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GNDU QUESTION PAPERS 2023
BBA 4
th
SEMESTER
BBA-403: FINANCIAL MANAGEMENT
Time Allowed: 3 Hours Maximum Marks: 50
Note: Aempt Five quesons in all, selecng at least One queson from each secon. The
Fih queson may be aempted from any secon. All quesons carry equal marks.
SECTION-A
1. What is meant by the term Wealth Maximizaon ? How is it superior to the objecve of
prot maximizaon? Discuss
2. Explain the various factors inuencing capital structure of an organizaon.
SECTION-B
3. Discuss the various long term sources of nance which a company can use to raise
funds.
4.(a)
A rm's aer-tax cost of capital of the specic sources is as follows:
Cost of debt = 8 percent
Cost of preference shares (including dividend tax) = 14 percent
Cost of equity funds = 17 percent
(b). The following is the capital structure:
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Source
Amount (₹)
Debt
3,00,000
Preference capital
2,00,000
Equity capital
5,00,000
Total
10,00,000
(c).Calculate the weighted average cost of capital, k₀, using book value weights.
SECTION – C
5.Discuss the irrelevance concept of dividends. Jusfy your answer with the help of
suitable theories.
6. XYZ Limited has given the following possible cash inows for two of their projects ‘X’
and ‘Y’ out of which they wish to undertake one together with their associated
probabilies. Both the projects will require an equal investment of Rs. 5,000. Find out
which project is more risky by adopng standard deviaon approach:
Data Table
Possible
Event
Project ‘X’ Cash
Inows (₹)
Probability
Project ‘Y’ Cash
Inows (₹)
Probability
A
4,000
0.10
12,000
0.10
B
5,000
0.20
10,000
0.15
C
6,000
0.40
8,000
0.50
D
7,000
0.20
6,000
0.15
E
8,000
0.10
4,000
0.10
SECTION – D
7.Explain the dierent concepts of working capital. When is a rm conservave or
aggressive while nancing its current assets? Illustrate.
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8.Describe the term leverage. How is operang leverage dierent from nancial leverage?
GNDU Answer PAPERS 2023
BBA 4
th
SEMESTER
BBA-403: FINANCIAL MANAGEMENT
Time Allowed: 3 Hours Maximum Marks: 50
Note: Aempt Five quesons in all, selecng at least One queson from each secon. The
Fih queson may be aempted from any secon. All quesons carry equal marks.
SECTION-A
1. What is meant by the term Wealth Maximizaon ? How is it superior to the objecve of
prot maximizaon? Discuss
Ans: Imagine you start a small business. At the end of the year, you earn ₹1,00,000 profit.
Sounds great, right? But now think deeperdoes this profit really show how valuable your
business has become? What if you took huge risks, delayed payments, or ignored long-term
growth just to earn that profit?
This is where the concept of Wealth Maximization comes in.
1. What is Wealth Maximization?
Wealth Maximization means increasing the overall value of the business for its owners
(shareholders).
In simple words:
󷷑󷷒󷷓󷷔 It focuses on increasing the market value of shares (or business value), not just earning
short-term profit.
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So instead of asking:
󽆱 How much profit did we earn this year?
It asks:
󷄧󼿒 How much wealth did we create for the owners over time?
Key Idea
Wealth maximization considers:
Future profits
Risk involved
Time value of money (₹100 today is more valuable than ₹100 after 2 years)
2. Diagram to Understand Wealth Maximization
Here’s a simple conceptual diagram:
Wealth Maximization
┌──────────────────────────────┐
│ │ │
Future Cash Time Value Risk & Return
Flows of Money Balance
│ │ │
Long-term Discounting Safer + Profitable
Growth Focus Concept Decisions
󷷑󷷒󷷓󷷔 This shows that wealth maximization is not just about profitit includes multiple factors
that affect real value.
3. What is Profit Maximization?
Before comparing, let’s quickly understand this.
Profit Maximization means earning the highest possible profit in a given period.
It focuses only on:
Total revenue total cost
Short-term financial gains
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Example
A company may:
Cut quality
Delay maintenance
Ignore employee welfare
Just to increase profit quickly.
But in the long run, this can damage the business.
4. Why Wealth Maximization is Better (Superiority)
Now let’s compare both in a simple and practical way.
(1) Time Value of Money
Profit Maximization: Ignores timing
Wealth Maximization: Considers timing
󷷑󷷒󷷓󷷔 Example:
₹1,00,000 today is better than ₹1,00,000 after 2 years.
Wealth maximization uses this idea to make better decisions.
(2) Focus on Long-Term Growth
Profit Maximization: Short-term thinking
Wealth Maximization: Long-term vision
󷷑󷷒󷷓󷷔 A company focusing on wealth:
Invests in technology
Builds brand value
Maintains quality
This increases future value.
(3) Risk Consideration
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Profit Maximization: Ignores risk
Wealth Maximization: Balances risk and return
󷷑󷷒󷷓󷷔 Example:
Two projects give ₹1,00,000 profit
But one is risky and the other is safe
