Question 1: Multiple Choice Questions
Problem Statement: To determine the price of preferred stock:
a) divide the rate of return by the dividend amount
b) divide the dividend amount by the rate of return
c) divide the dividend amount by the rate of return minus the growth rate
d) divide the dividend amount by the growth rate
e) divide the dividend amount by one plus the rate of return
Solution:
The correct answer is **(b) divide the dividend amount by the rate of return**. Preferred stock typically pays a fixed dividend in perpetuity. Its price is therefore calculated as the present value of a perpetuity, which is the annual dividend divided by the required rate of return. This is similar to the formula for the value of a perpetual bond.
Problem Statement: The cost of retained earnings is equal to:
a) the return on new common stock
b) the return on preferred stock
c) the return on existing common stock
d) the weighted average cost of capital
e) zero
Solution:
The correct answer is **(c) the return on existing common stock**. The cost of retained earnings represents the opportunity cost to shareholders for forgoing dividends. If the earnings were paid out as dividends, shareholders could have invested that money in another asset with a similar risk profile, such as the company's existing common stock.
Problem Statement: The indifference point identifies:
a) equality of impact on EPS between two financing plans
b) equality of impact on EBIT between two financing plans
c) equality of impact on NAV between two financing plans
d) equality of impact on revenue between two financing plans
e) equality of impact on net profit between two financing plans
Solution:
The correct answer is **(a) equality of impact on EPS between two financing plans**. The indifference point, in the context of capital structure, is the level of EBIT (Earnings Before Interest and Taxes) at which the earnings per share (EPS) of two different financing alternatives (e.g., debt vs. equity) are exactly the same.
Problem Statement: The interest rate used to discount the cash flows associated with a bond is known as:
a) the required rate of return on the firm's equity
b) the prime rate
c) the coupon rate
d) the yield to maturity
e) he government T-bill rate
Solution:
The correct answer is **(d) the yield to maturity**. The yield to maturity (YTM) is the total return anticipated on a bond if the bond is held until it matures. It is the internal rate of return (IRR) of a bond's cash flows and is the market's required rate of return for that specific bond. The coupon rate is the interest paid, not the rate used for discounting.
Problem Statement: All of the following influence the price of a stock for the firm going public by way of an IPO except:
a) anticipated public demand
b) an in-depth company analysis
c) future earnings potential of the company
d) the P/E ratio for similar firms in the industry
e) the previous share price
Solution:
The correct answer is **(e) the previous share price**. An Initial Public Offering (IPO) is when a company's stock is sold to the public for the first time. Since the company was previously private, there is no "previous share price" to consider. All other options are factors that would be carefully analyzed by investment banks and underwriters to determine the offering price.
Problem Statement: Given, risk-free rate of return = 5%, market return = 10%, cost of equity = 15%, value of beta is:
a) 1.9
b) 1.8
c) 2.0
d) 2.1
e) 2.2
Solution:
We can use the Capital Asset Pricing Model (CAPM) formula to solve for beta ($\beta$).
Given: $k_e = 15\%$, $R_f = 5\%$, $R_M = 10\%$.
$0.15 = 0.05 + \beta \times (0.10 - 0.05)$
$0.15 - 0.05 = \beta \times 0.05$
$0.10 = \beta \times 0.05 \implies \beta = \frac{0.10}{0.05} = 2.0$
The value of beta is **(c) 2.0**.
Problem Statement: Under the net present value method:
a) the interest rate is determined that equates inflows and outflows
b) the time value of money is not taken into account
c) the basic discount rate is the internal rate of return
d) inflows are discounted back to determine if they exceed outflows
e) inflows are reinvested at the internal rate of return
Solution:
The correct answer is **(d) inflows are discounted back to determine if they exceed outflows**. The net present value (NPV) method calculates the difference between the present value of all cash inflows and the present value of all cash outflows. It is a fundamental capital budgeting technique that correctly incorporates the time value of money by using a discount rate to bring future cash flows to their present value.
Problem Statement: Projects that increase the overall risk level of the firm:
a) should be discounted at a rate higher than the cost of capital
b) should be discounted at the firm's cost of capital
c) should have a low standard deviation
d) should have a lower beta coefficient
e) should not be undertaken
Solution:
The correct answer is **(a) should be discounted at a rate higher than the cost of capital**. The cost of capital (WACC) is the appropriate discount rate for projects with an average risk level for the firm. A project that increases the firm's overall risk should be discounted at a higher rate to compensate investors for the additional risk. Using the firm's average cost of capital for a high-risk project would be incorrect and could lead to accepting a value-destroying project.
Problem Statement: Analyzing the performance of the firm through ratios over a number of years is referred to as:
a) financial analysis
b) trend analysis
c) vertical analysis
d) operational analysis
e) ratio analysis
Solution:
The correct answer is **(b) trend analysis**. Trend analysis involves examining a firm's financial data and ratios over multiple periods to identify patterns and changes in performance. This helps in understanding the company's financial health over time, unlike a static analysis of a single period.
