Topic: Capital rationing

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a) In periods of difficult global financial environment, raising of capital is a challenge necessitating the need for prudent and best use of scarce capital for projects.

Required:
i) Explain the term capital rationing. (2 marks)
ii) Distinguish between soft capital rationing and hard capital rationing giving an example each. (3 marks)

b) Akonta Ghana Ltd has excess funds of GH¢200 million and is looking for attractive investment opportunities that will yield a return of 15% per annum or better to deploy the funds. An extract from a Feasibility report submitted by a team of investment and project experts is as follows:

Project Initial Investment Required (GH¢) Constant Annual Cash Inflow (GH¢) Project Life (Years)
A 80,000,000 36,000,000 4
B 40,000,000 23,000,000 3
C 78,000,000 30,000,000 5
D 40,000,000 20,000,000 4
E 40,000,000 22,000,000 3

The cash flows per project are constant for the life span of each project and each project is divisible for the purpose of capital allocation.

Required:
i) Calculate the Net Present Values (NPVs) of each project. (7 marks)
ii) Rank the projects using Profitability Index and allocate the GH¢200 million among the projects. (3 marks)

c) There are many sources of debt finance available to a company which has viable and profitable investment opportunities to utilise the funds. It is, however, very important for the Finance Manager to do a thorough work before deciding the type and source of debt finance to tap into.

Required:
Explain THREE (3) factors a Finance Manager should consider when deciding the type of debt finance to raise. (5 marks)

a)
i) Capital Rationing

Capital rationing refers to the allocation of scarce or restricted capital among acceptable projects based on the most profitable and efficient use of the capital. For example, if a company has a total available capital of GH¢1 million to invest among competing profitable projects whose total capital investment required exceeds GH¢1 million, the company will have to allocate or ration the capital in order of best values or profitability. (2 marks)

ii) Soft and Hard Capital Rationing

  • Soft Capital Rationing is the situation where the constraint on raising and using capital is internally driven by policies and decisions. For example, a company with past poor return on investment compared to initial projections may implement internal tightening of capital allocations and raising of returns expectation on projects.
  • Hard Capital Rationing occurs when a company faces constraints in raising capital due to external factors such as market conditions or investor reluctance. An example would be a company unable to raise additional funds through equity due to unfavorable stock market conditions.

(1.5 marks each = 3 marks)

b)
i) Net Present Value (NPV) Calculations

Project Initial Investment Outlay (GH¢) Constant Annual Cash flows (GH¢) Annuity Discount Factor @ 15% Present Value (GH¢) Net Present Value (GH¢)
A 80,000,000 36,000,000 2.855 102,780,000 22,780,000
B 40,000,000 23,000,000 2.283 52,509,000 12,509,000
C 78,000,000 30,000,000 3.352 100,560,000 22,560,000
D 40,000,000 20,000,000 2.855 57,100,000 17,100,000
E 40,000,000 22,000,000 2.283 50,226,000 10,226,000

(7 marks)

ii) Profitability Index Ranking and Allocation

Project Initial Investment Outlay (GH¢) Present Value (GH¢) Profitability Index (PI) Rank Amount Allocated (GH¢)
D 40,000,000 57,100,000 1.43 1 40,000,000
B 40,000,000 52,509,000 1.31 2 40,000,000
C 78,000,000 100,560,000 1.29 3 78,000,000
A 80,000,000 102,780,000 1.28 4 42,000,000
E 40,000,000 50,226,000 1.26 5 0

Total Allocated: GH¢200,000,000

(3 marks)

c) Factors to Consider When Deciding the Type of Debt Finance

  • Cost: This includes the interest rate, issuance costs, and any other fees associated with the debt. The cost of debt finance can significantly affect the viability and profitability of the projects being financed. The tax implications and the basis of interest rates (fixed vs. variable) are also critical considerations.
  • Purpose and Maturity: The purpose of the finance will determine the maturity of the debt. Long-term investments like capital expenditure should be financed with long-term debt, while working capital requirements should be financed with short-term debt instruments like overdrafts.
  • Gearing Level/Financial Risk: The company’s existing level of debt relative to equity (gearing) and the associated financial risk must be evaluated. High gearing may limit the company’s ability to raise additional debt and may expose the company to higher financial risk.
  • Flexibility: The terms and conditions and covenants that go with the facility
    should be reviewed and ensure that they friendly and will not squeeze the
    company unfavourably. Ability to restructure and renegotiate during difficult
    times should be considered
  • Control: Will the new source lead to dilution of control of existing shareholder
    and will they be happy? Will any debt put a lot of restrictions on shareholder and
    dividend payment and will they be happy? All should be considered and
    analysed. Will the debt providers exercise a; lot of control and interference in the
    management?
  • Security/Collateral: Providing collateral or security for the debt is also crucial and
    should be carefully considered. The bigger and longer the debt tenor the more the
    requirement to provide security or Collateral.

