FBS 210: Financial Management Study Guide (UP BCom Taxation)

This study guide provides comprehensive exam-oriented notes for FBS 210 Financial Management as offered at the University of Pretoria (UP) in the BCom Taxation programme. It is tailored to the way Financial Management links with Taxation, while also aligning with how similar modules are approached at South African universities such as UNISA (e.g. FIN2601, FAC3704) and CUT (Central University of Technology). The focus is on concepts, calculations and exam technique commonly tested in FBS 210 and similar “Financial Management 2”–level modules.

The guide emphasises core theory, detailed worked examples, formulae, and exam tips, especially for students who plan to continue into tax-oriented modules where understanding the time value of money, capital structure, cost of capital, and investment decisions is crucial. Use these notes together with past exam papers from UP’s FBS 210, related materials from UNISA FIN2601 and CUT FNM20B, and your prescribed textbook and tutorial letters.

1. Foundations of Financial Management in BCom Taxation

1.1 Role and Objective of Financial Management

At second-year level, FBS 210 at UP builds on introductory finance concepts and connects them to taxation, accounting and corporate law. Financial management focuses on how managers should make decisions about:

• Investment (capital budgeting / long-term projects)
• Financing (how to fund assets: equity vs debt)
• Dividend policy (how much cash to return to shareholders)
• Working capital (short-term assets and liabilities)

The primary financial objective in mainstream corporate finance is generally:

Maximisation of shareholder wealth, often measured by the market value of the company’s shares.

This is not the same as maximising accounting profit. Shareholder wealth:

• Considers timing of cash flows (R1 today ≠ R1 in 5 years).
• Adjusts for risk (riskier projects require higher returns).
• Focuses on cash flows, not just accounting earnings.
• Relies on market perceptions and information.

For students in BCom Taxation at UP, understanding shareholder wealth is crucial because:

• Tax policy and tax planning influence after-tax cash flows, which directly feed into project valuations and firm value.
• Many tax decisions (e.g. choice of depreciation/tax allowances, interest deductibility, choice of entity type) impact the cost of capital and the value of investment projects.

Typical exam-style questions in FBS 210 ask you to:

• Explain the wealth maximisation objective versus profit maximisation.
• Discuss the role of financial management in achieving firm objectives.
• Identify agency problems and mechanisms to align manager and shareholder interests.

1.2 The Financial Manager’s Environment

The financial manager operates within a network of stakeholders and constraints:

• Internal stakeholders: shareholders, board of directors, management, employees.
• External stakeholders: creditors, SARS, government regulators, suppliers, customers, unions, the broader public.

Key external frameworks relevant in South Africa include:

• Companies Act (company structures, directors’ duties, capital maintenance).
• Income Tax Act (corporate income tax, capital gains tax, VAT, withholding taxes).
• King IV Code on Corporate Governance (governance and ethics).
• JSE Listings Requirements (for listed entities).

For BCom Taxation students, note how tax law interacts with these:

• Interest expense on debt may be deductible, influencing the optimal capital structure.
• Capital allowances reduce taxable income, affecting project NPV.
• Dividends tax changes the effective return to shareholders, influencing dividend policy.

Exam question examples:

• “Discuss how the South African tax system may influence a company’s choice between debt and equity.”
• “Explain how corporate governance principles (e.g. King IV) impact financial decision-making in a listed company.”

1.3 Goals, Agency Theory, and Corporate Governance

Financial managers, particularly in large corporations, may not be the owners. This separation introduces agency theory problems:

• Agency relationship: Shareholders (principals) employ managers (agents) to run the company.
• Agency problem: Managers may pursue personal goals (e.g. empire-building, perks, short-term bonuses) rather than maximizing shareholder wealth.
• Agency costs: Monitoring costs (e.g. audits), bonding costs (e.g. incentive schemes), and residual loss from suboptimal decisions.

Mechanisms to align interests:

1. Incentive-based remuneration
   • Share options, share appreciation rights, performance bonuses linked to economic value added (EVA), return on capital employed, or total shareholder return.
2. Corporate governance
   • Independent board members, audit committees, remuneration committees, clear reporting.
3. Market for corporate control
   • Poorly performing firms may be taken over; underperforming managers risk losing their positions.
4. Regulation and disclosure
   • IFRS reporting, Companies Act requirements, integrated reporting, King IV compliance.

In FBS 210 exams you may be asked to:

• Define agency costs and give examples.
• Discuss how corporate governance can reduce agency problems.
• Comment on the potential conflicts of interest between shareholders and debt-holders.