Problem Statement: Fundamental factors influencing exchange rates include:
a) inflation, government policies, translation exposure
b) interest rates, government policies, and expropriation
c) balance of payments, spot rates, and expropriation
d) balance of trade, interest rates, taxation policy
e) government policies, balance of payments, inflation
Solution:
The correct answer is **(e) government policies, balance of payments, inflation**. These are the key macroeconomic factors that influence the supply and demand for a country's currency. Inflation and interest rate differentials are major drivers (Purchasing Power Parity and Interest Rate Parity), and government policies and the balance of payments (which includes the balance of trade) directly affect the demand for a currency.
Question 2: Modified True/False
Problem Statement: In valuing a security, we need to know the future cash flows and the discount rate.
Solution:
True. The intrinsic value of any security is the present value of its expected future cash flows, discounted at a rate that reflects the risk of those cash flows. Knowing the future cash flows and the appropriate discount rate are the two fundamental inputs for any valuation model.
Problem Statement: Capital budgeting is a responsibility of the Treasurer.
Solution:
True. The Treasurer is a key financial executive whose responsibilities typically include managing cash flows, obtaining financing, and making capital expenditure decisions, which fall under the scope of capital budgeting.
Problem Statement: Simple average cost of capital may be defined as the cost of raising an additional taka of capital.
Solution:
False. The cost of raising an additional taka of capital is the **marginal cost of capital (MCC)**. The simple average cost of capital is the average cost of all the firm's capital sources, weighted by their proportion in the firm's capital structure.
Problem Statement: Working capital management is mainly concerned with the management of the firm's capital assets.
Solution:
False. Working capital management is concerned with the management of a firm's **current assets and current liabilities**. The management of a firm's capital assets (long-term assets) is addressed by capital budgeting.
Problem Statement: A series of consecutive cash flows of equal amounts is known as a compound sum.
Solution:
False. A series of consecutive cash flows of equal amounts is known as an **annuity**. A compound sum refers to the future value of a single amount or a series of cash flows, which includes both the initial principal and the accumulated interest.
Question 3: Matching
Problem Statement: Match the items of column A with the most suitable items of column B.
| Column A | Column B |
|---|---|
| 1. Financial risk | (a) the inability to meet debt obligations |
| 2. Beta coefficient | (b) dividend yield plus growth rate |
| 3. Cost of equity | (c) total assets minus total liabilities |
| 4. Short-term credit | (d) the historical volatility relative to the market's volatility |
| 5. Net worth | (e) earnings yield plus growth rate |
| (f) the inability to pay dividends | |
| (g) suppliers | |
| (h) the return relative to the market return | |
| (i) bondholders | |
| (j) total assets minus current liabilities |
Solution:
The correct matches are as follows:
- **(1) Financial risk** matches with **(a) the inability to meet debt obligations**. Financial risk is the risk to a firm's equity holders that the firm will not be able to pay its debt obligations.
- **(2) Beta coefficient** matches with **(d) the historical volatility relative to the market's volatility**. Beta measures a security's systematic risk by comparing its historical returns to the market's historical returns.
- **(3) Cost of equity** matches with **(b) dividend yield plus growth rate**. This is the formula for the cost of equity under the constant growth (Gordon Growth) model.
- **(4) Short-term credit** matches with **(g) suppliers**. Trade credit from suppliers is a common and often spontaneous source of short-term financing for a firm.
- **(5) Net worth** matches with **(c) total assets minus total liabilities**. Net worth is another term for a company's total equity, which is found by subtracting total liabilities from total assets.
Question 4: Agency Conflict, TVM & Portfolio Beta
Problem Statement: Shareholders generally look forward to acceleration of the growth rate of their business. They therefore, prefer management report on wealth maximization to profit maximization. Required: (i) Clarify the idea of profit maximization and wealth maximization with an example. (ii) Explain to a shareholder THREE (3) inherent disadvantages of using profit as a performance measure and THREE (3) advantages of using wealth maximization as a performance measure.
Solution:
i. Profit Maximization vs. Wealth Maximization:
Profit maximization is the objective of maximizing a firm's net income or earnings per share in the short term. It often focuses on quarterly or annual earnings and can lead to decisions that may not be in the firm's long-term best interest.
Wealth maximization is the long-term objective of maximizing the value of a firm's stock. It considers the timing of cash flows, the risk associated with those cash flows, and the impact of decisions on the firm's overall value. Wealth maximization is the preferred goal of modern financial management.
