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CPA
Intermediate Leval
Financial-Management-November 2017
ANSWERS

Financial Management
Revision Kit

QUESTION 1a

Q Explain four factors that might be considered when establishing an effective credit policy in an organisation.
A

Solution


Establishing an effective credit policy is crucial for the financial health of an organization. Below are key factors that should be considered when developing a credit policy:

1. Credit Risk Assessment:


Evaluate the creditworthiness of customers before extending credit. Consider factors such as their credit history, financial stability, and ability to meet payment obligations.


2. Industry and Market Conditions:


Assess the economic conditions and trends in the industry. Economic downturns or fluctuations can impact the ability of customers to make timely payments.


3. Customer Segmentation:


Segment customers based on risk profiles. High-risk customers may require stricter credit terms, while low-risk customers may qualify for more favorable terms.


4. Credit Limits:


Set appropriate credit limits for each customer based on their financial capacity. Monitor and adjust these limits as the customer's business evolves.


5. Payment Terms:


Define clear and consistent payment terms, including the due date for payments. Consider offering discounts for early payments to encourage prompt settlements.


6. Credit Terms Flexibility:


Assess the flexibility of credit terms based on the nature of the business and customer relationships. Some customers may require more flexible terms to accommodate their cash flow cycles.


7. Credit Monitoring and Reporting:


Implement systems for monitoring customer credit regularly. Utilize credit reporting agencies and financial statements to stay informed about changes in customers' financial situations.


8. Collection Policies:


Establish clear procedures for handling late payments and collections. Define the steps to be taken when payments are overdue, including communication and escalation processes.


9. Legal and Regulatory Compliance:


Ensure that the credit policy aligns with legal and regulatory requirements. Stay informed about changes in regulations that may impact credit management practices.


10. Collateral Requirements:


Determine whether collateral is required for certain credit arrangements. This adds a layer of security for the organization in case of default.


11. Credit Insurance:


Consider obtaining credit insurance to mitigate the risk of non-payment due to insolvency or other unforeseen circumstances.


12. Communication and Transparency:


Clearly communicate the credit policy to customers. Transparency about credit terms, interest rates, and any associated fees builds trust and helps avoid misunderstandings.


13. Credit Committee or Approval Process:


Establish a credit committee or approval process for evaluating and approving credit requests. This ensures that credit decisions are made collectively and based on a comprehensive analysis.


14. Technology and Automation:


Implement technology and automation to streamline credit evaluation processes. This can include credit scoring models, automated credit checks, and integrated systems for tracking customer credit history.


15. Training and Education:


Provide training for staff involved in credit management. This ensures that they understand the credit policy, compliance requirements, and effective communication with customers.





QUESTION 1b

Q Summarise four hindrances to international standardisation of Islamic finance.
A

Solution


Hindrances to International Standardization of Islamic Finance:


1. Diverse Interpretations: Different interpretations of Sharia principles among scholars and jurisdictions hinder the development of universally accepted standards.

2. Regulatory Variations: Varied regulatory frameworks and practices across countries create challenges in achieving harmonized international standards.


3. Lack of Consensus: The absence of consensus among Islamic financial institutions on certain practices complicates the establishment of unified standards.


4. Cultural and Legal Differences: Cultural nuances and legal disparities impact the adoption of standardized Islamic financial practices on a global scale.


5. Market Fragmentation: Fragmentation within the Islamic finance market impedes the creation of cohesive international standards.





QUESTION 1c

Q Illustrate how the problem of window dressing manifests itself in measuring business performance using financial ratio analysis.
A

Solution


Illustration of Window Dressing in Financial Ratio Analysis:


Scenario: Imagine a company approaching the end of its financial reporting period, aiming to present a more favorable picture of its financial health to stakeholders.

1. Liquidity Ratios:


Original State: The current ratio, which measures a company's short-term liquidity, might be lower than desired due to high short-term liabilities.


Window Dressing: The company might engage in window dressing by temporarily paying off some short-term liabilities just before the reporting period, inflating the current ratio and giving the appearance of better liquidity.


2. Debt Ratios:


Original State: The debt-to-equity ratio might be high, indicating significant financial leverage.


Window Dressing: To manipulate this ratio, the company might temporarily repay some debt or renegotiate terms to show a lower debt-to-equity ratio, suggesting lower financial risk.


3. Profitability Ratios:


Original State: The profit margin may be lower due to increased expenses or lower sales.