Wealth maximization chooses the safer and stable one.
(4) Improves Shareholder Value
Profit Maximization: May not increase share price
Wealth Maximization: Directly increases share value
󷷑󷷒󷷓󷷔 Investors care about:
Dividends
Share price growth
Wealth maximization focuses on both.
(5) Scientific and Practical Approach
Profit Maximization: Vague (no clear definition of “maximum”)
Wealth Maximization: Uses financial tools like:
o Discounted Cash Flow (DCF)
o Net Present Value (NPV)
󷷑󷷒󷷓󷷔 So it is more accurate and measurable.
5. Simple Comparison Table
Basis
Wealth Maximization
Focus
Long-term value
Time Value
Considered
Risk
Considered
Decision Type
Balanced and scientific
Goal
Increase shareholder wealth
6. Real-Life Understanding
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Think of it like this:
Profit Maximization = Eating junk food for instant taste 󷌺󷌻󷍃󷌼󷌽󷍄󷌾󷌿󷍀󷍁󷍂
Wealth Maximization = Eating healthy for long-term fitness 󻐬󻐭󻐮󻐯󻐰󻐱󻐲󻐳󻐴󻐵󻐶
󷷑󷷒󷷓󷷔 Profit gives quick satisfaction
󷷑󷷒󷷓󷷔 Wealth gives sustainable growth
7. Conclusion
Wealth maximization is a modern and superior objective of business because it focuses on
overall value creation, not just short-term gains.
It considers:
Future income
Risk factors
Time value of money
That’s why today, most companies and financial managers follow wealth maximization as
their main goal.
Final Line to Remember
󷷑󷷒󷷓󷷔 “Profit is temporary, but wealth is long-term and sustainable.”
2. Explain the various factors inuencing capital structure of an organizaon.
Ans: 󷇮󷇭 What is Capital Structure?
Capital structure refers to the mix of debt and equity used by a company to finance its
operations and growth.
Debt: Borrowed funds (loans, bonds).
Equity: Owners’ funds (shares, retained earnings).
󷷑󷷒󷷓󷷔 The big question: What proportion of debt and equity should a company use?
󷈷󷈸󷈹󷈺󷈻󷈼 Factors Influencing Capital Structure
1. Cost of Capital
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Debt is usually cheaper than equity because interest is tax-deductible.
However, too much debt increases financial risk.
Companies balance debt and equity to minimize the overall cost of capital.
2. Risk Profile of the Company
Stable companies with predictable cash flows (like utilities) can afford more debt.
Risky companies (like startups) rely more on equity to avoid insolvency.
3. Cash Flow Position
Firms with strong, steady cash flows can service debt easily.
Companies with uncertain cash flows prefer equity to avoid fixed obligations.
4. Control Considerations
Issuing equity dilutes ownership and control.
Debt allows existing owners to retain control while raising funds.
Example: Family-owned businesses often prefer debt to avoid losing control.
5. Flexibility
Companies need flexibility to raise funds in the future.
Too much debt reduces borrowing capacity.
Balanced capital structure ensures flexibility.
6. Market Conditions
In booming markets, equity financing is easier (high share prices).
In recession, debt may be preferred if equity markets are weak.
7. Taxation Policy
Interest on debt is tax-deductible, making debt attractive.
Dividends on equity are not tax-deductible.
8. Nature of Business
Capital-intensive industries (steel, airlines) often use more debt.
Service industries (IT, consulting) rely more on equity.
9. Size of the Company
Large, established firms have easier access to debt markets.
Small firms may depend more on equity or retained earnings.
10. Regulatory Framework
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Government regulations may restrict debt levels in certain industries.
Example: Banking and insurance sectors have strict capital adequacy norms.
11. Investor Expectations
Some investors prefer stable dividends (equity).
Others prefer fixed interest income (debt).
Companies design capital structure to attract desired investors.
12. Cost of Issuing Securities
Issuing equity may involve high flotation costs.
Debt issuance may be cheaper and quicker.
󹵍󹵉󹵎󹵏󹵐 Diagram: Factors Influencing Capital Structure
Capital Structure
|
-------------------------------------------------
| | | |
Cost of Capital Risk Profile Cash Flow Control
| | | |
Market Conditions Tax Policy Nature of Flexibility
Business
| | | |
Size of Company Regulation Investor Cost of
Issuing
Expectations Securities
󷈷󷈸󷈹󷈺󷈻󷈼 Practical Examples
Utility Companies: Use more debt because of stable cash flows.
Tech Startups: Rely on equity since cash flows are uncertain and investors expect
growth.
Family Businesses: Prefer debt to avoid losing control.
Large Corporations: Use a mix of debt and equity to balance risk and return.
󷇮󷇭 RiskReturn Tradeoff
Capital structure decisions involve balancing risk and return:
More debt → Higher risk (fixed interest obligations) but higher return (tax benefits,
leverage).
More equity → Lower risk but lower return (no tax shield, dilution of ownership).
󷷑󷷒󷷓󷷔 The optimal capital structure minimizes cost of capital while maximizing shareholder
wealth.
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󷄧󼿒 Conclusion