Example: Suppose a company has two projects. Project A has a higher expected profit in year one but is very risky. Project B has a lower profit in year one but is less risky and has a strong growth trajectory. A management focused on profit maximization might choose Project A, but a management focused on wealth maximization would likely choose Project B, as its lower risk and strong long-term growth would be more valuable to shareholders in the long run.
ii. Disadvantages of Profit and Advantages of Wealth Maximization:
- **Disadvantages of Profit as a Performance Measure:**
- **Ignores risk:** Profit maximization does not account for the riskiness of the cash flows. A project with a high expected profit but also a high risk of failure might be chosen over a less profitable but more certain project.
- **Ignores timing of cash flows:** It does not consider the time value of money. A profit of Tk. 100,000 today is more valuable than a profit of Tk. 100,000 five years from now, but profit maximization treats them as equal.
- **Ambiguous definition of profit:** There are many different ways to measure profit (e.g., net income, EBIT), which can lead to ambiguity and manipulation.
- **Advantages of Wealth Maximization as a Performance Measure:**
- **Considers risk:** Wealth maximization, as measured by stock price, inherently accounts for risk. Risky projects will be discounted at a higher rate, reducing their value to shareholders.
- **Considers the time value of money:** It uses discounting techniques to bring all future cash flows to their present value, making all decisions comparable in today's terms.
- **Focuses on long-term value:** By focusing on the stock price, it encourages management to make decisions that build sustainable, long-term value for the firm, which is aligned with shareholders' interests.
Problem Statement: ITC is a small technology company that develops financial technology (FinTech) applications for mobile devices. The company is selling one of its highly rated FinTech apps to a financial institution. The financial institution has proposed the following strategic payment options for ITC's consideration: Strategy 1: An immediate payment of Tk. 1.2 million followed by payments of Tk. 50,000 at the end of each quarter during the next five years. Strategy 2: Payment of Tk. 55,000 at the beginning of each month for the next five years. ITC's required rate of return is 25% per annum. Required: (i) Identify the type of cash flow pattern described under each option. (ii) Compute the present value of the cash flows for each strategy and advise ITC on the best payment option.
Solution:
i. Identification of cash flow patterns:
Strategy 1 is a combination of a lump-sum payment today and an **ordinary annuity** (a series of equal payments at the end of each period). The payments are quarterly.
Strategy 2 is an **annuity due** (a series of equal payments at the beginning of each period). The payments are monthly.
ii. Present value and advice:
We need to find the present value of each strategy. The required rate of return is 25% per annum.
- **Strategy 1 (Quarterly):**
Quarterly rate = $\frac{25\%}{4} = 6.25\% = 0.0625$
Number of quarters = $5 \text{ years} \times 4 \text{ quarters/year} = 20 \text{ quarters}$
PV of annuity = $PMT \times \left[ \frac{1 - (1+i)^{-n}}{i} \right] = 50,000 \times \left[ \frac{1 - (1.0625)^{-20}}{0.0625} \right]$
$= 50,000 \times 11.258 \approx \text{Tk. } 562,900$
Total PV = Immediate Payment + PV of Annuity = $1,200,000 + 562,900 = \text{Tk. } 1,762,900$
- **Strategy 2 (Monthly):**
Monthly rate = $\frac{25\%}{12} \approx 2.0833\% = 0.020833$
Number of months = $5 \text{ years} \times 12 \text{ months/year} = 60 \text{ months}$
The formula for an annuity due is the ordinary annuity formula multiplied by $(1+i)$.
PV of annuity due = $PMT \times \left[ \frac{1 - (1+i)^{-n}}{i} \right] \times (1+i)$
$= 55,000 \times \left[ \frac{1 - (1.020833)^{-60}}{0.020833} \right] \times (1.020833)$
$= 55,000 \times [34.787] \times 1.020833 \approx \text{Tk. } 1,950,568$
Advice: ITC should choose **Strategy 2**. Its present value of approximately **Tk. 1,950,568** is significantly higher than the present value of Strategy 1 (**Tk. 1,762,900**), representing a greater value for the company today.
Problem Statement: ECRI Corporation is a holding company with four main subsidiaries. The percentage of its capital invested in each of the subsidiaries, and their respective betas, are as follows: Subsidiary, Percentage of Capital, Beta. Electric utility: 60%, 0.70. Cable company: 25%, 0.90. Real estate development: 10%, 1.30. International/special projects: 5%, 1.50. Required: (i) What is the holding company’s beta? (ii) If the risk-free rate is 6 percent and the market risk premium is 5 percent, what is the holding company’s required rate of return? (iii) ECRI is considering a change in its strategic focus; it will reduce its reliance on the electric utility subsidiary, so the percentage of its capital in this subsidiary will be reduced to 50 percent. At the same time, it will increase its reliance on the international/special projects division, so the percentage of its capital in that subsidiary will rise to 15 percent. What will the company’s required rate of return be after these changes?
Solution:
i. Holding company's beta:
The beta of a portfolio (or holding company) is the weighted average of the betas of its individual components.
