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CPA
Intermediate Leval
Financial-Management-November 2015
ANSWERS

Financial Management
Revision Kit

QUESTION 1(a)

Q Highlight three financial instruments that are traded in money markets.
A

Solution


Money Market Instruments


Money market instruments are short-term, highly liquid financial assets that are traded in the money markets. Some common examples include:

  • Treasury Bills (T-Bills): Short-term government securities with maturity periods of a few days to one year, used to raise funds and manage short-term liquidity needs.
  • Commercial Paper: Unsecured, short-term debt issued by corporations to meet immediate financial obligations, typically with maturities ranging from a few days to 270 days.
  • Certificates of Deposit (CDs): Time deposits offered by banks with fixed interest rates and fixed maturity dates, providing a secure investment option for short to medium-term savings.
  • Repurchase Agreements (Repos): Short-term agreements where one party sells securities to another with an agreement to repurchase them at a higher price, effectively serving as collateralized short-term loans.
  • Short-Term Government Bonds: Bonds issued by governments with relatively short maturities, providing a low-risk investment option for investors seeking stability and liquidity.
  • Bankers' Acceptances: Short-term debt instruments that arise from international trade transactions, with a bank providing a payment guarantee on behalf of a buyer.




QUESTION 1(b)

Q Explain the following theories in relation to valuation of financial assets:

(i) Fundamental theory.

(ii) Random walk theory.
A

Solution


Valuation Theories of Financial Assets


(i) Fundamental Theory:

The intrinsic value of a financial asset is determined by its fundamental attributes, such as earnings, dividends, and growth potential. Analysts assess the true worth of an asset through fundamental analysis, believing that market prices will eventually converge towards this intrinsic value.

(ii) Random Walk Theory:

Challenges the idea of consistently predicting market movements. It suggests that asset prices move randomly, making it difficult to forecast future prices accurately. The theory implies that markets are efficient, with prices already reflecting all available information, and attempting to predict future movements based on historical data is akin to a random process.





QUESTION 1(c)

Q Ngatata Limited has issued a 20-year bond with a nominal value of Sh.1,000 and a coupon annual rate of 9%. Coupon payments are made semi-annually in arrears. The yield to maturity of the bond is 12% per annum.

Required:
(i) The value of the bond.

(ii) The new value of the bond, if yield to maturity goes down to 8% per annum.
A

Solution


i. Valuation of the bond Coupon payments semi annual


4.5 / 100 × 1,000 = Sh.4.5
Year
1 - 40
40

Cashflows
45
1,000

D.F 6%
15.0463
0.0972

PV
677.0835
97.2000
774.2835


ii. New value of the bond, if yield to maturity goes down to 8% per annul


Year
1 - 40
40

Cashflows
45
1,000

D.F 4%
19.7928
0.2083

PV
890.676
208.300
1098.976






QUESTION 1(d)

Q Rematex Limited's earnings have been growing at the rate of 18% per annum. This growth is expected to continue for 4 years, after which the growth rate will fall to 12% per annum for another 4 years.

Thereafter, the growth rate is expected to be 6% in perpetuity. The company's last dividend paid was Sh.2. The investors' required rate of return on the company's equity is 15%.

Required:
The intrinsic value of the share.
A

Solution


Year
1
2
3
4
5
6
7
8
9 to ∞

Dividends per share
2 x 1.18¹ = 2.36
2 x 1.18² = 2.78
2 x 1.18³ = 3.29
2 x 1.18⁴ = 3.88
3.88 x 1.12¹ = 4.35
3.88 x 1.12² = 4.87
3.88 x 1.12³ = 5.45
3.88 x 1.12⁴ = 6.11
71.96
Intrinsic Value
D.F 15%
0.8696
0.7561
0.6575
0.5718
0.4972
0.4323
0.3759
0.3269
0.3269

PV
2.05
2.11
2.16
2.22
2.16
2.11
2.05
2.00
23.52
40.38


Dividend to infinity(9 to ∞) = (D(1 + g)) / (r - g)

(6.11(1.06)) / (0.15 - 0.06) = 71.96



QUESTION 2(a)

