3231.066 | 63750 | 34556.86 | |||||
9 | 3750 | 67500 | 2.773079 | 1352.288 | 67500 | 35909.15 | |||||
10 | 2000 | 69500 | 3.105848 | 643.9465 | 69500 | 36553.09 | |||||
Discounted payback period is the time by which discounted cashflow cover the intial investment outlay | |||||||||||
this is happening between year 1 and 2 | |||||||||||
therefore by interpolation payback period = 1 + (0-(-27767.86))/(12091.84-(-27767.86)) | |||||||||||
1.7 Years | |||||||||||
Where | |||||||||||
Discounting factor =(1 + discount rate)^(corresponding year) | |||||||||||
Discounted Cashflow=Cash flow stream/discounting factor | |||||||||||