$\beta_{ECRI} = (0.60 \times 0.70) + (0.25 \times 0.90) + (0.10 \times 1.30) + (0.05 \times 1.50)$
$= 0.42 + 0.225 + 0.13 + 0.075 = 0.85$
The holding company's beta is **0.85**.
ii. Holding company's required rate of return:
Using the CAPM formula:
$k_e = 6\% + 0.85 \times 5\% = 6\% + 4.25\% = 10.25\%$
The holding company's required rate of return is **10.25%**.
iii. Required rate of return after strategic change:
We need to recalculate the portfolio beta with the new weights. The weights for the cable company and real estate development subsidiaries remain the same.
New weight for Electric utility = 50% = 0.50
New weight for International/special projects = 15% = 0.15
Weights for Cable company and Real estate = $1 - 0.50 - 0.15 = 0.35$.
We are not given a new breakdown for the remaining 35%. We can assume the proportions remain the same for the other two.
Original combined weight = $0.25+0.10 = 0.35$. So the proportions remain the same.
New weight of Cable = $0.25 \times \frac{0.35}{0.35} = 0.25$. New weight of Real estate = $0.10 \times \frac{0.35}{0.35} = 0.10$.
New portfolio beta = $(0.50 \times 0.70) + (0.25 \times 0.90) + (0.10 \times 1.30) + (0.15 \times 1.50)$
$= 0.35 + 0.225 + 0.13 + 0.225 = 0.93$
New required rate of return = $6\% + 0.93 \times 5\% = 6\% + 4.65\% = 10.65\%$
The company's new required rate of return will be **10.65%**.
Question 5: Capital Rationing, ARR & WACC
Problem Statement: 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. (ii) Distinguish between soft capital rationing and hard capital rationing giving an example each. (iii) Discuss the uses and limitations of capital rationing.
Solution:
i. Explanation of capital rationing:
Capital rationing is the practice of restricting the amount of new investments or projects a firm undertakes to a certain budget, even if there are more projects with a positive Net Present Value (NPV) that could be accepted. This is typically done when a firm has a limited amount of capital to invest.
ii. Soft vs. Hard capital rationing:
- **Soft Capital Rationing:** This occurs when a firm's management voluntarily sets a limit on the amount of capital to be invested. This might be due to a desire to maintain a stable debt-to-equity ratio or to avoid taking on too many new projects at once to prevent overstretching management capacity.
**Example:** A company's CEO decides to limit the capital budget for new projects to Tk. 10 million for the year, even though the company has access to more funds at a reasonable cost.
- **Hard Capital Rationing:** This occurs when a firm is unable to raise additional capital, regardless of how many profitable projects it has. This can happen due to external factors, such as a credit crisis, economic recession, or if the firm has a poor credit rating.
**Example:** A small, unprofitable startup is unable to secure a bank loan or attract new investors to fund a promising new project because of its poor financial history.
iii. Uses and limitations:
- **Uses:** Capital rationing is used to enforce financial discipline, manage risk, and prevent over-expansion. It forces management to prioritize projects and choose only the most profitable ones, which can lead to a more efficient use of capital.
- **Limitations:** The primary limitation is that it may lead to the rejection of profitable projects (those with a positive NPV), which can reduce the firm's long-term value and growth potential. It can also lead to suboptimal decisions, as managers may choose a portfolio of smaller projects that fit within the budget, rather than a single, larger, and more valuable project.
Problem Statement: Sakura Limited uses the Accounting Rate of Return (ARR) as the basis of evaluating projects for investment of its scarce financial resources. It uses its predetermined expected return on capital as the basis for the choice of investment projects. The company’s Finance team has provided the information below regarding various projects and their initial investments and net cash flows. The hurdle rate or target Accounting Rate of Return for Sakura is 25%. Project, A (Tk.), B (Tk.), C (Tk.). Initial Investment: 1,000,000, 1,600,000, 2,000,000. Net Cash flows: Year 1: 600,000, 700,000, 800,000. Year 2: 500,000, 600,000, 600,000. Year 3: 400,000, 500,000, 500,000. Year 4: 300,000, 500,000, 400,000. Year 5: --, 400,000, --. Required: (i) Calculate the Accounting Rate of Return for each project (Average Investment basis). (ii) Using the target return of 25% advice Sakura Limited which projects should be undertaken.
Solution:
i. Accounting Rate of Return (ARR) for each project:
The formula for ARR on an average investment basis is: $ARR = \frac{\text{Average Annual Net Profit}}{\text{Average Investment}}$. To find the net profit, we must subtract the annual depreciation from the net cash flows.