Q Summarise four advantages of debentures over preference shares
A

Solution


Advantages of Debentures over Preference Shares


  • Seniority: Debentures typically hold a higher claim on the company's assets and earnings compared to preference shares. In case of liquidation, debenture holders are prioritized for repayment, providing a more secure position.
  • Fixed Interest Payments: Debentures pay fixed interest, providing certainty to investors. Preference shares, on the other hand, may have variable dividend payments, making debentures more predictable for income-seeking investors.
  • Ownership Control: Debenture holders do not have voting rights, allowing equity shareholders to retain control over decision-making. This can be advantageous for existing shareholders who want to maintain control of the company.
  • Lower Volatility: Debentures are generally less influenced by market fluctuations compared to preference shares. The stability of fixed interest payments can make debentures a more stable investment option.
  • Tax Advantage: Interest paid on debentures is considered a tax-deductible expense for the issuing company, providing potential tax advantages compared to dividends paid on preference shares.



QUESTION 2(b)

Q Wendy Limited has the following capital structure:

Debt
Equity
Preference shares
35%
50%
15%

The management of the company has provided the data below:

Bond yield to maturity
Corporate tax rate
Growth rate of ordinary dividends
Market price of one ordinary share
Dividend for one ordinary share
Market price of one preference share
Floatation cost of one preference share
Dividend for one preference share
9%
30%
9%
Sh.30
Sh.1.20
Sh.100
Sh.2.00
Sh.8.50

The company's weighted average cost of capital (WACC)
A

Solution


Cost of preference shares Kp

Kp = Dp / Po × 100%

Dp = Dividend per share = Sh. 8.5

Po = Market price per share = Sh. 100

Kp = 8.5 / 100 x 100% = 8.5%

Cost of Ordinary shares

Kd = ( Do(1 + g) / Po ) + g x 100

Do = Dividend per share = 1.2

g = growth rate = 9%

Po = Market price per ordinary share = 30

( 1.2(1.09) / 30 ) + 0.09 x 100 = 13.36%

WACC = ( 35 / 100 x 9 ) + ( 50 / 100 x 13.36 ) + ( 15 / 100 x 8.5 )

3.15 + 6.68 + 1.28 = 11.11%




QUESTION 2(c)

Q Cindy Ltd. currently gives credit terms of net 30 days. The company's average annual sales amount to Sh.120 million. The average collection period is 45 days. The management intends to increase the credit period to net 60 days. This plan is expected to increase sales by 15 per cent. After the change in credit terms, the average collection period is expected to be 75 days. Variable costs are 80% of sales. The company's required rate of return on receivables is 20%.

Corporate tax rate is 30%.

Assume a 360 days year.

Required:
Advise the management of Cindy Ltd. on whether to relax its credit terms.
A

Solution


New sales = 115 / 100 x 120 million = Sh. 138 million

Average debtors = (average collection period / 360 days) x credit sales

Current policy = 45 / 360 x 120 million = 15 million

Proposed policy = 75 / 360 x 138 million = 28.75 million

Opportunity cost
Current policy = 20 / 100 x 15,000,000 = Sh. 3,000,000

Proposed policy = 20 / 100 x 28,750,000 = Sh. 5,750,000

Variable costs
Current policy = 80 / 100 × 120,000,000 = 96,000,000

Proposed policy = 80 / 100 x 138,000,000 = 110,400,000


Sales
Less: variable costs
contribution
Less: opportunity cost
Profit before tax
Less tax
Profit after tax
Proposed policy
138,000,000
(110,400,000)
27,600,000
(5,750,000)
21,850,000
(6,555,000)
15,295,000
Current policy
120,000,000
(96,000,000)
24,000,000
(3,000,000)
21,000,000
(6,300,000)
14,700,000
Change
18,000,000
(14,400,000)
3,600,000
(2,750,000)
850,000
(255,000)
595,000


Cindy Limited's management ought to consider relaxing its credit terms.




QUESTION 2(d)

Q The following data was extracted from the financial statements of Kapecha Limited as at 30 September 2015:


10% preference shares (Sh.10 par value)
Ordinary shares (Sh.10 par value)

Retained earnings

15% debentures

Sh."million"
16
16
32
28
60
48
108

The company's net profit before interest was Sh.80 million. The company's dividend pay-out ratio was 50%. Corporate tax rate is 30%.