(5 marks)

In the coming years, the company is likely to face restrictions on financing for capital investments.

Required:

i) Distinguish between soft capital rationing and hard capital rationing. (2 marks)
ii) Advise the managers of the company on THREE (3) practical ways of dealing with capital rationing. (3 marks)

i) Soft capital rationing vs. Hard capital rationing:

  • Soft capital rationing:
    This occurs when restrictions on capital allocation are internally imposed by the company’s management. It may be due to managerial decisions to control spending, budgeting constraints, or a strategic choice to limit the number of projects undertaken within a period. The firm essentially chooses to limit capital expenditures.
  • Hard capital rationing:
    This happens when the company faces external constraints in raising funds from the capital market. These constraints may be due to a lack of access to external financing, high costs of borrowing, or unfavorable market conditions. The company is forced to limit its capital projects due to an inability to secure sufficient external funds.

(2 marks)

ii) Practical ways of dealing with capital rationing:

  1. Delay the start of projects:
    Postpone less critical projects until funds become available or market conditions improve. This prioritizes projects with the highest returns or strategic importance.
  2. Seek joint ventures:
    Enter into partnerships or joint ventures with other companies to share the financial burden of capital investments. This reduces the amount of capital required from the company.
  3. Subcontract portions of investment:
    Outsource parts of the investment phase to third-party contractors who can pre-finance the work. This reduces the immediate capital requirements of the company while still allowing the project to proceed.

ABC Ltd is considering five projects for the coming financial year. Four of the projects have undergone financial appraisal (see the table below).

Project Lifespan Initial investment (GH¢) NPV (GH¢) IRR
PA201 Indefinite (50,000) 85,200 11.5%
PA202 Indefinite (75,000) 98,500 12.3%
PA203 Indefinite (48,000) 65,950 10.2%
PA204 Indefinite (85,000) 95,400 11.4%
PA205 Indefinite (150,000) Yet to be appraised Yet to be appraised

Project PA205 entails an immediate capital investment of GH¢150,000 and will produce the following annual net cash flows in real terms:

Year 1 2 3 4 5 Every year after year 5
Cash flow (GH¢) 5,000 10,500 25,000 28,000 30,000 30,000

Expected general rate of inflation is 15% and the company’s money required rate of return is 25%.

Required:

a) Appraise Project PA205 using the NPV criteria. (4 marks)
b) Assess the sensitivity of Project PA205 to the discount rate. (4 marks)

c) Suppose in the coming financial year, only GH¢200,000 of finance will be available for investments but the capital constraint will ease afterwards. Advise the company on which project(s) to implement in the coming year if the projects are –

i) Independent and divisible (3 marks)
ii) Independent and indivisible (3 marks)

d) When management rejects projects with positive net present value because of capital constraints, they lose opportunities to enhance the value of shareholders. Suggest three practical ways of dealing with capital rationing so as not to discard projects with positive net present value. (6 marks)

a) NPV Computation:

NPV can be computed by discounting the real cash flows with the company’s real rate of return. Discounting the project real cash flows with the real rate of return produces an NPV of GHS152,666:

End of Year NCF Discount Factor @ 8.7% PV
0 (150,000) 1 (150,000)
1 5,000 0.92 4,600
2 10,500 0.846 8,883
3 25,000 0.779 19,475
4 28,000 0.716 20,048
5 30,000 0.659 19,770
6 and every year thereafter 30,000 7.575 227,250

NPV = 150,026

Comment: Since the NPV of the project is positive, the value of the firm will increase when the project is implemented. The project should therefore be accepted for implementation.

Workings:

1.) Discount rate:

The real rate of return is estimated using the Fisher’s equation as under:

(1+i)=(1+r)(1+h)

Nominal rate, i = 25%
Inflation rate, h = 15%
Therefore, the real rate of return is 8.7%

2.) Discount factor for equal cash flows occurring every year from year 6 to infinity

The equal annual cash flow of GHS30,000 from year 6 to infinity is first discounted as a perpetuity to obtain the terminal value at end of year 5:

Terminal value of constant CF from 6 to infinity =

The terminal value is then discounted as a single amount to obtain the PV at time zero:

PV of constant CF from 6 to infinity =

The aggregate discount factor is therefore 7.575:

Aggregate discount factor =

b) Sensitivity Analysis:

The sensitivity of the project’s NPV to the discount rate can be estimated as the percentage change in the discount rate needed to reduce NPV to zero.