- **Project A:**
Total Net Cash Flows = $600,000+500,000+400,000+300,000 = \text{Tk. } 1,800,000$
Average Annual Cash Flow = $\frac{1,800,000}{4} = \text{Tk. } 450,000$
Depreciation = $\frac{\text{Initial Investment}}{\text{Life}} = \frac{1,000,000}{4} = \text{Tk. } 250,000$
Average Annual Net Profit = $450,000 - 250,000 = \text{Tk. } 200,000$
Average Investment = $\frac{\text{Initial Investment}}{2} = \frac{1,000,000}{2} = \text{Tk. } 500,000$
$ARR_A = \frac{200,000}{500,000} = 0.40$ or $40\%$
- **Project B:**
Total Net Cash Flows = $700,000+600,000+500,000+500,000+400,000 = \text{Tk. } 2,700,000$
Average Annual Cash Flow = $\frac{2,700,000}{5} = \text{Tk. } 540,000$
Depreciation = $\frac{1,600,000}{5} = \text{Tk. } 320,000$
Average Annual Net Profit = $540,000 - 320,000 = \text{Tk. } 220,000$
Average Investment = $\frac{1,600,000}{2} = \text{Tk. } 800,000$
$ARR_B = \frac{220,000}{800,000} = 0.275$ or $27.5\%$
- **Project C:**
Total Net Cash Flows = $800,000+600,000+500,000+400,000 = \text{Tk. } 2,300,000$
Average Annual Cash Flow = $\frac{2,300,000}{4} = \text{Tk. } 575,000$
Depreciation = $\frac{2,000,000}{4} = \text{Tk. } 500,000$
Average Annual Net Profit = $575,000 - 500,000 = \text{Tk. } 75,000$
Average Investment = $\frac{2,000,000}{2} = \text{Tk. } 1,000,000$
$ARR_C = \frac{75,000}{1,000,000} = 0.075$ or $7.5\%$
ii. Advice to Sakura Limited:
Sakura Limited's target ARR is 25%. We should accept all projects whose ARR is equal to or greater than this hurdle rate.
- Project A's ARR (40%) is > 25% -> **Accept**
- Project B's ARR (27.5%) is > 25% -> **Accept**
- Project C's ARR (7.5%) is < 25% -> **Reject**
Sakura Limited should undertake **Projects A and B**.
Problem Statement: Beach Limited is into the provision of online conference call facilities which has become popular due to Covid-19. The company has 10 million issued shares currently at Tk. 50 each, 3 million preference shares trading at Tk. 25 each and 5,000 bonds also trading at Tk. 600 each. Required: (i) Calculate the capital structure of the company. (ii) How much should the company earn annually to achieve a return of 25% per annum on capital employed for equity holders if dividend rate on preference shares per annum is 20% and coupon on the bonds is 18%? Interest paid on debt is tax deductible and corporate tax rate is 25%.
Solution:
i. Capital structure of the company:
We first calculate the market value of each component of the capital structure.
Market Value of Equity = $10,000,000 \times 50 = \text{Tk. } 500,000,000$
Market Value of Preference Shares = $3,000,000 \times 25 = \text{Tk. } 75,000,000$
Market Value of Bonds = $5,000 \times 600 = \text{Tk. } 3,000,000$
Total Market Value of Capital = $500,000,000 + 75,000,000 + 3,000,000 = \text{Tk. } 578,000,000$
The capital structure, in terms of market value weights, is as follows:
- Weight of Equity: $\frac{500,000,000}{578,000,000} \approx 0.865$ or $86.5\%$
- Weight of Preference Shares: $\frac{75,000,000}{578,000,000} \approx 0.130$ or $13.0\%$
- Weight of Debt: $\frac{3,000,000}{578,000,000} \approx 0.005$ or $0.5\%$
The capital structure is approximately **86.5% equity, 13.0% preference shares, and 0.5% debt**.
ii. Annual earnings required:
We are asked to find the annual earnings required to achieve a **25% return on capital employed for equity holders**. This is different from a WACC calculation. We need to work backwards from the required return to find the required EBIT (Earnings Before Interest and Taxes).
Total Return on Equity = $0.25 \times 500,000,000 = \text{Tk. } 125,000,000$
After-tax earnings available to common shareholders (Net Income) must be Tk. 125,000,000.
First, we find the dividend payments on the preference shares and the interest payments on the bonds.
Preference dividend = $3,000,000 \times 25 \times 0.20 = \text{Tk. } 15,000,000$
Interest on bonds = $3,000,000 \times 0.18 = \text{Tk. } 540,000$
Total earnings after tax must cover the preference dividends and the required return for equity holders.
Earnings After Tax (EAT) = Return on Equity + Preference Dividend
$EAT = 125,000,000 + 15,000,000 = \text{Tk. } 140,000,000$
Since EAT = $(EBIT - \text{Interest}) \times (1-T)$, we can rearrange this to solve for EBIT.
$EBIT - \text{Interest} = \frac{EAT}{1-T} = \frac{140,000,000}{1-0.25} = \frac{140,000,000}{0.75} \approx \text{Tk. } 186,666,667$
$EBIT = 186,666,667 + \text{Interest} = 186,666,667 + 540,000 = \text{Tk. } 187,206,667$
The company should earn approximately **Tk. 187.21 million** annually.
