Question

In: Finance

1. Consider the Following 10-year project: Year Cash Flow 0 -30000 1 2500 2 5000 3...

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:

  1. What is the Payback Period for the project?
  2. What is the Discounted Payback Period for the project at 12% required rate of return?
  3. What is the NPV of the project if the required rate of return is 12%
  4. What is the PI of the project?
  5. What is the IRR of the project?

Solutions

Expert Solution

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


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