Required: 1.  Compute the cash payback period for each of the four proposals. Proposal Cash Payback Period Proposal A   Proposal B   Proposal C   Proposal D     2.  Giving effect to straight-line depreciation on the investments and assuming no estimated residual value, compute the average rate of return for each of the four proposals. If required, round your answers to one decimal place. Proposal Average Rate of Return Proposal A fill in the blank 5 % Proposal B fill in the blank 6 % Proposal C fill in the blank 7 % Proposal D fill in the blank 8 %   3.  Using the following format, summarize the results of your computations in parts (1) and (2) by placing the calculated amounts in the first two columns on the left and indicate which proposals should be accepted for further analysis and which should be rejected. If required, round your answers to one decimal place. Proposal Cash Payback Period Average Rate of Return Accept or Reject A       B       C       D

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
Section: Chapter Questions
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Renaissance Capital Group is considering allocating a limited amount of capital investment funds among four proposals. The amount of proposed investment, estimated operating income, and net cash flow for each proposal are as follows:

Proposal Investment Year Operating Income Net Cash Flow
Proposal A: $500,000 1 $ 45,000 $ 145,000
Proposal A:   2    40,000    140,000
Proposal A:   3    25,000    125,000
Proposal A:   4    20,000    120,000
Proposal A:   5    5,000    105,000
Total     $135,000 $635,000
Proposal B: $400,000 1 $ 40,000 $ 120,000
Proposal B:   2    20,000     100,000
Proposal B:   3      10,000     90,000
Proposal B:   4      10,000     90,000
Proposal B:   5       6,000     86,000
Total       $ 86,000 $486,000
Proposal C: $380,000 1   $ 54,000 $ 130,000
Proposal C:   2     49,000    125,000
Proposal C:   3     49,000    125,000
Proposal C:   4    44,000    120,000
Proposal C:   5    44,000    120,000
Total     $240,000 $620,000
Proposal D: $675,000 1 $135,000 $270,000
Proposal D:   2   120,000    255,000
Proposal D:   3    90,000    225,000
Proposal D:   4    15,000    150,000
Proposal D:   5 10,000        145,000
Total     $370,000 $1,045,000

The company's capital rationing policy requires a maximum cash payback period of 3 years. In addition, a minimum average rate of return of 10% is required on all projects. If the preceding standards are met, the net present value method and present value indexes are used to rank the remaining proposals.

Year 6% 10% 12% 15% 20%
1 0.943 0.909 0.893 0.870 0.833
2 0.890 0.826 0.797 0.756 0.694
3 0.840 0.751 0.712 0.658 0.579
4 0.792 0.683 0.636 0.572 0.482
5 0.747 0.621 0.567 0.497 0.402
6 0.705 0.564 0.507 0.432 0.335
7 0.665 0.513 0.452 0.376 0.279
8 0.627 0.467 0.404 0.327 0.233
9 0.592 0.424 0.361 0.284 0.194
10 0.558 0.386 0.322 0.247 0.162

 

Required:

1.  Compute the cash payback period for each of the four proposals.

Proposal Cash Payback Period
Proposal A
 
Proposal B
 
Proposal C
 
Proposal D
 

 

2.  Giving effect to straight-line depreciation on the investments and assuming no estimated residual value, compute the average rate of return for each of the four proposals. If required, round your answers to one decimal place.

Proposal Average Rate of Return
Proposal A fill in the blank 5 %
Proposal B fill in the blank 6 %
Proposal C fill in the blank 7 %
Proposal D fill in the blank 8 %

 

3.  Using the following format, summarize the results of your computations in parts (1) and (2) by placing the calculated amounts in the first two columns on the left and indicate which proposals should be accepted for further analysis and which should be rejected. If required, round your answers to one decimal place.

Proposal Cash Payback Period Average Rate of Return Accept or Reject
A
 
 
 
B
 
 
 
C
 
 
 
D
 
 
 

 

4.  For the proposals accepted for further analysis in part (3), compute the net present value. Use a rate of 15% and the present value of $1 table above. Round to the nearest dollar.

Line Item Description Answer Answer
Select the proposal accepted for further analysis.
 
 
Present value of net cash flow total    
Less amount to be invested    
Net present value    

5.  Compute the present value index for each of the proposals in part (4). If required, round your answers to two decimal places.

Line Item Description Answer Answer
Select proposal to compute Present value index.
 
 
Present value index (rounded)    
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