Question 6: Public Listing, Leasing & Valuation
Problem Statement: The Dhaka Stock Exchange (DSE) market has recently been intensifying its public education for Bangladeshi companies to list on the stock market to raise the needed capital for expansion and growth. You have been approached by owners of RANGSgroup who have expressed interest in getting listed on the stock market but has limited knowledge on what they stand to benefit by listing their company on the market. Required: Explain FOUR (4) advantages RANGS group could derive from listing on DSE.
Solution:
Listing on a stock exchange like the DSE, also known as an Initial Public Offering (IPO), can provide several significant benefits to a company like RANGSgroup.
- **Access to Capital:** An IPO provides the company with access to a much larger and more diverse pool of investors, allowing it to raise a significant amount of capital to fund expansion, research and development, or to pay off existing debt. This can be more cost-effective and flexible than relying on traditional bank loans.
- **Enhanced Reputation and Credibility:** Being a publicly listed company on a major stock exchange like the DSE can significantly enhance a company's public image, reputation, and credibility. This can help attract new customers, partners, and talent, as well as facilitate future financing.
- **Liquidity for Shareholders:** An IPO provides a liquid market for the shares of the company. This means that existing shareholders (such as the founders and early investors) can easily sell their shares and realize the value of their investment. This can be a key exit strategy and a powerful incentive for investors.
- **Improved Employee Incentives:** Publicly listed companies can use stock-based compensation (e.g., stock options, employee stock purchase plans) to attract and retain top talent. These incentives can align the interests of employees with those of the shareholders, motivating them to work towards increasing the company's value.
Problem Statement: High electricity costs have made Farmer Corporation’s chicken-plucking machine economically worthless. Only two machines are available to replace it. The International Plucking Machine (IPM) model is available only on a lease basis. The lease payments will be Tk. 80,000 for five years, due at the beginning of each year. This machine will save Farmer Tk. 29,000 per year through reductions in electricity costs. As an alternative, Farmer can purchase a more energy-efficient machine from Basic Machine Corporation (BMC) for Tk. 365,000. This machine will save Tk. 32,000 per year in electricity costs. A local bank has offered to finance the machine with a Tk. 365,000 loan. The interest rate on the loan will be 10 percent on the remaining balance and will require five annual principal payments of Tk. 73,000. Farmer has a target debt-to-asset ratio of 67 percent. Farmer is in the 34 percent tax bracket. After five years, both machines will be worthless. The machines will be depreciated on a straight-line basis. Required: Should Farmer lease the IPM machine or purchase the more efficient BMC machine?
Solution:
We will compare the two options (Lease vs. Buy) by calculating the Net Present Value (NPV) of each. The discount rate for both options is the after-tax cost of debt.
Cost of Debt = 10%. Tax Rate = 34%.
After-tax cost of debt = $10\% \times (1 - 0.34) = 6.6\%$
Option 1: Lease the IPM machine
The cash flows for the lease option are the after-tax lease payments and the after-tax savings from the machine's operation.
After-tax lease payment (annuity due) = $80,000 \times (1-0.34) = \text{Tk. } 52,800$
After-tax savings = $29,000 \times (1-0.34) = \text{Tk. } 19,140$
NPV = PV of Savings - PV of Payments
The lease payments are an annuity due over 5 years.
PV of Payments = $52,800 + 52,800 \times \left[ \frac{1 - (1.066)^{-4}}{0.066} \right] = 52,800 + 52,800 \times 3.424 \approx \text{Tk. } 233,639$
The savings are an ordinary annuity over 5 years.
PV of Savings = $19,140 \times \left[ \frac{1 - (1.066)^{-5}}{0.066} \right] = 19,140 \times 4.198 \approx \text{Tk. } 80,359$
$NPV_{Lease} = 80,359 - 233,639 = \text{Tk. } -153,280$
The NPV of the lease option is approximately **Tk. (153,280)**.
Option 2: Purchase the BMC machine
Initial cost = Tk. (365,000)
Depreciation (straight-line) = $\frac{365,000}{5} = \text{Tk. } 73,000$ per year.
Depreciation tax shield = $73,000 \times 0.34 = \text{Tk. } 24,820$ per year.
After-tax savings = $32,000 \times (1 - 0.34) = \text{Tk. } 21,120$ per year.
NPV of Buying = $-365,000 + \sum_{t=1}^5 \frac{(\text{Savings} + \text{Dep. Tax Shield})}{(1.066)^t}$
$NPV_{Buy} = -365,000 + (21,120 + 24,820) \times \left[ \frac{1 - (1.066)^{-5}}{0.066} \right]$
$= -365,000 + 45,940 \times 4.198 \approx -365,000 + 192,866 = \text{Tk. } -172,134$
The NPV of the purchase option is approximately **Tk. (172,134)**.