Window Dressing: In an attempt to boost the profit margin, the company could defer certain expenses, recognize revenue prematurely, or use aggressive accounting methods to temporarily inflate profits.


4. Efficiency Ratios:


Original State: The inventory turnover ratio might be below industry standards.


Window Dressing: To improve this ratio, the company might accelerate sales or delay the purchase of inventory, artificially inflating turnover ratios temporarily.


5. Market Ratios:


Original State: The price-to-earnings (P/E) ratio may be unattractive to investors.


Window Dressing: The company might engage in share buybacks or manipulate earnings to present a more favorable P/E ratio to attract investors.


Impact: While these window dressing techniques may temporarily improve certain ratios, they don't reflect the company's true underlying financial health and performance. Investors and stakeholders relying on these ratios may be misled, as the improvements are often short-term and not sustainable.




QUESTION 1d

Q The management of Gumbo Ltd, intends to change the company's credit policy from 'net 30 to 3/10 net 60. If this change is effected, annual sales are expected to increase by 25% from the current level of Sh.12 million. The proportion of bad debts is also expected to increase from 10% to 15% of the credit sales.

A new credit assistant officer will also have to be employed at a salary of $500,000 per annum. If there is a change in the firm's credit policy, it is expected that 60% of the credit customers will benefit from the cash discount offer.

The inventory level and variable costs are however expected to remain constant at 20% and 40% of the annual sales respectively. The firm's rate of return on investment is 14% per annum.

The corporate tax rate is 30%

All sales are on credit.

Assume a 360-day financial year

Required:

Advise the management of Gumbo Ltd. on whether to adopt the new credit policy.
A

Solution


Credit policy
New sales = 125 / 100 x 12,000,000 = Sh. 15,000,000

Bad debts
15 / 100 x 40% New policy x 15,000,000 = Sh.900,000
10 / 100 old policy x 12,000,000 = Sh.1,200,000

Benefit from discount offer

60 / 100 x 15,000,000 = Sh.9,000,000

No benefit from discount offer

40 / 100 x 15,000,000 = Sh. 6,000,000

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

Average debtors new policy
Discount offer 10 / 360 x 9,000,000
No discount 60 / 360 × 6,000,000
Total average debtors new policy
= Sh. 250,000
= Sh. 1,000,000
Sh.1,250,000


Average debtors old policy
30 / 360 x 12,000,000 = Sh. 1,000,000

Discount allowed new policy
3% x 9,000,000 = Sh, 270,000

Inventory
New policy = 20 / 100 x 15,000,000 = Sh. 3,000,000
Old policy = 20 / 100 x 12,000,000 = Sh. 2,400,000

Cost of capital / Opportunity cost
Debtors new policy = 14 / 100 x 1,250,000 = Sh. 175,000
Debtors old policy = 14 / 100 x 1,000,000 = Sh. 140,000
Inventory new policy = 14 / 100 x 3,000,000 = Sh. 420,000
Inventory old policy = 14 / 100 x 2,400,000 = Sh. 336,000

Details
Sales
Less: variable cost 40%
Contribution
Less: bad debts
Less: salary new credit assistant
Less: discount allowed
Less: opportunity cost inventory debtors
Debtors
Profit before tax
Less: 30%
Profit after tax
New policy
15,000,000
(6,000,000)
9,000,000
(900,000)
(500,000)
(270,000)
(420,000)
(175,000)
6,735,000
(2,020,500)
4,714,500
Old policy
12,000,000
(4,800,000)
7,200,000
(1,200,000)
0
0
(336,000)
(140,000)
5,524,000
(1,657,200)
3,866,800
Change
3,000,000
(1,200,000)
1,800,000
300,000
(500,000)
(270,000)
(84,000)
(35,000)
1,211,000
(363,300)
847,700


Advise: The management of Gumbo Ltd. should adopt the new credit policy since it results into a positive change.