Capital structure is influenced by multiple factors: cost of capital, risk profile, cash
flows, control, flexibility, market conditions, taxation, nature of business, size,
regulations, investor expectations, and cost of issuing securities.
Each company must design its capital structure based on its unique circumstances.
The ultimate goal is to strike a balance between risk and return, ensuring long-term
sustainability and maximizing shareholder wealth.
󷷑󷷒󷷓󷷔 In short: Capital structure is not a one-size-fits-all formula—it’s a strategic choice shaped
by many internal and external factors.
SECTION-B
3. Discuss the various long term sources of nance which a company can use to raise
funds.
Ans: When a company wants to growmaybe build a new factory, expand into new
markets, or buy heavy machineryit needs large amounts of money for a long period of
time. This is where long-term sources of finance come into play.
Think of it like building a house 󷩾󷩿󷪄󷪀󷪁󷪂󷪃. You don’t rely on pocket money—you need stable, long-
term funding. Similarly, companies use different long-term sources to raise funds that they
don’t have to repay quickly.
󹵍󹵉󹵎󹵏󹵐 Basic Idea (Simple Diagram)
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1. Equity Shares (Ownership Capital)
Imagine you start a company but don’t have enough money. So, you invite people to
investand in return, they become owners.
That’s exactly what equity shares are.
Investors buy shares → become part owners
They earn dividends (a share of profits)
They can vote in company decisions
Key Features:
No fixed repayment
High risk, high return
Permanent capital for the company
󷷑󷷒󷷓󷷔 Example: If a company grows, shareholders benefit greatly.
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2. Preference Shares (Priority Capital)
Now imagine another group of investors who say:
“We want safer returns and priority.”
These are preference shareholders.
What makes them special?
They get fixed dividends
Paid before equity shareholders
Priority in case of company closure
Types include:
Cumulative
Non-cumulative
Redeemable
󷷑󷷒󷷓󷷔 It’s like being a VIP investor—less risk, but also less control.
3. Debentures (Borrowed Capital)
Now suppose the company doesn’t want to give ownership. Instead, it borrows money from
the public.
This is done through debentures.
It’s like a loan certificate
Company pays fixed interest
Must repay after a certain period
Key Features:
No ownership rights
Lower risk for investors
Fixed obligation for company
󷷑󷷒󷷓󷷔 Think of it like taking a long-term loan from many people.
4. Retained Earnings (Internal Source)
Sometimes, the company doesn’t need external help. It uses its own profits.
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Instead of distributing all profits as dividends, it keeps some money aside. This is called
retained earnings.
Why is it useful?
No cost (no interest or dividend)
No loss of control
Easily available
󷷑󷷒󷷓󷷔 It’s like saving money from your salary for future use.
5. Term Loans (Bank Loans)
Companies often take loans from banks or financial institutions for long-term needs.
Features:
Fixed repayment schedule
Interest must be paid regularly
Requires security (collateral)
󷷑󷷒󷷓󷷔 Example: A company taking a 10-year loan to build a plant.
6. Public Deposits
Companies can directly accept deposits from the public.
People deposit money with the company
Company pays interest
Money is returned after a fixed period
Benefits:
Simple and flexible
No need for bank involvement
󷷑󷷒󷷓󷷔 It’s like the public lending money directly to the company.
7. Lease Financing
Instead of buying expensive equipment, companies can lease (rent) it.
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Example:
A company needs machinery worth ₹50 lakhs
Instead of buying, it pays rent regularly
Benefits:
Saves huge upfront cost
Useful for short-term or changing technology
8. Venture Capital
Startups often don’t have money or security. So they go to venture capitalists.
These investors:
Provide funds to risky but promising businesses
Expect high returns in the future
󷷑󷷒󷷓󷷔 Example: Many tech startups grow using venture capital.
9. Foreign Direct Investment (FDI)
Sometimes, companies receive funds from foreign investors.
Features:
Brings capital + technology
Helps in global expansion
󷷑󷷒󷷓󷷔 Example: A foreign company investing in an Indian company.
󼩏󼩐󼩑 Quick Summary Table
Source
Ownership
Risk Level
Cost
Equity Shares
Yes
High
No fixed cost
Preference Shares
Partial
Medium
Fixed dividend
Debentures
No
Low
Fixed interest
Retained Earnings
No
No risk
Free
Term Loans
No
Medium
Interest
Lease Financing
No
Low
Rent
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Venture Capital
Yes
High
Profit sharing
󷘹󷘴󷘵󷘶󷘷󷘸 Final Understanding
Long-term finance is like the backbone of a company’s growth. Each source has its own
advantages and disadvantages.
If a company wants control, it prefers loans or retained earnings
If it wants large funds without repayment pressure, it uses equity