1.4 Financial Management vs Accounting vs Taxation

Students often confuse the role of:

• Financial Accounting:

  • Historical, rule-based reporting.
  • Prepared according to IFRS for external users.
  • Focus: accurate representation of past transactions.

• Management Accounting:

  • Internal decision support.
  • Budgets, cost analysis, performance measurement.

• Financial Management / Corporate Finance (FBS 210):

  • Forward-looking decision-making tool.
  • Investment, financing and dividend decisions.
  • Uses accounting and tax data, but focuses on cash flows, risk and value.

• Taxation (BCom Taxation):

  • Application of tax law to determine taxable income and tax liability.
  • Focuses on compliance, planning, and minimisation of tax legally.
  • Directly changes after-tax cash flows used in financial management.

For example, when valuing a project:

1. Start with projected revenues and expenses (from accounting/management accounting).
2. Derive taxable income and tax (from tax rules).
3. Obtain after-tax cash flows.
4. Discount cash flows using an appropriate cost of capital (from corporate finance).

A typical FBS 210 style question may integrate these steps.

2. Time Value of Money and Discounted Cash Flow (DCF) Techniques

2.1 Core Concepts: Present Value, Future Value, and Interest

The time value of money (TVM) is a core pillar of FBS 210 and a frequent exam topic across South African modules like UNISA FIN2601 and CUT Financial Management. Key ideas:

• Present Value (PV): Value today of a future amount.
• Future Value (FV): Value in the future of a current amount.
• Interest rate (i): Rate at which money grows per period.
• Number of periods (n): Number of compounding intervals.
• Discount rate: Rate used to bring future cash flows back to present value.

Basic formulas (assuming annual compounding):

• Future value of a lump sum:
  [
  FV = PV (1 + i)^n
  ]

• Present value of a lump sum:
  [
  PV = \frac{FV}{(1 + i)^n}
  ]

• Future value of an annuity (ordinary):
  [
  FV_A = PMT \times \frac{(1 + i)^n – 1}{i}
  ]

• Present value of an annuity (ordinary):
  [
  PV_A = PMT \times \frac{1 – (1 + i)^{-n}}{i}
  ]

Where PMT is a constant payment per period.

Exam questions often test:

• Interpretation of opportunity cost of capital: the return foregone by investing in one project instead of another.
• Correct use of financial calculator or Excel functions.
• Distinguishing between nominal and effective rates.

2.2 Compounding, Discounting, and Effective Rates

Interest can be compounded in various ways:

• Annual compounding: Once per year.
• Semi-annual (m = 2), quarterly (m = 4), monthly (m = 12), etc.

If a nominal annual interest rate is r with m compounding periods, the effective annual rate (EAR) is:

[
EAR = \left(1 + \frac{r}{m}\right)^m – 1
]

Example: Nominal 12% p.a. compounded monthly (m = 12):

[
EAR = \left(1 + \frac{0.12}{12}\right)^{12} – 1 = (1.01)^{12} – 1 \approx 1.1268 – 1 = 0.1268 = 12.68%
]

Impact on present value:

• Higher EAR → higher discount rate → lower present value.
• Always convert to a consistent effective rate when evaluating projects.

Exam tip for FBS 210:

• Identify compounding frequency explicitly.
• If cash flows occur annually, use effective annual rate as discount rate.
• If cash flows occur monthly, convert everything to monthly terms, or convert the rate appropriately.

2.3 Annuities, Perpetuities, and Growing Cash Flows

Ordinary Annuity vs Annuity Due

• Ordinary annuity: Payments at the end of each period (e.g. typical bond coupons).
• Annuity due: Payments at the beginning of each period (e.g. some rental agreements).

Relationship:

[
PV_{\text{annuity due}} = PV_{\text{ordinary annuity}} \times (1 + i)
]

Example:

• R10 000 per year for 5 years at 10%, ordinary annuity:

[
PV_A = 10{,}000 \times \frac{1 – (1 + 0.10)^{-5}}{0.10} \approx 10{,}000 \times 3.7908 = R37{,}908
]

• As an annuity due:

[
PV_{AD} = 37{,}908 \times 1.10 = R41{,}699
]

Perpetuities

A perpetuity is an infinite series of equal cash flows. Present value:

[
PV_{\text{perpetuity}} = \frac{CF}{i}
]

Example: A preference share that pays R8 per year forever at a required return of 8%:

[
PV = \frac{8}{0.08} = R100
]

Growing Perpetuities and Growing Annuities

• Growing perpetuity: CF grows at constant rate g per period, forever:

[
PV = \frac{CF_1}{(i – g)} \quad \text{(where (CF_1) is first-period cash flow)}
]

• Growing annuity: CF grows at rate g for n periods:

[
PV = \frac{CF_1}{i – g} \left[1 – \left(\frac{1 + g}{1 + i}\right)^n \right]
]

These formulas are critical later in valuation of shares (dividend discount model), especially for FBS 210 topics on cost of equity and equity valuation.