Required:
Dividend per share (DPS).
A

Solution


DPS for Kapecha Limited

Number of ordinary shares

Ordinary share capital ÷ par value

16,000,000 ÷ 10 = 1,600,000

Debenture interest annually

15% × 48,000,000 = Sh. 7,200,000

EBIT
Less: interest
Profit before tax
Less: tax 30%
Profit after tax
Dividends paid
80,000,000
(7,200,000)
72,800,000
(21,840,000)
50,960,000
0.5 × 50,960,000 = 25,480,000


Dividends per share = dividend paid / number of shares

25,480,000 / 1,600,000

DPS = Sh. 15.925




QUESTION 3(a)

Q The following information relates to Mongwe Limited for the year ended 31 October 2015:

Earnings yield
Dividend for the year
Nominal value per share
Market price per share
25%
10% of share nominal value
Sh.40
Sh.150

Required:
(i) Earnings per share (EPS).

(ii) Dividend cover.

(iii) Price-earnings (P/E) ratio.
A

Solution


i. Earnings per share (EPS)


EY = EPS / MPPS x 100%

Where;

EY = Earning yield

EPS = Earnings per share

MPPS = Market price per share

EPS = EY / 100% x MPPS

25% x 150 = Sh. 37.50

ii. Dividend cover


Dividend cover = EPS / DPS

Where;

DPS = Dividend per share

37.50 / (10% x 40) = 9.375

For each 1 Kenyan Shilling of dividends to be distributed, the company has 9.375 Kenyan Shillings in earnings to cover those dividend payments.

iii. Price-earnings (P/E) ratio


P / E = MPPS / EPS

150 / 37.50 = 4

For every Sh. 1 of earnings of the company an investor pays Sh. 4




QUESTION 3b

Q The following details relate to a capital project in XYZ Limited:

Project cost
Annual cash flows (after tax)
Project economic life
Required rate of return
Sh.65,000,000
Sh.21,000,000
5 years
12%

Required:
Assess the suitability of the capital project using the following methods:

(i) Internal rate of return (IRR).

(ii) Profitability index (PI).
A

Solution


(i) Internal rate of return (IRR).


Target discount rate = 65,000,000 / 21,000,000 = 3.0952

Assume discount rate of 18% then,

NPV = (3.1272 x 21,000,000) - 65,000,000

671,200

Assume a discount rate of 20% then,

NPV = (2.9906 x 21,000,000) - 65,000,000

(2,197,400)

IRR = LDR + NFVLDR / (NFV LDR - NPVHDR ) x (HDR - LDR)

Where:

  • LDR: Lower Discount Rate - The lower boundary for the discount rate range.
  • NFV: Net Future Value - The net present value of future cash flows.
  • NPV: Net Present Value - The present value of future cash flows minus the initial investment cost.
  • HDR: Higher Discount Rate - The higher boundary for the discount rate range.

18 + 671,200 / (671,200 + 2,197,400) x (20 - 18)

18.47%

(ii) Profitability index (PI).


PI = Present value of cashflows / Project cost

(21,000,000 x 3.6048) / 65,000,000

75,700,800 / 65,000,000 = 1.16

For every Sh.1 invested in project XYZ generates sh 1.16





QUESTION 3(c)

Q Nile group of hotels is considering the acquisition of Victoria hotel at a cost of Sh.200 million. The group of hotels cost of capital is currently 16% due to its high gearing level. Victoria hotel has no debt.

As a result of this acquisition, the cost of capital for Nile group of hotels will drop to 12%. Total cash flows will also increase by Sh.25 million per annum in perpetuity.

Required:
(i) Using the net present value (NPV) approach, advise the management of Nile group of hotels on the acquisition of Victoria hotel.

(ii) If the acquisition was funded by borrowing so that there is no impact on gearing after acquisition and the cost of capital was not reduced, advise the management of Nile group of hotels whether to proceed with the acquisition of Victoria hotel.
A

Solution


(i) Using the net present value (NPV) approach, advise the management of Nile group of hotels on the acquisition of Victoria hotel.


NPV = Cash flows in perpetuity / Cost of capital - initial outlay

25,000,000 / 0.12 - 200,000,000

208, 333,333.3 - 200,000,000 = Sh. 8,333,333.3

Nile group should proceed with the acquisition

(ii) Advise the management of Nile group of hotels whether to proceed with the acquisition of Victoria hotel.