If it wants balanced risk, it may combine different sources
󷷑󷷒󷷓󷷔 In real life, companies usually use a mix of all these sources to maintain stability and
growth.
4.(a)A rm's aer-tax cost of capital of the specic sources is as follows:
Cost of debt = 8 percent
Cost of preference shares (including dividend tax) = 14 percent
Cost of equity funds = 17 percent
(b). The following is the capital structure:
Source
Amount (₹)
Debt
3,00,000
Preference capital
2,00,000
Equity capital
5,00,000
Total
10,00,000
(c).Calculate the weighted average cost of capital, k₀, using book value weights.
Ans: 󷇮󷇭 What is Capital Structure?
Capital structure refers to the mix of debt and equity used by a company to finance its
operations and growth.
Debt: Borrowed funds (loans, bonds).
Equity: Owners’ funds (shares, retained earnings).
󷷑󷷒󷷓󷷔 The big question: What proportion of debt and equity should a company use?
󷈷󷈸󷈹󷈺󷈻󷈼 Factors Influencing Capital Structure
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1. Cost of Capital
Debt is usually cheaper than equity because interest is tax-deductible.
However, too much debt increases financial risk.
Companies balance debt and equity to minimize the overall cost of capital.
2. Risk Profile of the Company
Stable companies with predictable cash flows (like utilities) can afford more debt.
Risky companies (like startups) rely more on equity to avoid insolvency.
3. Cash Flow Position
Firms with strong, steady cash flows can service debt easily.
Companies with uncertain cash flows prefer equity to avoid fixed obligations.
4. Control Considerations
Issuing equity dilutes ownership and control.
Debt allows existing owners to retain control while raising funds.
Example: Family-owned businesses often prefer debt to avoid losing control.
5. Flexibility
Companies need flexibility to raise funds in the future.
Too much debt reduces borrowing capacity.
Balanced capital structure ensures flexibility.
6. Market Conditions
In booming markets, equity financing is easier (high share prices).
In recession, debt may be preferred if equity markets are weak.
7. Taxation Policy
Interest on debt is tax-deductible, making debt attractive.
Dividends on equity are not tax-deductible.
8. Nature of Business
Capital-intensive industries (steel, airlines) often use more debt.
Service industries (IT, consulting) rely more on equity.
9. Size of the Company
Large, established firms have easier access to debt markets.
Small firms may depend more on equity or retained earnings.
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10. Regulatory Framework
Government regulations may restrict debt levels in certain industries.
Example: Banking and insurance sectors have strict capital adequacy norms.
11. Investor Expectations
Some investors prefer stable dividends (equity).
Others prefer fixed interest income (debt).
Companies design capital structure to attract desired investors.
12. Cost of Issuing Securities
Issuing equity may involve high flotation costs.
Debt issuance may be cheaper and quicker.
󹵍󹵉󹵎󹵏󹵐 Diagram: Factors Influencing Capital Structure
Capital Structure
|
-------------------------------------------------
| | | |
Cost of Capital Risk Profile Cash Flow Control
| | | |
Market Conditions Tax Policy Nature of Flexibility
Business
| | | |
Size of Company Regulation Investor Cost of
Issuing
Expectations Securities
󷈷󷈸󷈹󷈺󷈻󷈼 Practical Examples
Utility Companies: Use more debt because of stable cash flows.
Tech Startups: Rely on equity since cash flows are uncertain and investors expect
growth.
Family Businesses: Prefer debt to avoid losing control.
Large Corporations: Use a mix of debt and equity to balance risk and return.
󷇮󷇭 RiskReturn Tradeoff
Capital structure decisions involve balancing risk and return:
More debt → Higher risk (fixed interest obligations) but higher return (tax benefits,
leverage).
More equity → Lower risk but lower return (no tax shield, dilution of ownership).
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󷷑󷷒󷷓󷷔 The optimal capital structure minimizes cost of capital while maximizing shareholder
wealth.
󷄧󼿒 Conclusion
Capital structure is influenced by multiple factors: cost of capital, risk profile, cash
flows, control, flexibility, market conditions, taxation, nature of business, size,
regulations, investor expectations, and cost of issuing securities.
Each company must design its capital structure based on its unique circumstances.
The ultimate goal is to strike a balance between risk and return, ensuring long-term
sustainability and maximizing shareholder wealth.
󷷑󷷒󷷓󷷔 In short: Capital structure is not a one-size-fits-all formula—it’s a strategic choice shaped
by many internal and external factors.
SECTION – C
5.Discuss the irrelevance concept of dividends. Jusfy your answer with the help of
suitable theories.
Ans: Irrelevance Concept of Dividends
Imagine you invest in a company. Now the company earns profit. It has two choices:
1. Pay you dividend (cash now)
2. Reinvest profits (grow business for future gains)
