Question

In: Finance

Find the discounted payback period. YEAR PROJECT A PROJECT B PROJECT C PROJECT D 0 (10,000)...

  1. Find the discounted payback period.

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

Solutions

Expert Solution

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.)

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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


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