Conclusion:
Both options result in a negative NPV, which means neither should be undertaken. However, if Farmer Corporation must replace the machine, the **lease option is marginally better** as it has a lower negative NPV ($-153,280$ vs. $-172,134$).
Problem Statement: Panama Limited is in advanced negotiation with shareholders of Zeal Limited to acquire 70% shares in that company. The following financial information is provided for Zeal Limited: Number of ordinary shares = 20 million, Net assets per share = Tk. 8, Earnings per share = Tk. 15, Price Earnings ratio (P/E) = 10 times. The Finance Director who performed a due diligence review recommended the following: 1. Fixed assets included in the net assets were overstated by Tk. 6 million. 2. A key customer who owes Tk. 4 million has gone bankrupt and debt considered irrecoverable. 3. A provision of Tk. 10 million is made for a tax liability. 4. Panama Limited's cost of capital is 16% and risk premium of 4% is added in the valuation of Zeal Limited to take care of additional operational risk. 5. The Finance manager provided a statement showing projected cash inflows for the next 5 years as follows: Year, (Tk.): 1: 125 million, 2: 60 million, 3: 150 million, 4: 200 million, 5: 110 million. Required: Advise shareholders of Panama Limited on how much to pay for 70% of the shares of Zeal Limited using the following valuation methods: (i) Price Earnings (P/E) ratio (ii) Balance sheet valuation basis (iii) Cash flow valuation
Solution:
We will calculate the value of 100% of Zeal Limited and then take 70% of that value to advise on the purchase price.
i. P/E Ratio Valuation:
Value = EPS $\times$ P/E Ratio $\times$ Number of Shares
Value = $15 \times 10 \times 20,000,000 = \text{Tk. } 3,000,000,000$
Purchase price for 70% = $3,000,000,000 \times 0.70 = \text{Tk. } 2,100,000,000$
Using the P/E ratio, the price to pay for 70% of the shares is **Tk. 2.1 billion**.
ii. Balance Sheet Valuation Basis:
First, we find the total net assets before any adjustments.
Book Value of Equity = Net assets per share $\times$ Number of shares = $8 \times 20,000,000 = \text{Tk. } 160,000,000$
Now, we apply the due diligence adjustments.
Value of Net Assets = Book Value of Equity - Overstated Fixed Assets - Irrecoverable Debt - Tax Provision
= $160,000,000 - 6,000,000 - 4,000,000 - 10,000,000 = \text{Tk. } 140,000,000$
Purchase price for 70% = $140,000,000 \times 0.70 = \text{Tk. } 98,000,000$
Using the balance sheet valuation, the price to pay for 70% of the shares is **Tk. 98 million**.
iii. Cash Flow Valuation:
We find the present value of the projected cash inflows. The discount rate is the company's cost of capital plus the additional risk premium.
Discount Rate = $16\% + 4\% = 20\%$
PV = $\frac{125}{(1.20)^1} + \frac{60}{(1.20)^2} + \frac{150}{(1.20)^3} + \frac{200}{(1.20)^4} + \frac{110}{(1.20)^5}$
$= 104.17 + 41.67 + 86.81 + 96.45 + 44.29 = \text{Tk. } 373.39 \text{ million}$
Purchase price for 70% = $373,390,000 \times 0.70 = \text{Tk. } 261,373,000$
Using the cash flow valuation, the price to pay for 70% of the shares is approximately **Tk. 261.37 million**.
Advice to Shareholders:
The three methods provide a wide range of values: Tk. 2.1 billion (P/E), Tk. 98 million (Balance Sheet), and Tk. 261.37 million (Cash Flow). The P/E and Cash Flow methods are typically more forward-looking and thus more relevant for an acquisition decision. The balance sheet method is more of a liquidation value. The P/E ratio of 10 times with an EPS of Tk. 15 may be too simplistic and not fully reflect the risks. The cash flow valuation, which accounts for the cost of capital and risk, provides the most robust valuation. Therefore, the shareholders should consider paying a price that is closer to the cash flow valuation, likely around **Tk. 261.37 million** for 70% of the shares.
Question 7: Dividend Policy, Credit Policy & Hedging
Problem Statement: A firm is in dilemma about two options of dividend policy (i) a stable dividend payment per share; (ii) a stable dividend-payout ratio. As a financial manager, which one would you recommend & why?
Solution:
As a financial manager, I would recommend a policy of **stable dividend payment per share**. This policy aims to maintain a constant or steadily increasing dividend over time, even if the firm's earnings fluctuate.
The primary reason for this recommendation is that a stable dividend payment provides a clear and positive signal to the market. Investors often view a stable dividend as an indication of a firm's financial health, management's confidence in future earnings, and a commitment to returning value to shareholders. This predictability can reduce investor uncertainty, attract a stable base of investors, and potentially lead to a higher and more stable stock price. While a stable payout ratio may sound logical, it can result in volatile dividend payments that confuse investors and can be a sign of financial instability. A stable dividend policy, on the other hand, prioritizes investor relations and market stability over a rigid link between dividends and short-term earnings.