NPV = 25,000,000 / 0.16 - 200,000,000

156,250,000 - 200,000,000

NPV = Sh.(43,750,000)

Nile group should not proceed with the purchase of Victoria Hotel due to negative NPV




QUESTION 4(a)

Q Fila Ltd. intends to raise finance as follows:

Debenture: Raise Sh.100 million through a debenture issue. Each debenture will have a face value of Sh.1,000 and will be issued at 2% floatation cost and a discount of Sh.60. The coupon rate will be 10% with a maturity period of 10 years.

Equity: The firm will raise Sh.100 million from ordinary shares. The current level of dividend is Sh.5 per share and this has been growing at 10% per annum. The current market price per share is Sh.40 and floatation cost will be 5% of the market price.

Long term debt: Raise Sh.20 million long-term debt at par with an interest rate of 10% per annum.

Corporate tax rate is 30%.

Required:
The marginal cost of capital (MCC) of Fila Ltd.
A

Solution


Cost of debenture(Kd)

Kd
=
[
1 + (Mv - Po) / n

(Mv + Po) / 2
]
(1 - t) x 100%


I = interest paid 10 / 100 x 1,000 = Sh. 100

Mv = maturity value = Sh. 1,000

Po = market price per debenture

1,000 - 60 - (2 / 100 x 1,000) = Sh. 920

T = corporate tax = 30%

Kd
=
[
100 + (1,000 - 920) / 10

(1,000 + 920) / 2
]
(1 - 0.3) x 100%


(100 + 8) / 960 x 0.7 x 100 = 7.88%

Cost of long term debt

Kl = I(1 - T) = 10%
10%(1 - 0.3) = 7%

Cost of equity (Ke)

Do is dividend per share = Sh. 5

g is growth rate = 10%

Po is current market price per share = Sh.40

f is floatation cost per share = 0.05 x 40 = Sh. 2

Ke = (Do(1 + g)) / (Po - t) + g x 100%

(5(1.1)) / (40 - 2) + 0.1 x 100% = 24.47%

Source
Debenture
Equity
Long term debt

Amount
100 million
100 million
20 million
220 million
Weight
0.45
0.45
0.1

Cost of capital
7.88%
24.47%
7.00%

MCC
3.55%
11.01%
0.70%
15.26%
br




QUESTION 4(b)

Q Compute and interpret the following ratios for the year ended 31 December 2014:

(i) Cash conversion cycle.

(ii) Equity turnover.

(iii) Fixed charge cover.

(iv) Return on capital.
A

Solution


i. Cash conversion cycle


Inventory period + Debtors collection-Creditors

Inventory period = Average inventory / Cost of sales × 365

((330 + 230) ÷ 2) / 2,135 x 365 = 47.87 days

Debtors collection period = Average debtors / Credit sales x 365

((220 + 170) ÷ 2) / 3,500 x 365 = 20.34 days

Payables period = Average creditors / Credit purchases x 365

Credit purchases = cost of sales + closing stock-opening stock

2,135 + 330 - 230 = Sh.2,235 million

Payable period = ((85 + 105) ÷ 2) / 2235 x 365 = 15.51 days

Thus conversion cycle is 47.87 + 20.34 - 15.51 = 52.70 days

ii. Equity turnover


Equity turnover = Sales / Average equity

3,500 / (1,075 + 995) ÷ 2 = 3.38

Each unit of equity in Tana Enterprises Ltd results in generating Sh. 3.38 in revenue.

iii. Fixed charge cover


(EBIT + fixed charges) / (Interest payments + fixed charges) = 258 / 74 = 3.49

The company earns Sh. 3.49 for every Sh. 1 of fixed charges it is obligated to pay.

iv. Return on capital


(NOPAT / (Equity + interest bearing debt - cash)) x 100%

(258(1 - 0.3) / (1,075 + 625 - 100 + 150)) x 100%

180.6 / 1,750 x 100% = 10.32%

Each Sh. 100 of invested capital in the company yields a net operating profit after tax of Sh. 10.32.




QUESTION 5a

Q Distinguish between "required rate of return" and "expected rate of return
A

Solution


Required Rate of Return vs. Expected Rate of Return


Required Rate of Return:


The required rate of return is the minimum return that an investor expects to achieve from an investment to compensate for the level of risk undertaken. It is influenced by factors such as the risk-free rate, the risk premium associated with the specific investment, and the investor's risk tolerance. The required rate of return is a crucial component in investment decision-making and is used to assess the attractiveness of an investment opportunity. If the expected rate of return is equal to or exceeds the required rate of return, the investment may be considered acceptable.


