Question

In: Finance

​(Present value of an uneven stream of payments​) You are given three investment alternatives to analyze....

​(Present

value of an uneven stream of

payments​)

You are given three investment alternatives to analyze. The cash flows from these three investments are as​ follows:

Investment

End of Year

    A

    B

    C

1

​$

1 comma 0001,000  

​$

3 comma 0003,000

​$

6 comma 0006,000  

2

  

2 comma 0002,000  

3 comma 0003,000

6 comma 0006,000  

3

  

3 comma 0003,000  

3 comma 0003,000

( 6 comma 000 )(6,000)

4

  

( 4 comma 000 )(4,000)

3 comma 0003,000

( 6 comma 000 )(6,000)

5

  

4 comma 0004,000  

6 comma 0006,000

  

16 comma 00016,000  

What is the present value of each of these three investments if the appropriate discount rate is

99

​percent?

a.  What is the present value of investment A at an annual discount rate of

99

​percent?

Solutions

Expert Solution

Project A

Net present value can also be solved using a financial calculator. The steps to solve on the financial calculator:

  • Press the CF button.
  • CF0=0. Since there is no initial cash flow for this question.
  • Cash flow for each year should be entered.
  • Press Enter and down arrow after inputting each cash flow.
  • After entering the last cash flow cash flow, press the NPV button and enter the discount rate.
  • Press enter after that. Press the down arrow and CPT buttons to get the net present value.  

Net present value at 9% discount rate is $4,683.37.

Project B

Net present value can also be solved using a financial calculator. The steps to solve on the financial calculator:

  • Press the CF button.
  • CF0=0. Since there is no initial cash flow for this question.
  • Cash flow for each year should be entered.
  • Press Enter and down arrow after inputting each cash flow.
  • After entering the last cash flow cash flow, press the NPV button and enter the discount rate.
  • Press enter after that. Press the down arrow and CPT buttons to get the net present value.  

Net present value at 9% discount rate is $13,618.75.

Project C

Net present value can also be solved using a financial calculator. The steps to solve on the financial calculator:

  • Press the CF button.
  • CF0=0. Since there is no initial cash flow for this question.
  • Cash flow for each year should be entered.
  • Press Enter and down arrow after inputting each cash flow.
  • After entering the last cash flow cash flow, press the NPV button and enter the discount rate.
  • Press enter after that. Press the down arrow and CPT buttons to get the net present value.  

Net present value at 9% discount rate is $12,069.92.

In case of any query, kindly comment on the solution.


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