Problem Statement: Best Electronics Limited is a wholesale distributor of household electrical products of major electronic brands. The company currently sells on credit to all its customers. Although the credit term is net 20 days, the receivables turnover days has been 15 days. The company’s annual credit sales revenue is Tk. 80 million, and its contribution margin ratio is 30%. Bad debt is 2% of sales revenue, and credit collection cost is Tk. 50,000 per annum. Management is considering extending the credit period to net 30 days. It is expected that the implementation of this proposal would attract new customers, and the annual revenue would increase by 20%. It is also expected that both the existing and the new customers will probably take the full 30 days credit. To mitigate the probable lengthening in the receivables turnover days, management proposes that the extension in the credit period be combined with the introduction of a cash discount policy of 2% on all payments made within the first 10 days of the credit period. It is expected that 30% of all customers will pay their accounts early to take the discount. Consequently, the receivables turnover days would increase to 24 days. While the bad debt will remain at 2% of sales revenue, the annual credit collection cost will increase to Tk. 65,000. The company’s cost of capital is 24%. Required: Evaluate the proposed change in the credit policy and recommend whether the proposed change should be implemented.
Solution:
We need to compare the incremental costs and benefits of the proposed credit policy change to determine if it is worthwhile.
Current Policy:
Sales = Tk. 80 million
Contribution Margin = $80,000,000 \times 0.30 = \text{Tk. } 24,000,000$
Bad Debt = $80,000,000 \times 0.02 = \text{Tk. } 1,600,000$
Collection Cost = Tk. 50,000
Receivables Investment = $\frac{80,000,000 \times (1-0.30)}{365} \times 15 = \text{Tk. } 2,301,370$
Cost of Investment = $2,301,370 \times 0.24 = \text{Tk. } 552,329$
Proposed Policy:
New Sales = $80,000,000 \times 1.20 = \text{Tk. } 96,000,000$
New Bad Debt = $96,000,000 \times 0.02 = \text{Tk. } 1,920,000$
New Collection Cost = Tk. 65,000
New Receivables Investment = $\frac{96,000,000 \times (1-0.30)}{365} \times 24 = \text{Tk. } 4,402,192$
New Cost of Investment = $4,402,192 \times 0.24 = \text{Tk. } 1,056,526$
Cash Discounts = $96,000,000 \times 0.30 \times 0.02 = \text{Tk. } 576,000$
Incremental Analysis:
Incremental Sales = $96,000,000 - 80,000,000 = \text{Tk. } 16,000,000$
Incremental Contribution Margin = $16,000,000 \times 0.30 = \text{Tk. } 4,800,000$
Incremental Bad Debt = $1,920,000 - 1,600,000 = \text{Tk. } 320,000$
Incremental Collection Cost = $65,000 - 50,000 = \text{Tk. } 15,000$
Incremental Cost of Receivables Investment = $1,056,526 - 552,329 = \text{Tk. } 504,197$
Incremental Cash Discounts = Tk. 576,000
Net Incremental Profit = Incremental CM - Incremental Bad Debt - Incremental Collection Cost - Incremental Cost of Receivables - Incremental Cash Discounts
= $4,800,000 - 320,000 - 15,000 - 504,197 - 576,000 = \text{Tk. } 3,384,803$
Recommendation: Since the net incremental profit is positive, the proposed change should be **implemented**.
Problem Statement: Home Decor Limited, a trading company based in Bangladesh, usually buys foreign currency to settle invoices for imports. The Treasury Manager is considering ways of hedging the company’s foreign currency risk exposures. After considering various options available to her, she has settled on both forwards and futures contract. Required: Explain advantages of currency forwards over currency futures contract.
Solution:
While both currency forwards and futures are used for hedging foreign exchange risk, a currency forward contract offers distinct advantages over a currency futures contract, particularly for a company like Home Decor Limited.
- **Customization:** A forward contract is a private agreement between two parties. This allows the contract to be customized to the exact amount and maturity date needed by the company, matching the value of the import invoice. Futures contracts, in contrast, are standardized in terms of size and maturity, which may result in a company being over- or under-hedged.
- **Flexibility in Delivery:** A forward contract can be settled by physical delivery of the currency or through cash settlement. Futures contracts, being standardized, usually involve a cash settlement. This flexibility is beneficial if the company needs to physically receive the foreign currency to pay for its imports.
- **No Margin Requirements:** Futures contracts are traded on exchanges and require a daily margin to be maintained. This means a company might have to post additional collateral if the market moves against it, creating a cash flow strain. Forward contracts, being over-the-counter, do not have a daily margin requirement.