Discuss the payback method and what the payback periods of the old backhoes and new backhoes reveal about whether the company should purchase new backhoes or continue using the old backhoes. Calculate the profitability index for keeping the old backhoes and purchasing new backhoes. The following information is available to use in deciding whether to purchase the new backhoes or old backhoes.   Using the 8% Present Value of an Annuity of 1.   Old Backhoes   New Backhoes Purchase cost when new $90,000   $200,000 Salvage value now $42,000     Investment in major overhaul needed in next year $55,000     Salvage value in 8 years $15,000   $90,000 Remaining life 8 years   8 years Net cash flow generated each year $30,425   $43,900   Answer that Bartebly provided is down below. My Questions is: Can you display what Pv factor you used to get the a present value calculations. can you leave the the present value calculations to 6 digits.  My Question can you round the discount factor 8%.. For example. 0.9259... round it to 0.926.

FINANCIAL ACCOUNTING
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Chapter1: Financial Statements And Business Decisions
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D. Discuss the payback method and what the payback periods of the old backhoes and new backhoes reveal about whether the company should purchase new backhoes or continue using the old backhoes. Calculate the profitability index for keeping the old backhoes and purchasing new backhoes.

  • The following information is available to use in deciding whether to purchase the new backhoes or old backhoes.   Using the 8% Present Value of an Annuity of 1.
 

Old Backhoes

 

New Backhoes

Purchase cost when new

$90,000

 

$200,000

Salvage value now

$42,000

   

Investment in major overhaul needed in next year

$55,000

   

Salvage value in 8 years

$15,000

 

$90,000

Remaining life

8 years

 

8 years

Net cash flow generated each year

$30,425

 

$43,900

 

Answer that Bartebly provided is down below.

My Questions is: Can you display what Pv factor you used to get the a present value calculations. can you leave the the present value calculations to 6 digits. 

My Question can you round the discount factor 8%.. For example. 0.9259... round it to 0.926.

My Question: Can you also provide the Profitability Index of both Old and New Backhoes. Thank You

A. Calculation of net present value

a. Old backhoes

YEAR CASH FLOWS DISCOUNTING FACTOR @8% PV
1 30425 0.926 28173.55
2 30425 0.857 26074.22
3 30425 0.794 24157.45
4 30425 0.735 22362.37
5 30425 0.681 20719.42
6 30425 0.630 19167.75
7 30425 0.583 17737.77
8 30425 0.540 16429.5
TOTAL   5.746 174822.03

Here present value is 174822.03.

NPV = 174822.03-90000 = 84822.03

b. New backhoes

YEAR CASHFLOWS D.F 28% present value
1 43900 0.926 40651.4
2 43900 0.857 37622.3
3 43900 0.794 34856.6
4 43900 0.735 32266.5
5 43900 0.681 29895.9
6 43900 0.630 27657
7 43900 0.583 25593.7
8 43900 0.540 23706
total   5.746 252249.4

Here present value is 252249.4

NPV = 252249.4-200000

       = 52249.4

B. The company can continue old backhoes. Because higher the NPV is better the project

C. Calculation of pay back

pay back period =original cost/annual net cash inflow

     a. old backhoes

        payback=55000/30425

                     =1.8

The cost of original investment is recovered by one year eight months.

b. new backhoes

payback= 200000/43900

             =4.5

The cost of investment is recovered by four year five months.

D. Payback period means time taken to recover the initial cost of investment.

payback period= cash outflow/cash inflow

In the above case it is better to continue with old backhoes because its payback period is lesser(1.8) as compared to the new backhoes(4.5). Shorter the pay back is better.

  

Expert Solution
Step 1

Meaning Of NPV :- 

Net present value (NPV) is the difference between the PV of cash inflows and the PV of cash outflows over a period of time. NPV is used in capital budgeting and investment planning to analyze the profitability of a project.

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