Expected Rate of Return:


The expected rate of return is the anticipated or forecasted return that an investor estimates from an investment based on various factors, including historical performance, market conditions, and future expectations. It represents the average return an investor can reasonably expect under normal circumstances. The expected rate of return is forward-looking and serves as a benchmark for assessing the potential profitability of an investment. It is a subjective estimate and may differ from the actual return realized. Investors use the expected rate of return to make informed decisions about allocating their capital among different investment opportunities.




QUESTION 5b

Q Discuss three contracts that are made through Islamic financial instruments
A

Solution


Contracts Through Islamic Financial Instruments


Islamic finance is guided by Sharia principles, which prohibit certain elements such as interest (riba) and excessive uncertainty (gharar). Contracts used in Islamic finance adhere to these principles. Here are some common contracts made through Islamic financial instruments:

Murabaha:


Murabaha is a cost-plus-profit arrangement. In this contract, the Islamic financial institution purchases an asset requested by the client and sells it to the client at a markup. The client pays the amount in installments, making it a transparent and Sharia-compliant financing method.


Mudarabah:


Mudarabah is a profit-sharing arrangement where one party provides capital (Rab-ul-Mal), and the other party manages the business (Mudarib). Profits generated are shared based on a pre-agreed ratio, but losses, if any, are borne by the capital provider. This promotes risk-sharing and aligns the interests of both parties.


Ijarah:


Ijarah is an Islamic leasing contract. In this arrangement, the Islamic financial institution purchases an asset and leases it to the client for a specified period and rental amount. At the end of the lease term, the client may have the option to purchase the asset or return it.


Sukuk:


Sukuk represents Islamic bonds that comply with Sharia principles. These bonds are structured to generate returns through ownership of tangible assets or services. Sukuk holders receive a share of the profits generated by the underlying assets, and the issuance is backed by those assets, promoting asset-backed financing.


Istisna:


Istisna is a contract for manufacturing or construction. It involves the sale of goods that are yet to be produced. The Islamic financial institution may finance the production or construction process, and the client takes delivery of the completed asset.


These contracts and financial instruments are designed to meet Sharia principles, ensuring ethical and transparent financial transactions within the Islamic finance framework.





QUESTION 5c

Q Summarise six benefits of the integrated financial management information system (IFMIS).
A

Solution


Benefits of Integrated Financial Management Information System (IFMIS)


  • Enhanced Efficiency: IFMIS streamlines financial processes, reducing manual efforts and enhancing overall operational efficiency.
  • Real-time Financial Reporting: Provides real-time access to financial data, enabling timely and accurate reporting for informed decision-making.
  • Budgetary Control: Facilitates effective budget planning, monitoring, and control, ensuring compliance with financial plans.
  • Improved Transparency: Enhances transparency by providing stakeholders with clear visibility into financial transactions and expenditures.
  • Integrated Data: Integrates financial data from various departments, promoting a unified and comprehensive view of the organization's financial health.
  • Cost Reduction: Reduces administrative costs associated with manual processes and enhances cost-effectiveness in financial management.
  • Risk Management: Supports risk identification and mitigation through better monitoring and control of financial activities.
  • Compliance: Ensures compliance with regulatory requirements and financial standards through automated checks and validations.
  • Streamlined Procurement: Improves procurement processes by automating workflows, reducing delays, and enhancing transparency in procurement activities.
  • Enhanced Decision Support: Provides decision-makers with accurate and timely financial information, facilitating better-informed strategic decisions.



QUESTION 5(d)

Q Makata Limited intends to invest its surplus funds in shares with the following return expectations:

Economic condition
Boom
Average
Recession
Probability
0.20
0.60
0.20
Share returns
40%
15%
-10%

Required:
Using the coefficient of variation, assess the risk level associated with the investment.
A

Solution


Expected return = (0.2 x 40) + (0.6 x 15) - (0.2 x 10)

8 + 9 - 2 = 15%

Standard deviation
δ = √ (0.2 × 402 ) + (0.6 x 152) + (0.2 x 102) - 152


320 + 135 + 20 - 225 = 15.81%

Coefficient of variation = (standard deviation / mean) x 100%

15.81 / 15 x 100% = 105.41%




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