QUESTION 2a

Q Explain four limitations of dividend growth model.
A

Solution


Limitations of Dividend Growth Model


The Dividend Growth Model (DGM) is a method used to value a stock by estimating its future dividends and discounting them back to their present value. While the model has its merits, it also comes with several limitations:

The Dividend Growth Model (DGM) limitations:


  1. Assumption of Equity Financing: The model assumes that a firm is financed solely by equity, neglecting the impact of debt financing on the company's capital structure.
  2. Incompatibility with Low Cost of Capital: The DGM cannot be applied when the cost of capital is less than the growth rate (g) in dividends. This scenario undermines the fundamental assumptions of the model.
  3. Exclusion of Non-Dividend Factors: The model does not consider non-dividend factors that contribute to a company's value, such as brand loyalty, customer retention, and ownership of intangible assets. These elements are crucial in determining a company's overall worth.
  4. Dependency on Dividends: The DGM is most suitable for companies with regular dividend payments. However, it may not be applicable to firms, especially in growth sectors, that either do not pay dividends or have minimal dividend policies.
  5. Sensitivity to Growth Rate: The model is highly sensitive to the assumed growth rate. Small changes in this rate can lead to significant variations in the calculated stock value.
  6. Fluctuations in Dividend Payments: The DGM does not account for fluctuations in dividend payments that may occur due to changes in a company's earnings or financial difficulties.
  7. Difficulty in Application: The perpetual assumption of a stream of dividends may not be practical for companies in volatile industries or facing unpredictable market conditions, making the model challenging to apply universally.
  8. Ignorance of External Factors: The DGM overlooks external factors, such as changes in interest rates, inflation rates, and macroeconomic conditions, that can influence stock prices.
  9. Exclusion of Capital Gains: The model focuses exclusively on dividends and ignores potential capital gains from the appreciation of the stock price, providing a limited perspective on total return.




QUESTION 2b

Q (i) The cum-right market price per share (MPS) after the announcement of the rights issue.

(ii) The theoretical ex-right market price per share.

(iii) The theoretical value of each right.
A

Solution


i. Cum right price per share (MPS) after the announcement of rights issue

Number of existing ordinary shares = Number of existing ordinary share capital / par value

10,000,000 / 10 = 1,000,000

Cost of equity = dividend per share / current market price per share × 100%

0.4 / 20 x 100% = 2%

Number of right issue shares

1 / 4 x 1,000,000 = 250,000

Total amount raised from right issue

250,000 × 15 = Sh. 3,750,000

NPV of new project

Project after tax cashflows / cost of equity - initial outlay

950,000 / 0.02 - 3,750,000 = 47,500,000 - 3,750,000 = Sh. 43,750,000

Cum right market price per share(Po)

Current MPS + NPV per share

NPV per share
NPV of project / Existing number of shares

43,750,000 / 1,000,000 = Sh. 43.75

Cum right market price per share = 20 + 43.75 = Sh. 63.75

ii. The theoretical ex-right market price per share (Px)

Px = ((Po x So) + (Ps x S)) / (So + S)

Where,

Po = cum right MPS = 63.75
So = existing shares = 1,000,000
Ps = right issue shares = 250,000
S = subscription price = 15

Px = ((63.75 x 1,000,000) + (15 x 250,000)) / (1,000,000 + 250,000) = Sh.54

iii. The theoretical value of each right

R = Po - Px
63.75 - 54 = Sh.9.75





QUESTION 2c

Q (i) Exercise all his rights.

(ii) Sell all his rights.

(iii) Ignore the rights issue.
A

Solution


i. Exercise all his rights

Amount owned before right issue
Value of shares + amount in savings account
(1,600 × 20) + 10,000 = 42,000
New right issue shares
1,600 / 4 x 1 = 400 at Ps of 15

New number of shares
(400 + 1,600) = 2,000

Value of wealth

(2,000 × 54) + 10,000 - (400 x 15) = Sh. 112,000

Prior to right issue value of wealth was Sh. 42,000 which has increased to Sh. 112,000 after right issue

ii. Selling all his rights

Value of wealth
= (1,600 × 54) + 10,000 + (1,600 x 9.75)
= 86,400 + 10,000 + 15,600
= Sh. 112,000

iii) Ignore the rights issue

Value of health
(1,600 x 54) + 10,000 = Sh. 96,400





QUESTION 3a

Q (i) The current intrinsic value of the shares.

(ii) Advise the investors based on the result obtained in (a) (i) above.
A

Solution


i. The current intrinsic value of the shares.