2.4 Practical TVM Examples for FBS 210

Example 1: Financing Decision and TVM

A UP BCom Taxation student analyses a loan:

• Loan amount (PV) = R200 000
• Interest = 11% p.a., compounded monthly
• Term = 5 years = 60 months
• Monthly payment = ?

Monthly rate: ( i_m = 0.11 / 12 \approx 0.0091667 )

Use annuity formula:

[
PV = PMT \times \frac{1 – (1 + i_m)^{-60}}{i_m}
]

Solve for PMT:

[
PMT = 200{,}000 \times \frac{i_m}{1 – (1 + i_m)^{-60}}
]

Using a calculator or Excel:

• ( (1 + 0.0091667)^{-60} \approx (1.0091667)^{-60} \approx 0.574 )
• Denominator: ( 1 – 0.574 = 0.426 )
• ( PMT \approx 200{,}000 \times \frac{0.0091667}{0.426} \approx 200{,}000 \times 0.02152 \approx R4{,}304 ) per month (approximate).

Exam approaches:

• Show formula clearly.
• Indicate all relevant inputs (PV, i, n).
• If using a financial calculator, show keystrokes and state any rounding.

Example 2: Investment Project and Discounted Cash Flow

Project parameters:

• Initial investment: R500 000 (time 0, cash outflow).
• Expected annual before-tax cash inflows: R160 000 for 5 years.
• Corporate tax rate: 27%.
• Required return (cost of capital): 12% p.a. effective.
• Assume cash inflows are taxable and occur at year-end; ignore depreciation for simplicity.

Steps:

1. After-tax annual cash flow:

   • Tax on inflow = 27% of 160 000 = 43 200
   • After-tax inflow = 160 000 − 43 200 = R116 800

2. Present value of annuity of R116 800 for 5 years at 12%:

[
PV_A = 116{,}800 \times \frac{1 – (1 + 0.12)^{-5}}{0.12}
]

Compute factor:

• ( (1.12)^{-5} \approx 0.5674 )
• ( 1 – 0.5674 = 0.4326 )
• ( \frac{0.4326}{0.12} = 3.605 )

Thus:

[
PV_A \approx 116{,}800 \times 3.605 \approx R420{,}524
]

3. Net Present Value (NPV):

[
NPV = PV_{\text{inflows}} – PV_{\text{outflow}} = 420{,}524 – 500{,}000 = -R79{,}476
]

Interpretation: NPV is negative → project destroys shareholder wealth at a 12% required return; reject the project.

This example integrates time value of money and tax into a capital budgeting decision, typical of FBS 210 questions for BCom Taxation students.

2.5 Exam Tips for TVM Questions (UP FBS 210, UNISA FIN2601 Style)

• Always draw a timeline to visualise cash flows.
• Clearly distinguish between nominal and effective rates.
• Be consistent with periods (if using monthly rate, use monthly n).
• If in doubt, state assumptions (e.g. that payments occur at period-end).
• Leave intermediate calculations to at least 4–6 decimal places, then round final answers.
• Practise with past UP FBS 210 exam papers and UNISA FIN2601 assignments for similar styles of questions.

3. Capital Budgeting and Investment Decision Criteria

3.1 Capital Budgeting Overview

Capital budgeting involves evaluating long-term investment projects:

• Expansion projects (new factories, branches, product lines).
• Replacement projects (new machinery to replace old).
• Regulatory or environmental projects (safety equipment, compliance investment).

For BCom Taxation students in FBS 210, capital budgeting is critical because:

• It uses after-tax cash flows derived from tax rules.
• It interacts with depreciation allowances, wear-and-tear, investment incentives, etc.
• It feeds into tax planning and strategic decisions.

Capital budgeting typically follows these steps:

1. Identify investment opportunities.
2. Estimate relevant cash flows (incremental, after-tax).
3. Estimate the cost of capital (discount rate).
4. Apply decision rules (NPV, IRR, payback, etc.).
5. Select appropriate projects and implement.
6. Monitor performance and do post-audits.

3.2 Relevant vs Irrelevant Cash Flows

To correctly compute project cash flows:

Relevant (incremental) cash flows include:

• Additional revenues.
• Additional operating costs.
• Tax effects (income tax, capital gains tax).
• Changes in working capital (inventory, receivables, payables).
• Opportunity costs (e.g. using existing building that could be rented out).
• Terminal values (salvage value, working capital recovery).