Sensitivity percentage =

Sensitivity percentage =

That is, the discount rate will have to increase by 72.4% for the NPV to reduce to zero. The high percentage increase required in the discount rate for the NPV to drop to zero implies Project PA205 is less sensitive to variation in the discount rate.

IRR Calculation:

The IRR is calculated by trial and error as under:

Setting iL = 15% and iH = 17%, NPVL and NPVH are computed as under:

End of Year NCF DF (15%) PV @15% DF (17%) PV @17%
0 (150,000) 1.000 (150,000) 1.000 (150,000)
1 5,000 0.870 4,350 0.855 4,275
2 10,500 0.756 7,938 0.731 7,676
3 25,000 0.658 16,450 0.624 15,600
4 28,000 0.572 16,016 0.534 14,952
5 30,000 0.497 14,910 0.456 13,680
6 and every year thereafter 30,000 6.667 x 0.497 99,405 5.882 x 0.456 80,466

NPV @ 15% = 9,069
NPV @ 17% = (13,351)

The IRR of the project is 15.8%:

c) Project Selection Under Single Period Capital Rationing

i) If projects are independent and divisible

When a firm faces capital rationing for a single period and projects are independent and divisible, funds may be allocated to projects based on the profitability index rankings.

Project Investment NPV PI = NPV/Investment Rank
PA201 50,000 85,200 1.70 1
PA202 75,000 98,500 1.31 3
PA203 48,000 65,950 1.37 2
PA204 85,000 95,400 1.12 4
PA205 150,000 150,026 1.00 5

Fund Allocation:

Fund allocation to projects based on PI rankings and respective NPV follow:

Project Investment Required Fund Allocation NPV
PA201 50,000 50,000 85,200
PA203 48,000 48,000 65,950
PA202 75,000 75,000 98,500
PA204 (balance) 85,000 27,000 30,299*
PA205 150,000
200,000 279,949

That is, the company should invest fully in projects PA201, PA203, and PA202; 31.76% in PA204 (27,000/85,000); and nothing in PA205 which is at the bottom of the ranking. The optimum aggregate NPV is GHS279,949.

Workings:

  • NPV from PA204 is its NPV multiplied by the proportion of the investment requirement the company will allocate funds to (i.e. GHS95,400 x 31.76%).

ii) If projects are independent and indivisible

Here we consider a combination of the projects and select the combination that will produce the highest combined NPV. Any unused funds may be invested externally (e.g., in securities).

Combination of Projects Combined Investment Requirement Unused Funds Combined NPV
PA201, PA202, and PA203 173,000 27,000 249,650
PA201, PA203, and PA204 183,000 17,000 246,550
PA201 and PA205 200,000 0 235,226
PA203 and PA205 198,000 2,000 215,976

The company should invest in projects PA201, PA202, and PA203 to earn the highest combined NPV of GHS249,650. The unused funds of GHS27,000 should be invested externally.

d) Practical Ways to Address Capital Constraints:

Practical ways of dealing with capital constraints so as not to lose opportunities to further increase the value of the company include the following:

  • Seek joint venture partners to share the project’s investment requirement.
  • Use licensing or franchising arrangements to produce and sell the product, earning royalties while avoiding financing of the investment requirements.
  • Contract out parts of the project to subcontractors who would finance the project in advance.
  • Seek alternative financing such as venture capital and asset securitization.
  • Seek grants or aid from the government or organizations if the project aligns with their objectives.

The current financial year of General Kapito Ltd, a sports apparel company based in Ghana, will be ending in two months’ time. The directors of the company will be meeting next week to approve capital projects that will be implemented in the coming financial year. A major concern for the coming year is the availability of finance to meet investment requirements.

The cost of raising new capital in Ghana’s capital market has risen so high that it is not cost-effective to raise small blocks of capital. Consequently, the directors of the company have decided to finance new projects in the coming year with retained earnings and not raise new external capital from the capital market to bridge any financing gap. The maximum amount of retained earnings that will be available for financing new capital projects in the coming year is GH¢62 million.