Intrinsic value of the shares.
P / E ratio = MPS / EPS

Where;

EPS = earnings per share

MPS = P / E ratio x EPS

EPS = MPS / PE ratio

Where:

MPS is market price per share = 60

60 / 6 = Sh. 10

Dividend per share dividend payout ratio x earnings per share

40 / 100 x 10 = sh.4

Year
1
2
3
4
5
6 ∞

Dividend per share
4 x 1.1¹ = 4.40
4 x 1.1² = 4.84
4 x 1.1³ = 5.32
5.32 x 1.05¹ = 5.59
5.32 x 1.05² = 5.87
76.31
Dividend to perpetuity
D.F 12%
0.8929
0.7972
0.7118
0.6355
0.5674
0.5674

P.V
3.93
3.86
3.79
3.55
3.33
43.30
61.76

6 to ∞ = (D(1 + g)) / (r - g)

(5.87(1 + 0.04)) / (0.12 - 0.04) = Sh.76.31

Current intrinsic value sh.61.76

ii. Advice to the investors

According to the findings, Kweke Ltd.'s shares appear to be underestimated as the present market value per share at Sh.60 is lower than the intrinsic value of Sh.61.76. Consequently, it is recommended that investors consider purchasing Kweke Ltd.'s shares.




QUESTION 3b

Q (i) The amount to be raised from equity capital, if the capital structure is to remain unchanged.

(ii) The number of ordinary shares the company should issue to raise the desired external equity capital.

(iii) The firm's weighted marginal cost of capital (WMCC).
A

Solution


(i) The amount to be raised from equity capital, if the capital structure is to remain unchanged.

Amount to be raised
Source
Ordinary shares
10% debt
Retained profit

Amount 000
480,000
384,000
96,000
960,000
Weight
480,000 + 960,000 = 0.5
384,000 + 960,000 = 0.4
96,000 + 960,000 = 0.1
1.0


Amount to be raised from equity capital

(weight ordinary shares + weight retained earnings) x Project cost

(0.5 + 0.1) x 180,000,000 = Sh. 108,000,000

(ii) The number of ordinary shares the company should issue to raise the desired external equity capital.

Amount to be raised from ordinary share issued / ( market price per each ordinary share - floatation cost per share)

(0.5 x 180,000,000.) / (30 - 5) = 3,600,000 shares

(iii) The firm's weighted marginal cost of capital (WMCC).

Cost of equity

Ke = (Do(1 - 8)) / (Po - f) + g x 100%

Where:

Do is dividend per share = Sh. 5
g is growth rate in dividends = 5% or 0.05m
Do is ex dividend market price per share = Sh. 30
F if floatation cost per share = 5

Ke = (5(1 + 0.05)) / (30 - 5) + 0.05 x 100%

5.25 / 25 + 0.05 x 100%

(0.21 + 0.05) x 100% = 26%

Cost of retained earnings(Kr)

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

(5(1.05)) / 30 + 0.05 x 100%

5.25 / 30 + 0.05 x 100% = (0.175 + 0.05) x 100% = 22.5%

Cost of debenture(Kd)

Kd = (I(1 - T)) / (Po - f) x 100%

Where;

I is interest paid = 15 / 100 x 100 = Sh. 15
T is tax rate = 30% or 0.3
Po is market value of each debenture = Sh. 120
F is floatation cost per each debenture issued = Sh. 10

Kd = (15(1 - 0.3)) / 120 x 100% = 8.75%

Weighted marginal cost of capital (WMCC)
Source
Ordinary shares
Retained earnings
15% debenture

Amount "000"
90,000
18,000
72,000
180,000
Weight
0.5
0.1
0.4

Cost
26%
22.5%
8.75%

WMCC
13%
2.25%
3.5%
18.75%




QUESTION 4(a)

Q Describe four types of money market instruments.
A

Solution


Money Market Instruments


Money market instruments are short-term debt securities that are highly liquid and generally considered low-risk. They play a crucial role in the money markets by providing a means for governments, financial institutions, and corporations to manage their short-term funding needs. Below are types of money market instruments:

  1. Treasury Bills (T-Bills):
    • Issuer: Government
    • Maturity: Short-term
    • Characteristics: Issued at a discount, considered safe.
  2. Commercial Paper:
    • Issuer: Large corporations
    • Maturity: Short-term
    • Characteristics: Unsecured promissory notes, higher yield.
  3. Repurchase Agreements (Repos):
    • Issuer: Financial institutions
    • Maturity: Very short-term
    • Characteristics: Collateralized short-term borrowing/lending.
  4. Certificates of Deposit (CDs):
    • Issuer: Banks
    • Maturity: Short to medium-term
    • Characteristics: Time deposits with fixed rates.
  5. Banker's Acceptances:
    • Issuer: Used in international trade
    • Maturity: Short-term
    • Characteristics: Time drafts for trade transactions.
  6. Money Market Mutual Funds:
    • Issuer: Managed investment funds
    • Maturity: Varies
    • Characteristics: Pooled funds investing in money market instruments.
  7. Short-Term Municipal Securities:
    • Issuer: State and local governments
    • Maturity: Short-term
    • Characteristics: Used to meet temporary cash flow needs.
  8. Treasury Inflation-Protected Securities (TIPS):
    • Issuer: U.S. Department of the Treasury
    • Maturity: Varies (5, 10, 30 years)
    • Characteristics: Inflation-indexed securities.
  9. Eurodollar Deposits:
    • Issuer: International banks
    • Maturity: Short-term
    • Characteristics: U.S. dollar deposits held outside the U.S.