Irrelevant cash flows include:

• Sunk costs (e.g. feasibility study already paid).
• Allocated overheads that do not change because of the project.
• Past expenditures not affected by current decision.

Exam-style question:

“Explain why sunk costs are ignored in capital budgeting decisions but opportunity costs are included.”

3.3 Net Present Value (NPV)

NPV is the primary decision criterion in modern finance:

[
NPV = \sum_{t=0}^{n} \frac{CF_t}{(1 + k)^t}
]

Where:

• ( CF_t ) = cash flow at time t (after tax, incremental).
• ( k ) = discount rate (cost of capital).
• ( n ) = project life.

Decision rule:

• If NPV > 0 → accept project (adds value).
• If NPV < 0 → reject project (destroys value).
• If NPV = 0 → indifferent (normally accept if project is strategic or has non-financial benefits).

Advantages:

• Considers all cash flows over project life.
• Adjusts for time value of money and risk.
• Directly measures increase in shareholder wealth.

3.4 Internal Rate of Return (IRR) and Modified IRR (MIRR)

IRR is the discount rate that makes NPV = 0:

[
0 = \sum_{t=0}^{n} \frac{CF_t}{(1 + IRR)^t}
]

Decision rule:

• If IRR > required return (cost of capital k) → accept.
• If IRR < k → reject.

Limitations of IRR:

• May give multiple IRRs if cash flows change sign more than once.
• Assumes reinvestment of interim cash flows at the IRR, which may be unrealistic.
• Can conflict with NPV for mutually exclusive projects (different sizes or timing).

Modified IRR (MIRR) addresses some issues by assuming reinvestment at the cost of capital:

1. Compute the future value of all positive cash flows reinvested at k until project end.
2. Compute the present value of all negative cash flows at time 0.
3. Find the rate that equates these:

[
MIRR = \left(\frac{FV_{\text{positive CFs}}}{|PV_{\text{negative CFs}}|}\right)^{1/n} – 1
]

MIRR tends to be better aligned with NPV decisions.

3.5 Payback Period and Discounted Payback

Payback period:

• Time required to recover the original investment from cash inflows.
• Procedure: accumulate cash inflows until they equal the initial outlay.

Example:

Initial outlay = R300 000
Year 1 inflow = R100 000
Year 2 inflow = R120 000
Year 3 inflow = R130 000

Cumulative inflow at end of:

• Year 1: 100 000
• Year 2: 220 000
• Year 3: 350 000

Payback period = 2 + (80 000 / 130 000) ≈ 2.62 years.

Discounted payback period:

• Same as payback, but using discounted cash flows.
• Still ignores cash flows after payback point.

Use:

• As a liquidity and risk measure (how quickly investment is recovered).
• Not a primary value-maximising criterion.

3.6 NPV vs IRR vs Payback: Exam Comparison

Students are often asked to contrast decision criteria:

Criterion	Considers TVM?	All Cash Flows?	Objective Link?	Main Weakness
NPV	Yes	Yes	Directly measures wealth creation	Requires estimate of cost of capital
IRR	Yes	Yes	Relative measure of return	Multiple IRRs, reinvestment assumption
Payback	No (basic)	No (ignores later CFs)	Simplicity, liquidity focus	Ignores TVM, arbitrary cutoff
Discounted Payback	Yes	No	Adds risk consideration	Still ignores late cash flows
MIRR	Yes	Yes	Better reinvestment assumption	Slightly more complex calculation

For FBS 210 exams and related UNISA and CUT modules, you may be required to:

1. Calculate NPV and IRR.
2. Rank projects.
3. Justify decision using NPV as the main criterion.
4. Comment on advantages and disadvantages of each method.

3.7 Comprehensive Capital Budgeting Example (With Tax for BCom Taxation)

A company in Pretoria evaluates a 4-year project:

• Initial cost: R800 000 (machinery), paid at t = 0.
• Residual/salvage value at t = 4: R100 000 (taxable as recoupment if above tax value).
• Expected before-tax operating cash inflows: R350 000 per year for 4 years.
• Operating expenses (cash) included in R350 000 figure.
• Machinery qualifies for wear-and-tear allowances of 25% per year on a straight-line basis over 4 years for tax (simplified).
• Corporate income tax rate: 27%.
• Cost of capital: 13% p.a.
• Assume all cash flows occur at year-end except initial outlay.

