Question

Need answers for parts 5, 7 and 8.

Capital Rationing Decision for a Service Company Involving Four Proposals

Clearcast Communications Inc. 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:	$450,000	1		$ 30,000		$ 120,000
		2		30,000		120,000
		3		20,000		110,000
		4		10,000		100,000
		5		(30,000)		60,000
				$ 60,000		$510,000
Proposal B:	200,000	1		$ 60,000		$ 100,000
		2		40,000		80,000
		3		20,000		60,000
		4		(10,000)		30,000
		5		(20,000)		20,000
				$ 90,000		$290,000
Proposal C:	$320,000	1		$ 36,000		$ 100,000
		2		26,000		90,000
		3		26,000		90,000
		4		16,000		80,000
		5		16,000		80,000
				$120,000		$ 440,000
Proposal D:	$540,000	1		$92,000		$ 200,000
		2		72,000		180,000
		3		52,000		160,000
		4		12,000		120,000
		5		(8,000)		100,000
				$220,000		$     760,000

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	4 years
Proposal B	2 years 4 months
Proposal C	3 years 6 months
Proposal D	3 years

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	5.3%
Proposal B	18%
Proposal C	15 %
Proposal D	16.3%

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	4 yrs.	5.3%		Reject
B	2 yrs., 4 mos.	18%		Accept
C	3 yrs., 6 mos.	15%		Reject
D	3 yrs.	16.3%		Accept

4. For the proposals accepted for further analysis in part (3), compute the net present value. Use a rate of 12% 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.	Proposal B	Proposal D
Present value of net cash flow total	$226200	$569000
Less amount to be invested	$200000	$540000
Net present value	$26200	$29000

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	Proposal D
Rank 2nd	Proposal B

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.

Answer 1

5.

Select proposal to compute Present value index	Proposal B	Proposal D
Present value index (rounded)	1.13	1.05

Present value index = Present value of net cash flows/Initial investment

Proposal B: $226200/$200000 = 1.13

Proposal D: $569000/$540000 = 1.05

7.

Rank 1st	Proposal B
Rand 2nd	Proposal D

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

Note: The present value of cash flows given in part 4 has been assumed to be correct and used for calculating the present value index. The correctness of the same has not been re-verified.