QUESTION 4(b)

Q Highlight three agency costs that might arise in the principal-agent relationship between shareholders and managers.
A

Solution


Agency Costs in Principal-Agent Relationship


In the principal-agent relationship between shareholders (the principals) and managers (the agents) within a corporation, agency costs can arise due to the divergent interests and information asymmetry between the two parties. Agency costs represent the expenses incurred by shareholders to monitor and control managers to ensure that their actions align with shareholder interests. Below are key agency costs highlighted:

  1. Monitoring Costs:
    • Description: Shareholders must expend resources to oversee managerial actions and ensure alignment with shareholder interests.
    • Example: Costs associated with hiring external auditors, conducting financial analyses, and implementing internal control mechanisms.
  2. Bonding Costs:
    • Description: Shareholders may require managers to take specific actions or provide guarantees to demonstrate commitment to shareholder interests.
    • Example: The cost of implementing performance-based compensation systems or obtaining insurance policies to reassure shareholders.
  3. Residual Loss:
    • Description: Occurs when managers prioritize their interests over those of shareholders, resulting in a reduction of shareholder wealth.
    • Example: Poor investment decisions, excessive perquisites (perks), or unethical behavior by managers that negatively impact the company's financial performance.
  4. Opportunistic Behavior:
    • Description: Managers may act in their own self-interest, taking advantage of information asymmetry to benefit themselves at the expense of shareholders.
    • Example: Insider trading, manipulation of financial statements, or pursuing projects that primarily enhance managerial wealth.
  5. Adverse Selection:
    • Description: Occurs when managers with adverse characteristics are more likely to be selected, leading to suboptimal decision-making.
    • Example: Shareholders may face challenges in identifying and appointing managers with the most suitable skills, ethics, and commitment.
  6. Moral Hazard:
    • Description: Managers might take risks or make decisions that benefit them personally but expose shareholders to potential losses.
    • Example: Pursuing aggressive business strategies that offer personal rewards but pose significant risks to the company and its shareholders.
  7. Shirking:
    • Description: Managers may exert less effort or fail to act diligently in performing their duties.
    • Example: Managers may neglect their responsibilities, leading to decreased company performance and ultimately harming shareholder value.
  8. Golden Parachutes:
    • Description: Large compensation packages or severance agreements that protect managers in the event of a change in control, regardless of their performance.
    • Example: Managers receiving substantial financial benefits even if the company performs poorly or is acquired by another firm.




QUESTION 4(c)

Q (i) The initial net cash outlay.

(ii) The incremental net operating cash flows for years I through year 5.

(iii) The total terminal cash flows.

(iv). Using net present value (NPV) criteria, advise the management of Karem Bottling Company whether or not to purchase the new machine.
A

Solution


i). The Initial net cash outlay

Purchase cost of new machine
Less: disposal proceeds of old machine
Less: tax shield benefit disposal loss
30%(2,400,000 - 1,060,000)

4,700,000
1,060,000

(402,000)
3,238,000


ii). The incremental net operating cash flows for years 1 through year 5

Incremental depreciation
Depreciation of new machine = (4,700,000 - 600,000) ÷ 5 = Sh. 820,000
Depreciation of old machine = (2,400,000 - 200,000) ÷ 5 = Sh. 440,000
Incremental depreciation 820,000 - 440,000 = Sh.380,000

Incremental net operating cash inflows
Savings on electric power usage and repair costs
Add: savings in defective bottles annually
Less: incremental depreciation
Profit before tax
Less: tax 30%
Profit after tax
Add: incremental depreciation
Operating cash inflows
Sh. 920,000
Sh. 120,000
Sh. (380,000)
660,000
(198,000)
462,000
380,000
842,000


(iii). Total terminal cash flows

Salvage value of the new machine
Salvage value of the old machine

600,000
(200,000)
400,000


Recovery working capital
Add: incremental salvage valu

0
400,000
Sh.400,000


(iv). Using net present value (NPV) criteria, advise the management of Karem Bottling Company whether or not to purchase the new machine.