Step 1: Tax Depreciation (Wear-and-Tear) and Taxable Income

Let’s assume the machine’s tax base = R800 000, depreciated evenly:

• Annual tax allowance = R800 000 / 4 = R200 000 per year.

Taxable income each year:

[
\text{Taxable income} = \text{Before-tax inflow} – \text{tax allowance}
]

Year 1–4:

• Taxable income = 350 000 − 200 000 = R150 000 per year.
• Tax = 27% × 150 000 = R40 500.
• After-tax income = 150 000 − 40 500 = R109 500.

Add back non-cash tax depreciation to find cash flow:

[
CF_{\text{operating}} = \text{After-tax income} + \text{Tax allowance} = 109{,}500 + 200{,}000 = R309{,}500 \text{ per year}
]

Step 2: Terminal Cash Flow

At end of Year 4:

• Tax base reduced to zero (fully depreciated over 4 years).
• Salvage value = R100 000, fully taxable recoupment (since tax base is zero).
• Tax on recoupment = 27% × 100 000 = R27 000.
• After-tax salvage cash flow = 100 000 − 27 000 = R73 000.

Total Year 4 cash flow = operating cash flow + after-tax salvage:

[
CF_4 = 309{,}500 + 73{,}000 = R382{,}500
]

Step 3: NPV Calculation

Timeline:

• t = 0: −800 000
• t = 1: +309 500
• t = 2: +309 500
• t = 3: +309 500
• t = 4: +382 500

Discount rate k = 13%.

Present values:

Use discount factors:

• ( DF_1 = \frac{1}{(1.13)^1} ≈ 0.8850 )
• ( DF_2 = \frac{1}{(1.13)^2} ≈ 0.7832 )
• ( DF_3 = \frac{1}{(1.13)^3} ≈ 0.6939 )
• ( DF_4 = \frac{1}{(1.13)^4} ≈ 0.6139 )

Compute PVs:

• PV1 = 309 500 × 0.8850 ≈ R274 907.5
• PV2 = 309 500 × 0.7832 ≈ R242 975.4
• PV3 = 309 500 × 0.6939 ≈ R214 737.1
• PV4 = 382 500 × 0.6139 ≈ R234 423.75

Total PV of inflows:

[
PV_{\text{inflows}} ≈ 274{,}908 + 242{,}975 + 214{,}737 + 234{,}424 = R967{,}044 \text{ (rounded)}
]

NPV:

[
NPV = 967{,}044 – 800{,}000 = R167{,}044
]

Decision: NPV > 0 → Accept the project. It adds approximately R167 044 to shareholder wealth.

This type of full tax-based capital budgeting calculation is classic for UP FBS 210, UNISA FIN2601, and CUT FNM20B style exams, especially for BCom Taxation students.

4. Cost of Capital, Capital Structure and Leverage

4.1 Components of the Cost of Capital

The cost of capital is the required return on the firm’s average investments and forms the basis for discounting cash flows. For FBS 210:

• Cost of equity (k_e): Required return demanded by shareholders.
• Cost of debt (k_d): Market interest rate on debt, adjusted for tax.
• Weighted Average Cost of Capital (WACC): Weighted average of debt and equity costs.

The tax shield on interest is crucial for BCom Taxation students:

• Interest is usually tax deductible, reducing the effective cost of debt.
• Dividends are not tax deductible for the company, so do not reduce taxable income.

After-tax cost of debt:

[
k_d (1 – T_c)
]

Where:

• ( T_c ) = corporate income tax rate (27% in current SA context used here).

4.2 Cost of Equity: Dividend Growth Model and CAPM

Dividend Growth Model (DGM)

Used for companies paying stable, growing dividends:

[
k_e = \frac{D_1}{P_0} + g
]

Where:

• ( D_1 ) = expected dividend next period.
• ( P_0 ) = current share price.
• ( g ) = constant growth rate of dividends.

Example:

• Current share price ( P_0 ) = R40.
• Last dividend ( D_0 ) = R2.00.
• Dividends grow at g = 5% per year.

Then ( D_1 = 2.00 \times (1 + 0.05) = R2.10 ).

[
k_e = \frac{2.10}{40} + 0.05 = 0.0525 + 0.05 = 0.1025 = 10.25%
]

Limitations:

• Requires stable, predictable dividend policy.
• Sensitive to estimates of g and P0.

Capital Asset Pricing Model (CAPM)

Links required return to systematic risk (beta):

[
k_e = R_f + \beta (R_m – R_f)
]

Where:

• ( R_f ) = risk-free rate (e.g. yield on SA government bonds).
• ( R_m ) = expected market return.
• ( R_m – R_f ) = market risk premium.
• ( \beta ) = measure of a share’s sensitivity to market movements.