The big question is:
󷷑󷷒󷷓󷷔 Does it matter to investors whether they receive dividends now or later?
This is exactly what the Dividend Irrelevance Theory tries to answer.
󷈷󷈸󷈹󷈺󷈻󷈼 What is Dividend Irrelevance Theory?
The Dividend Irrelevance Theory was proposed by Modigliani and Miller (M-M).
󷷑󷷒󷷓󷷔 According to them:
“The value of a company is not affected by its dividend policy.”
In simple words:
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Whether a company pays dividend or not
Whether dividend is high or low
󷄧󽇄 It does NOT affect the shareholder’s wealth
󷘹󷘴󷘵󷘶󷘷󷘸 Basic Idea (Simple Understanding)
Let’s take an example:
You own shares worth ₹10,000
Company earns profit
Case 1: Company gives dividend
You get ₹1,000 dividend
Your share value becomes ₹9,000
󷷑󷷒󷷓󷷔 Total wealth = ₹1,000 + ₹9,000 = ₹10,000
Case 2: Company does NOT give dividend
Company reinvests profit
Share value increases to ₹11,000
󷷑󷷒󷷓󷷔 Total wealth = ₹11,000
󹲉󹲊󹲋󹲌󹲍 Conclusion:
In both cases, your wealth is almost the same.
That’s why dividends are said to be irrelevant.
󹵍󹵉󹵎󹵏󹵐 Diagram to Understand the Concept
Firm Earnings
┌────────────────┐
│ │
Dividends Paid Retained Earnings
│ │
Share Price Falls Share Price Increases
│ │
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└────────────────┘
Shareholder Wealth
(Same)
󷷑󷷒󷷓󷷔 This diagram shows:
Whether money goes as dividend or is retained
Final shareholder wealth remains unchanged
󹶆󹶚󹶈󹶉 Key Assumptions of M-M Theory
The theory works under some ideal conditions:
1. Perfect capital market
o No taxes
o No transaction costs
o Information is freely available
2. Rational investors
o Investors think logically
o They don’t prefer dividend over capital gain
3. No taxes difference
o Dividend and capital gain are taxed equally
4. No uncertainty
o Future profits are predictable
5. No flotation costs
o Issuing shares is cost-free
󷷑󷷒󷷓󷷔 These assumptions are very important.
Without them, the theory may not work properly.
󹺔󹺒󹺓 Homemade Dividend Concept
M-M introduced an interesting idea called:
󷷑󷷒󷷓󷷔 Homemade Dividend
If investors want cash but company doesn’t give dividend:
Investor can sell some shares
Create their own “dividend”
Similarly:
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If dividend is high but investor doesn’t need cash
They can reinvest it
󹲉󹲊󹲋󹲌󹲍 So, investors can adjust according to their needs.
󹵱󹵲󹵵󹵶󹵷󹵳󹵴󹵸󹵹󹵺 M-M Formula (Simple Form)
The value of a firm is calculated as:
Where:
= Current share price
= Dividend
= Future share price
= Cost of capital
󷷑󷷒󷷓󷷔 This formula shows:
Share value depends on earnings and risk
NOT on dividend policy
󽀼󽀽󽁀󽁁󽀾󽁂󽀿󽁃 Justification of the Theory
The theory is justified because:
1. Investor flexibility
o Investors can create their own dividend
2. Focus on investment decisions
o Company value depends on profitable projects
o Not on dividend payments
3. Wealth remains unchanged
o Dividend reduces share price
o Retention increases share price
4. No impact on firm value
o Only earnings and risk matter
󽆶󽆷 Criticism of Dividend Irrelevance Theory
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In real life, the theory is not fully practical.
󹼣 1. Taxes exist
Dividends and capital gains are taxed differently
󹼣 2. Transaction costs
Selling shares is not free
󹼣 3. Investor preferences
Some investors prefer regular income (dividends)
󹼣 4. Uncertainty
Future gains are not guaranteed
󹼣 5. Information asymmetry
Managers know more than investors
󷷑󷷒󷷓󷷔 Because of these reasons, dividends can matter in real life.
󼩏󼩐󼩑 Final Conclusion
The Dividend Irrelevance Theory tells us:
Dividend policy does not affect firm value
What really matters is:
o Company earnings
o Investment decisions
o Risk
󷷑󷷒󷷓󷷔 However, in practical life:
Dividends DO matter due to taxes, preferences, and uncertainty
󽆐󽆑󽆒󽆓󽆔󽆕 In One Line
“Dividends are irrelevant in theory, but relevant in real life.”
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6. XYZ Limited has given the following possible cash inows for two of their projects ‘X’
and ‘Y’ out of which they wish to undertake one together with their associated
probabilies. Both the projects will require an equal investment of Rs. 5,000. Find out
which project is more risky by adopng standard deviaon approach:
Data Table
Possible
Event
Project ‘X’ Cash
Inows (₹)
Probability
Project ‘Y’ Cash
Inows (₹)
Probability
A
4,000
0.10
12,000
0.10
B
5,000
0.20
10,000
0.15
C
6,000
0.40
8,000
0.50
D
7,000
0.20
6,000
0.15
E
8,000
0.10
4,000
0.10
Ans: 󷇮󷇭 Understanding the Problem
Investment required: ₹5,000 for both projects.
Cash inflows: Different possible outcomes with associated probabilities.
Objective: Compare riskiness of projects using standard deviation (a measure of
variability).
󷷑󷷒󷷓󷷔 In simple words: We want to see which project’s returns fluctuate more around the
average. The one with higher standard deviation is riskier.
󷈷󷈸󷈹󷈺󷈻󷈼 Step 1: Recall the Formula
For a probability distribution, the expected value (mean) and standard deviation are
calculated as:
󰇛󰇜 󰇛 󰇜
  󰇛 󰇜