Year
1 - 5
5



Cash flows
842,000
400,000
PV cash inflows
Less initial outlay
NPV
DF 12%
3.6048
0.5674



PV
3,035,241.60
226,960
3,262,201.60
3,238,000.00
24,201.60


Advice
Karem bottling company should replace existing machine since it has a positive NPV





QUESTION 5a

Q Describe three factors that have limited the growth of venture capital investment in most developing countries.
A

Solution


Factors Limiting Growth of Venture Capital in Developing Countries


Venture capital (VC) is a form of private equity financing that investors provide to startups and small businesses that are deemed to have high growth potential. In exchange for their investment, venture capitalists receive an ownership stake in the company and often play an active role in its management. The goal of venture capital is to help early-stage companies grow and succeed, ultimately yielding profitable returns for both the venture capitalists and the entrepreneurs.

Venture capital (VC) investment in developing countries faces several challenges that have limited its growth. While venture capital can be a critical driver of innovation and economic development, the following factors often impede its expansion in many developing nations:

  1. Risk Aversion:
    • Description: Investors may exhibit higher risk aversion due to uncertain economic and regulatory environments.
  2. Lack of Legal and Regulatory Frameworks:
    • Description: Developing countries may lack clear guidelines and protection for venture capital investments.
  3. Limited Exit Opportunities:
    • Description: Smaller capital markets and fewer exit options can hinder successful venture capital investments.
  4. Underdeveloped Financial Infrastructure:
    • Description: Inadequate financial systems can impede effective deployment and management of funds.
  5. Scarcity of Skilled Entrepreneurs:
    • Description: Developing countries may lack skilled entrepreneurs with the experience needed to scale innovative businesses.
  6. Political and Economic Instability:
    • Description: Instability can create an environment of uncertainty, deterring investors.
  7. Limited Access to Information:
    • Description: Challenges in accessing reliable data on potential investment opportunities.
  8. Currency Risks:
    • Description: Fluctuations and exchange rate risks can impact the valuation of investments.
  9. Cultural and Social Factors:
    • Description: Attitudes toward risk, entrepreneurship, and failure can vary significantly.
  10. Limited Supportive Infrastructure:
    • Description: Insufficient infrastructure such as research facilities and technology parks.




QUESTION 5b

Q The value of the firm based on the present value of the expected earnings approach.
A

Solution


g = [(Profit after tax latest / Profit after tax earliest)1/n - 1] x 100%

[(6.3 / 6.0)1/3 -1 ] x 100%

(0.01641) × 100% = 1.64%

Earnings approach

Value of firm = (Profit after tax(1 + g)) / (Earning yield - g)

(6,300,000(1.0164)) / (0.12 - 0.0164) = Sh.61,808,108.11




QUESTION 5c

Q The expected return from the investment.
A

Solution


Month
1
2
3
4
5

Return
(33 - 30) / 30 x 100% = 10%
(30 - 30) / 30 x 100% = 0%
(27 - 30) / 30 x 100% = -10%
(36 - 30) / 30 x 100% = 20%
(39 - 30) / 30 x 100% = 30%

Probability
0.2
0.1
0.3
0.15
0.25

Expected
2.0%
0.0%
-3.0%
3.0%
7.5%
9.5%




QUESTION 5(d)

Q Chitsaka Limited estimates that it requires Sh.12,000,000 for its operations during the following year.

The company will sell marketable securities and deposits into a cost-free no-interest bank account.

The marketable securities currently provide an interest yield of 5% per year.

The cost of selling marketable securities is Sh.60 per transaction regardless of the size of the transaction.

Assume a 365-day financial year.

Required:

Using the Baumol cash management model, determine:

(i). The optimal size of transaction for selling the marketable securities.

(ii). The frequency with which the securities should be sold.
A

Solution


(i). The optimal size of transaction for selling the marketable securities.


C
=
2FT

I

Where;

F is annual cash requirement = Sh.12,000,000
T is transaction cost = Sh. 60
I is interest annually = 5% or 0.05

C
=
2 x 12,000,000 x 60

0.05

√28,800,000 = Sh.169,705.63

(ii). The frequency with which the securities should be sold.

Frequency = F / C

12,000,000 / 169,705.63 = 70.71 times

Frequency in days = 365 ÷ 70.71 = 5.16 days




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