There are six independent projects that will be presented before the board of directors for approval in their upcoming meeting. Five of the projects have been appraised already (see a summary of the projects in the table below).

Project Investment requirement Net present value (NPV) Internal rate of return (IRR)
PROJECT-01 25 50 36.2%
PROJECT-02 15 45 37.1%
PROJECT-03 9 35 39.5%
PROJECT-04 12 20 34.8%
PROJECT-05 34 To be computed To be computed
PROJECT-06 5 2 33.5%

Project-05 refers to a 5-year contract with a local football club for the manufacture and supply of a special football boot for playing under rainy conditions. It is estimated that this project will require an investment of GH¢34 million in plant and equipment at the start of the first year. The estimated cost of required plant and equipment might change as there are speculations about probable change in technology in the coming year. That notwithstanding, this project is expected to return an after-tax net operating cash flow of GH¢13.5 million every year over the coming five years. The estimated after-tax salvage value of the plant and equipment is GH¢10 million at the end of the fifth year.

The company’s required rate of return is 25%.

Required:

a) Compute the NPV and IRR of Project-05. (10 marks)

b) Assess the sensitivity of the outcome of Project-05 to variations in the cost of plant and equipment. Interpret your result. (5 marks)

c) Assuming the projects are divisible, recommend the portfolio of projects that should be funded in the coming year. (5 marks)

a) NPV and IRR of Project-05

NPV of Project-05:

Period NCF (GH¢m) DF @ 25% PV @ 25% DF @ 35% PV @ 35%
EOY 0 -34 1.0000 (34.00) 1.0000 (34.00)
EOY 1-5 13.5 2.6893 36.31 2.2200 29.97
EOY 5 10 0.3277 3.28 0.2230 2.23
Total NPV 5.58 (1.80)

IRR of Project-05:

Project-05 should be considered for further appraisal as its NPV is positive and IRR is greater than the required rate of return.
(Marks allocation: NPV computation = 6 marks; IRR computation = 4 marks)

b) Sensitivity of Project-05 to Cost of Plant and Equipment:

Interpretation:
The cost of the plant and equipment will have to increase by 16.41% for the NPV of the project to become zero. This implies that the project will no longer be viable if the cost of equipment and plant increases by more than 16.41%.
(Marks allocation: Sensitivity calculation = 4 marks; Interpretation = 1 mark)

c) Recommended Portfolio of Projects:
Profitability Index (PI) of Projects

Allocating available funds to projects based on PI ranking:

Rank Project Investment Required Allocation NPV
1 PROJECT-03 9 9 35
2 PROJECT-02 15 15 45
3 PROJECT-01 25 25 50
4 PROJECT-04 12 12 20
5 PROJECT-06 5 1 0.4
6 PROJECT-05 34 0 0

Recommended Portfolio:
The company should fund Projects 3, 2, 1, and 4 in full and fund 1/5 of Project 6 for a combined NPV of GH¢150.4 million.

(Marks allocation: Profitability index and ranking = 3 marks; Recommended portfolio = 2 marks)

 

The Gomoa Chemical Limited has a capital budget for 2018 of GH¢1,000,000. The following capital investment proposals are submitted to the capital budget committee:

PROJECT PROFITABILITY INDEX OUTLAY
1 1.2 200,000
2 1.18 200,000
3 1.17 100,000
4 1.10 300,000
5 1.15 200,000
6 1.13 200,000
7 1.19 400,000
8 1.21 100,000
9 1.22 100,000
10 1.16 100,000

The company’s cost of capital is 5%. Projects 2 and 8 are mutually exclusive: Projects 1 and 5 are mutually dependent.

Required:
As the chairman of the budget committee, which projects should the committee choose? (15 marks)

To determine which projects should be selected, the following analysis can be performed:

Identify Mutually Exclusive Projects:

  • Projects 2 and 8 are mutually exclusive. We should select the one with the higher profitability index (PI).
  • Project 8 has a PI of 1.21, while Project 2 has a PI of 1.18. Therefore, Project 8 should be selected.

Identify Mutually Dependent Projects:

  • Projects 1 and 5 are mutually dependent, meaning both must be selected together or rejected together. The combined profitability index for these projects should be calculated:
  • Combined Outlay = 200,000 + 200,000 = 400,000
  • Combined Profitability Index = (1.2 × 200,000 + 1.15 × 200,000) / 400,000 = (240,000 + 230,000) / 400,000 = 470,000 / 400,000 = 1.175

Thus