󷈷󷈸󷈹󷈺󷈻󷈼 Step 2: Calculate Expected Cash Inflows
Project X
󰇛󰇜 󰇛 󰇜 󰇛 󰇜 󰇛 󰇜 󰇛 󰇜
󰇛 󰇜
     
󷷑󷷒󷷓󷷔 Mean inflow for Project X = ₹6,000
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Project Y
󰇛󰇜 󰇛 󰇜 󰇛 󰇜 󰇛 󰇜 󰇛 󰇜
󰇛 󰇜
     
󷷑󷷒󷷓󷷔 Mean inflow for Project Y = ₹8,000
󷈷󷈸󷈹󷈺󷈻󷈼 Step 3: Calculate Variance and Standard Deviation
Project X
󰇛󰇜  󰇛 󰇜
Event A:  󰇛 󰇜
  
Event B:  󰇛 󰇜
  
Event C:  󰇛 󰇜

Event D:  󰇛 󰇜
  
Event E:  󰇛 󰇜
  
󰇛󰇜 
󰇛󰇜  
󷷑󷷒󷷓󷷔 Standard deviation for Project X = ₹1,095
Project Y
󰇛󰇜  󰇛 󰇜
Event A:  󰇛 󰇜
  
Event B:  󰇛 󰇜
  
Event C:  󰇛 󰇜

Event D:  󰇛 󰇜
  
Event E:  󰇛 󰇜
  
󰇛󰇜 
󰇛󰇜  
󷷑󷷒󷷓󷷔 Standard deviation for Project Y = ₹2,098
󷈷󷈸󷈹󷈺󷈻󷈼 Step 4: Interpretation
Project X: Mean inflow ₹6,000, SD ₹1,095
Project Y: Mean inflow ₹8,000, SD ₹2,098
󷷑󷷒󷷓󷷔 Project Y has a higher average return but also much higher risk (greater variability).
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󹵍󹵉󹵎󹵏󹵐 Diagram: Risk Comparison
Risk (Standard Deviation)
|
| Project Y (SD ≈ 2098) → Higher Risk
|
| Project X (SD ≈ 1095) → Lower Risk
|
+--------------------------------------------------→ Return
(Mean)
X: ₹6000 Y: ₹8000
󷈷󷈸󷈹󷈺󷈻󷈼 Conclusion
Project X: Lower mean return, lower risk.
Project Y: Higher mean return, higher risk.
Using the standard deviation approach, Project Y is more risky because its cash
inflows fluctuate more widely around the mean.
󷷑󷷒󷷓󷷔 The choice depends on the company’s risk appetite:
If they want stability, choose Project X.
If they can tolerate risk for higher returns, choose Project Y.
SECTION – D
7.Explain the dierent concepts of working capital. When is a rm conservave or
aggressive while nancing its current assets? Illustrate.
Ans: Let’s imagine you run a small shop. Every day, you need money to buy goods, pay
workers, and manage expenses before you actually receive cash from customers. This day-
to-day money requirement is called working capital.
In simple words, working capital is the money a business needs to run its daily operations
smoothly.
󹼧 Different Concepts of Working Capital
There are mainly two important concepts of working capital:
1. Gross Working Capital
This refers to the total investment in current assets.
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󷷑󷷒󷷓󷷔 Current assets include:
Cash
Inventory (stock)
Debtors (money customers owe)
Short-term investments
󹵙󹵚󹵛󹵜 Formula:
Gross Working Capital = Total Current Assets
󷷑󷷒󷷓󷷔 Example:
If a firm has ₹5 lakh in cash, ₹3 lakh in stock, and ₹2 lakh receivable →
Gross Working Capital = ₹10 lakh
󽆤 This concept focuses on how much a firm has invested, not how it is financed.
2. Net Working Capital
This is the difference between current assets and current liabilities.
󷷑󷷒󷷓󷷔 Current liabilities include:
Creditors
Short-term loans
Bills payable
󹵙󹵚󹵛󹵜 Formula:
Net Working Capital = Current Assets Current Liabilities
󷷑󷷒󷷓󷷔 Example:
If current assets = ₹10 lakh and liabilities = ₹6 lakh
Net Working Capital = ₹4 lakh
󽆤 This shows the liquidity position of a business.
Visual Representation of Working Capital
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󹼧 Other Important Concepts
3. Permanent Working Capital
This is the minimum amount of working capital always required to keep the business
running.
󷷑󷷒󷷓󷷔 Even during slow periods, a business needs some stock, cash, etc.
󽆤 It is fixed and continuous.
4. Temporary (Variable) Working Capital
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This is the extra working capital needed during busy seasons.
󷷑󷷒󷷓󷷔 Example:
More stock during festivals
More production in peak demand
󽆤 It changes depending on business activity
Visual: Permanent vs Temporary Working Capital