Example:

• ( R_f = 7% )
• ( R_m = 13% )
• ( \beta = 1.3 )

[
k_e = 0.07 + 1.3 (0.13 – 0.07) = 0.07 + 1.3 (0.06) = 0.07 + 0.078 = 0.148 = 14.8%
]

CAPM is widely used in practice and in FBS 210, UNISA FIN3701, and CUT finance modules.

4.3 Cost of Debt and Preference Shares

Cost of Debt

If a firm issues a plain vanilla bond:

• Face (par) value ( F ) = R1 000
• Coupon rate = 10% p.a. (annual coupon = R100)
• Market price ( P_d ) = R950
• Maturity = 5 years.

The before-tax cost of debt (yield to maturity) is the discount rate ( k_d ) that satisfies:

[
P_d = \sum_{t=1}^{5} \frac{100}{(1 + k_d)^t} + \frac{1{,}000}{(1 + k_d)^5}
]

Solving numerically or with a financial calculator might give ( k_d ≈ 11.3% ).

After-tax cost of debt for a corporate tax rate of 27%:

[
k_{d,\text{after-tax}} = k_d (1 – 0.27) = 0.113 \times 0.73 ≈ 8.25%
]

Cost of Preference Shares

Assuming irredeemable (perpetual) preference shares with fixed dividend ( D_p ):

[
k_p = \frac{D_p}{P_p}
]

Example:

• Dividend = R9 per year.
• Market price ( P_p = R90 ).

[
k_p = \frac{9}{90} = 0.10 = 10%
]

Preference share dividends are usually not tax-deductible for the company, so no tax adjustment on ( k_p ).

4.4 Weighted Average Cost of Capital (WACC)

WACC formula (market-value weights):

[
WACC = w_e k_e + w_p k_p + w_d k_d (1 – T_c)
]

Where:

• ( w_e, w_p, w_d ) = proportions of equity, preference shares, and debt in the firm’s market value capital structure.
• ( k_e, k_p, k_d ) = respective component costs.

Example:

Company capital structure (market values):

• Ordinary equity: R6 000 000
• Preference shares: R2 000 000
• Debt (bonds): R4 000 000
  Total = R12 000 000

Component costs (after analysis):

• ( k_e = 15% )
• ( k_p = 10% )
• Before-tax ( k_d = 9% ), tax rate 27%.

Compute weights:

• ( w_e = 6{,}000{,}000 / 12{,}000{,}000 = 0.50 )
• ( w_p = 2{,}000{,}000 / 12{,}000{,}000 = 0.1667 )
• ( w_d = 4{,}000{,}000 / 12{,}000{,}000 = 0.3333 )

After-tax cost of debt:

[
k_{d,\text{after-tax}} = 0.09 \times (1 – 0.27) = 0.09 \times 0.73 = 0.0657 = 6.57%
]

WACC:

[
WACC = 0.50(0.15) + 0.1667(0.10) + 0.3333(0.0657)
]

Compute:

• 0.50 × 0.15 = 0.075
• 0.1667 × 0.10 ≈ 0.01667
• 0.3333 × 0.0657 ≈ 0.0219

Total:

[
WACC ≈ 0.075 + 0.01667 + 0.0219 = 0.11357 = 11.36%
]

This is the discount rate for average-risk projects.

4.5 Capital Structure, Leverage and Tax Shields

Capital structure refers to the mix of debt and equity the firm uses. The use of debt introduces financial leverage:

• Debt is cheaper than equity (especially after-tax).
• Interest is tax-deductible → tax shield.
• However, too much debt increases financial risk and may lead to higher required returns by equity-holders.

Tax shield per period = interest expense × corporate tax rate.

Total value of tax shield (simplified perpetuity model):

If a firm plans to maintain permanent debt ( D ) at interest rate ( k_d ):

[
\text{Tax shield value} = T_c \times D
]

So, for ( D = R4 000 000 ), ( T_c = 27% ):

[
\text{Tax shield} = 0.27 \times 4{,}000{,}000 = R1{,}080{,}000
]

This is why debt can increase firm value, but only up to a point before expected costs of financial distress outweigh the tax benefits.

For BCom Taxation students, the interaction between tax law and capital structure is especially important:

• Changes in tax rates or interest deductibility rules can significantly alter the optimal debt level.
• Tax planning may focus on group financing, interest limitation rules, thin capitalisation, etc.

