Capital Rationing Decision for a Service Company Involving Four Proposals Renaissance Capital Group is considering allocating a limited amount of capital investment funds among four proposals. The amount of proposed investment, estimated income from operations, and net cash flow for each proposal are as follows:   Investment Year   Income from Operations   Net Cash Flow Proposal A: $680,000 1    $64,000   $200,000 2    64,000   200,000 3    64,000   200,000 4    24,000   160,000 5    24,000    160,000   $240,000 $920,000 Proposal B: $320,000 1    $26,000  $90,000 2      26,000     90,000 3        6,000     70,000 4        6,000     70,000 5      (44,000)     20,000       $20,000 $340,000 Proposal C: $108,000 1     $33,400  $55,000 2      31,400    53,000 3      28,400    50,000 4      25,400    47,000 5     23,400    45,000   $142,000 $250,000 Proposal D: $400,000 1 $100,000 $180,000 2   100,000   180,000 3     80,000   160,000 4    20,000   100,000 5 0       80,000   $300,000 $700,000 The company's capital rationing policy requires a maximum cash payback period of three years. In addition, a minimum average rate of return of 12% 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. Present Value of $1 at Compound Interest 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.   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.   Average Rate of Return Proposal A:  % Proposal B:  % Proposal C:  % Proposal D:  % 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. Note: Select the proposals in alphabetic order. 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. Note: Select the proposals in alphabetic order. Select proposal to compute Present value index.     Present value index (rounded)     6.  Rank the proposals from most attractive to least attractive, based on the present values of net cash flows computed in part (4). Rank 1st   Rank 2nd   7.  Rank the proposals from most attractive to least attractive, based on the present value indexes computed in part (5). Rank 1st   Rank 2nd   8.  The present value indexes indicate that although Proposal   has the larger net present value, it is not as attractive as Proposal   in terms of the amount of present value per dollar invested. Proposal   requires the larger investment. Thus, management should use investment resources for Proposal   before investing in Proposal  , absent any other qualitative considerations that may impact the decision.

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Chapter1: Financial Statements And Business Decisions
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  1. Capital Rationing Decision for a Service Company Involving Four Proposals

    Renaissance Capital Group is considering allocating a limited amount of capital investment funds among four proposals. The amount of proposed investment, estimated income from operations, and net cash flow for each proposal are as follows:

      Investment Year   Income from Operations   Net Cash Flow
    Proposal A: $680,000 1    $64,000   $200,000
    2    64,000   200,000
    3    64,000   200,000
    4    24,000   160,000
    5    24,000    160,000
      $240,000 $920,000
    Proposal B: $320,000 1    $26,000  $90,000
    2      26,000     90,000
    3        6,000     70,000
    4        6,000     70,000
    5      (44,000)     20,000
          $20,000 $340,000
    Proposal C: $108,000 1     $33,400  $55,000
    2      31,400    53,000
    3      28,400    50,000
    4      25,400    47,000
    5     23,400    45,000
      $142,000 $250,000
    Proposal D: $400,000 1 $100,000 $180,000
    2   100,000   180,000
    3     80,000   160,000
    4    20,000   100,000
    5 0       80,000
      $300,000 $700,000

    The company's capital rationing policy requires a maximum cash payback period of three years. In addition, a minimum average rate of return of 12% 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.

    Present Value of $1 at Compound Interest
    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.

      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.

      Average Rate of Return
    Proposal A:  %
    Proposal B:  %
    Proposal C:  %
    Proposal D:  %

    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.

    Note: Select the proposals in alphabetic order.

    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.

    Note: Select the proposals in alphabetic order.

    Select proposal to compute Present value index.    
    Present value index (rounded)    

    6.  Rank the proposals from most attractive to least attractive, based on the present values of net cash flows computed in part (4).

    Rank 1st  
    Rank 2nd  

    7.  Rank the proposals from most attractive to least attractive, based on the present value indexes computed in part (5).

    Rank 1st  
    Rank 2nd  

    8.  The present value indexes indicate that although Proposal   has the larger net present value, it is not as attractive as Proposal   in terms of the amount of present value per dollar invested. Proposal   requires the larger investment. Thus, management should use investment resources for Proposal   before investing in Proposal  , absent any other qualitative considerations that may impact the decision.

 
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