󹼧 Conservative vs Aggressive Financing of Current Assets
Now comes the most important part of your question.
A business must decide how to finance its current assets:
Using long-term funds (safe but costly)
Or short-term funds (cheap but risky)
This decision leads to two approaches:
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󺮥 1. Conservative Approach
󷷑󷷒󷷓󷷔 In this approach:
The firm uses more long-term funds to finance current assets.
Even temporary needs may be financed by long-term sources.
󽆤 Features:
High safety
Low risk
Less chance of liquidity problems
󽆱 Disadvantage:
Expensive (long-term loans cost more)
󷷑󷷒󷷓󷷔 Example:
A company takes a long-term loan to maintain even seasonal stock → very safe but costly.
󹼣 2. Aggressive Approach
󷷑󷷒󷷓󷷔 In this approach:
The firm uses more short-term funds.
Even some permanent working capital is financed by short-term sources.
󽆤 Features:
Low cost
Higher profits
󽆱 Disadvantage:
High risk
Danger of not being able to repay short-term loans
󷷑󷷒󷷓󷷔 Example:
A company uses short-term loans to meet all working capital needs → cheap but risky.
󹼤 3. Moderate (Matching) Approach
󷷑󷷒󷷓󷷔 This is a balanced approach:
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Permanent working capital → financed by long-term funds
Temporary working capital → financed by short-term funds
󽆤 Best balance of risk and return
Visual: Financing Approaches
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󹼧 Simple Comparison Table
Approach
Risk Level
Cost Level
Financing Style
Conservative
Low
High
More long-term
Aggressive
High
Low
More short-term
Moderate
Medium
Medium
Balanced
󹼧 Final Understanding (In Simple Words)
Think of working capital like fuel in a car:
Gross Working Capital → Total fuel in the tank
Net Working Capital → Extra fuel after covering immediate needs
Permanent Working Capital → Minimum fuel always required
Temporary Working Capital → Extra fuel for long trips
And financing strategies:
Conservative → Always keep extra fuel (safe but costly)
Aggressive → Keep minimum fuel (cheap but risky)
Moderate → Keep just enough fuel (balanced)
󷄧󼿒 Conclusion
Working capital is the backbone of daily business operations. Understanding its concepts
helps firms maintain liquidity, avoid financial problems, and operate efficiently. The choice
between conservative and aggressive financing depends on a firm's risk-taking ability, cost
considerations, and business stability.
8.Describe the term leverage. How is operang leverage dierent from nancial leverage?
Ans: 󷇮󷇭 What is Leverage?
In business and finance, leverage means using fixed costs (either operating costs or financial
costs) to magnify the potential returns to shareholders.
Imagine leverage like a lever in physics: a small push can move a big object.
In finance, a small change in sales or earnings can cause a big change in profits
because of leverage.
󷷑󷷒󷷓󷷔 In simple words: Leverage is the ability of a company to use fixed costs to amplify profits
(but also losses).
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󷈷󷈸󷈹󷈺󷈻󷈼 Types of Leverage
There are two main types:
1. Operating Leverage arises from fixed operating costs.
2. Financial Leverage arises from fixed financial costs (like interest on debt).
󹺢 Operating Leverage
Definition
Operating leverage measures how sensitive a company’s operating profit (EBIT) is to
changes in sales.
If a company has high fixed costs (like rent, salaries, machinery depreciation), then
even a small increase in sales can lead to a large increase in EBIT.
But if sales fall, losses also magnify.
Formula