4.6 Worked Example: WACC for Project Appraisal (FBS 210 / UNISA style)

A firm in the UP BCom Taxation context considers a new project of average risk. It has the following target capital structure (market values):

• 60% ordinary equity
• 10% preference shares
• 30% debt

Component costs:

• ( k_e ) estimated using CAPM: 16%.
• ( k_p = 11% ).
• Debt: Before-tax cost = 10%. Corporate tax rate ( T_c = 27% ).

Compute WACC:

1. After-tax cost of debt:

[
k_{d,\text{after-tax}} = 0.10 \times 0.73 = 0.073 = 7.3%
]

2. Apply WACC formula:

[
WACC = 0.60(0.16) + 0.10(0.11) + 0.30(0.073)
]

• 0.60 × 0.16 = 0.096
• 0.10 × 0.11 = 0.011
• 0.30 × 0.073 = 0.0219

[
WACC = 0.096 + 0.011 + 0.0219 = 0.1289 = 12.89%
]

This 12.89% becomes the discount rate for evaluating new projects of similar risk. In an exam, you may calculate this and then apply it to a capital budgeting NPV question.

5. Working Capital Management and Exam Strategy for FBS 210 (UP BCom Taxation)

5.1 Nature and Importance of Working Capital

Working capital management focuses on short-term assets and liabilities:

• Current assets: cash, bank, inventory, trade receivables.
• Current liabilities: trade payables, short-term loans, accrued expenses.

Key measures:

• Net Working Capital (NWC):
  [
  NWC = \text{Current assets} – \text{Current liabilities}
  ]

A balance is needed:

• Too much NWC → funds tied up, lower return on assets.
• Too little NWC → liquidity problems, difficulty paying suppliers or creditors.

For BCom Taxation students:

• Working capital decisions affect VAT, timing of income and expense recognition, and interest deductibility on overdrafts or short-term loans.
• Efficient working capital management can reduce taxable interest expenses or change the timing of taxable income.

5.2 Cash Management and the Operating Cycle

The cash conversion cycle (CCC) measures time between cash outflow for inventory and cash inflow from receivables:

1. Inventory Conversion Period (ICP):
   [
   ICP = \frac{\text{Average inventory}}{\text{Cost of goods sold per day}}
   ]

2. Receivables Collection Period (DSO):
   [
   DSO = \frac{\text{Average trade receivables}}{\text{Credit sales per day}}
   ]

3. Payables Deferral Period (DPO):
   [
   DPO = \frac{\text{Average trade payables}}{\text{Credit purchases per day}}
   ]

Then:

[
CCC = ICP + DSO – DPO
]

A shorter CCC indicates more efficient working capital management.

Example:

• ICP = 50 days
• DSO = 30 days
• DPO = 40 days
• CCC = 50 + 30 − 40 = 40 days.

The firm’s cash is tied up for 40 days. Management can improve CCC by:

• Reducing inventory days (better stock control).
• Speeding up receivable collection.
• Negotiating longer payment terms with suppliers (higher DPO).

5.3 Inventory and Receivables Management

Inventory Management

Objective: Maintain sufficient inventory to meet demand while minimising holding and ordering costs.

Key concepts:

• Economic Order Quantity (EOQ) model.
• Safety stock to guard against uncertainty.
• Methods: Just-in-time (JIT), ABC classification.

Typical exam questions:

• Calculate EOQ.
• Analyse impact of changing order size on total costs.
• Discuss qualitative factors (stock-outs, discounts, reliability).

Receivables (Debtors) Management

Decisions include:

• Credit policy (credit period, discount for early payment).
• Credit standards (who qualifies for credit).
• Collection procedures (reminders, legal action).

Metrics:

• Average collection period (ACP) = trade receivables / average daily credit sales.
• Bad debt ratio.
• Ageing schedule of receivables.

For BCom Taxation:

• Longer credit terms may defer VAT receipts, affecting cash flows.
• Bad debts may be tax-deductible under certain conditions, affecting tax liability.

Exam tasks:

• Evaluate proposed change in credit policy: higher sales but also higher bad debts and longer collection period.
• Calculate impact on profit and NPV of policy change.

5.4 Short-Term Financing: Overdrafts, Trade Credit, and Commercial Paper

Companies finance working capital through:

• Bank overdrafts: flexible but may have high interest rates.
• Short-term bank loans.
• Trade credit from suppliers (payables).
• Commercial paper (for large, creditworthy firms).

Cost of trade credit example:

Supplier offers terms of 2/10, net 30:

• 2% discount if paid within 10 days, or full amount in 30 days.