Where:
Contribution = Sales Variable Costs
EBIT = Earnings Before Interest and Taxes
Example
Company A has high fixed costs (factory rent, machinery).
Sales increase by 10%.
Because fixed costs don’t change, EBIT may increase by 30%.
This shows high operating leverage.
󷷑󷷒󷷓󷷔 Operating leverage is about the relationship between sales and operating profit.
󹺢 Financial Leverage
Definition
Financial leverage measures how sensitive a company’s net profit (EPS) is to changes in EBIT.
If a company uses debt, it must pay fixed interest.
A rise in EBIT increases EPS more sharply because interest is fixed.
But if EBIT falls, EPS drops drastically.
Formula
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


Where:
EBIT = Earnings Before Interest and Taxes
EBT = Earnings Before Taxes (EBIT Interest)
Example
Company B borrows heavily.
EBIT increases by 20%.
Because interest is fixed, EBT (and EPS) may increase by 40%.
But if EBIT falls, losses magnify.
󷷑󷷒󷷓󷷔 Financial leverage is about the relationship between operating profit and net profit to
shareholders.
󹵍󹵉󹵎󹵏󹵐 Diagram: Operating vs. Financial Leverage
Leverage
|
-------------------------------------------------
| |
Operating Leverage Financial
Leverage
| |
Fixed Operating Costs Fixed Financial
Costs
(Rent, Salaries, Depreciation) (Interest on
Debt)
| |
Sales → EBIT Impact EBIT → EPS
Impact
󷈷󷈸󷈹󷈺󷈻󷈼 Key Differences Between Operating and Financial Leverage
Aspect
Operating Leverage
Financial Leverage
Source
Fixed operating costs
Fixed financial costs (interest)
Focus
Sales → EBIT
EBIT → EPS
Risk
Type
Business risk
Financial risk
Example
Factory rent, machinery depreciation
Bank loans, bonds
Effect
Magnifies effect of sales on operating
profit
Magnifies effect of EBIT on shareholder
returns
󷇮󷇭 Combined Leverage
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When both operating and financial leverage exist, they combine to magnify the effect of
sales changes on EPS.
  
󷷑󷷒󷷓󷷔 This shows the total risk faced by shareholders.
󷈷󷈸󷈹󷈺󷈻󷈼 Practical Illustration
Company X: High operating leverage (lots of fixed costs, automated factory).
Company Y: High financial leverage (lots of debt).
If sales rise:
Company X’s EBIT rises sharply.
Company Y’s EPS rises sharply.
If sales fall:
Company X’s EBIT falls drastically.
Company Y’s EPS collapses due to fixed interest burden.
󷄧󼿒 Conclusion
Leverage is the use of fixed costs to magnify profits (and risks).
Operating leverage comes from fixed operating costs and affects EBIT.
Financial leverage comes from fixed financial costs and affects EPS.
Both are double-edged swords: they can boost profits when things go well, but they
can also magnify losses when things go wrong.
󷷑󷷒󷷓󷷔 In short: Operating leverage is about business risk, financial leverage is about financial
risk. Together, they determine how sensitive a company’s profits are to changes in sales.
This paper has been carefully prepared for educaonal purposes. If you noce any
mistakes or have suggesons, feel free to share your feedback.