Implicit cost of forgoing discount:

[
\text{Cost} = \frac{\text{Discount}}{1 – \text{Discount}} \times \frac{365}{\text{Full period} – \text{Discount period}}
]

Here:

[
\text{Cost} = \frac{0.02}{1 – 0.02} \times \frac{365}{30 – 10} = \frac{0.02}{0.98} \times \frac{365}{20}
]

[
= 0.020408 \times 18.25 ≈ 0.372 \text{ or } 37.2% \text{ p.a.}
]

Thus, if the firm’s cost of borrowing is less than 37.2% p.a., it is economically beneficial to take the discount and borrow to pay early.

Such calculations appear frequently in FBS 210, UNISA FIN2601, and CUT exams.

5.5 Integrating Taxation and Working Capital

Working capital decisions influence taxable income and cash tax payments:

• Interest on short-term loans or overdrafts is generally tax-deductible, but high interest can strain cash flows.
• Discounts allowed to customers and discounts received from suppliers have tax implications.
• The timing of revenue recognition under accounting and tax rules can differ from actual cash collection.

Example scenario:

A business offers early payment discounts to customers:

• Increases uptake of discount, reduces average collection period.
• Lowers accounts receivable and thus CCC.
• However, discount reduces gross revenue, affecting taxable income.

A BCom Taxation student must appreciate:

• The trade-off between taxable income and cashflow management.
• Optimising after-tax cash flows, not just pre-tax profit.

5.6 Exam Strategy and Study Tips for FBS 210 (UP BCom Taxation)

FBS 210, similar to UNISA FIN2601 and CUT FNM20B, often blends quantitative calculations with theory and discussion. To prepare effectively:

5.6.1 Understand, Don’t Memorise Blindly

• Learn what each formula means, not just how to apply it.
• For example, in NPV:
  • Why use after-tax cash flows?
  • Why is the cost of capital used as the discount rate?
  • How does risk affect the required return?

5.6.2 Practise Past Papers (UP, UNISA, CUT)

• UP FBS 210 past exam papers help you see typical mark allocation, structure, and question style.
• UNISA modules like FIN2601 (Financial Management) and FAC3704 (Advanced Financial Accounting topics with finance linkages) provide extra practice on TVM and capital budgeting.
• CUT’s Financial Management exam questions often resemble intermediate-level FBS 210 questions.

When practising:

• Time yourself to simulate exam conditions.
• Mark your solutions using available memos or textbook solutions.
• Identify pattern questions (e.g. “evaluate project using NPV/IRR”).

5.6.3 Allocate Time According to Marks

Guideline (common in UP, UNISA, CUT exams):

• 1 mark ≈ 1.2 minutes of exam time (for a 100-mark, 2-hour paper; adapt if different).
• For FBS 210, if given, say, 60 minutes and 50 marks:
  • 50 marks × 1.2 ≈ 60 minutes.
  • Plan time per section accordingly (e.g. 20-mark question ≈ 24 minutes).

During the exam:

• Start with questions you are confident about.
• For calculation questions:
  • Set up structure and formula first.
  • Fill in given numbers.
  • Show all steps clearly for partial marks.

5.6.4 Common Pitfalls to Avoid

1. Ignoring tax in investment appraisal when the question includes tax data.
2. Mixing nominal and effective interest rates (e.g. using nominal in PV formulas with annual periods).
3. Failing to differentiate between accounting profit and cash flows.
4. Omitting terminal cash flows (salvage values, working capital recovery).
5. Using book value weights instead of market value weights for WACC (when question specifies market values).
6. Not clearly stating whether a series is an annuity due or an ordinary annuity.

5.6.5 How FBS 210 Links with Other Modules (UP BCom Taxation)

• Taxation modules (e.g. TAX 201, TAX 200-level):

  • Use the same cash flow projections to determine taxable income.
  • Explore the effect of tax incentives, capital allowances, and losses on investment decisions.

• Accounting modules (e.g. FRK 201 / FRK 210 equivalents):

  • Provide the raw financial information used to estimate cash flows and project costs.
  • Teach recognition and measurement principles that affect financial statements, which in turn influence market perceptions and the cost of capital.

• Corporate law and governance modules:

  • Frame the legal environment in which financing and investment decisions are made.

This integration is particularly important in the University of Pretoria BCom Taxation curriculum, and the conceptual approach is mirrored in programmes at UNISA (BCompt, BCom in Financial Management) and CUT commerce degrees.

By mastering the core concepts, formulae, and typical exam problem types outlined in these notes—especially time value of money, capital budgeting, cost of capital, capital structure, and working capital management—students in FBS 210 Financial Management (UP BCom Taxation) will be well-prepared not only for their exams, but also for further modules in taxation and finance at UP, UNISA, and CUT.