Financial Management Basics: Time Value, Budgets, Costs & Investment Decisions

TAKEAWAYS

• Time value of money (TVM) is the foundation: money today ≠ money tomorrow due to interest, inflation, and risk. Use PV, FV, and annuity formulas to compare cash flows.
• Budgets (master, capital, cash) are the financial blueprint of an organization—zero-based budgeting forces efficiency, while incremental budgeting is simpler but wasteful.
• Costs are classified by behavior (fixed/variable), relevance (sunk/relevant), and traceability (direct/indirect). Break-even analysis shows profitability thresholds.
• Capital budgeting uses NPV, IRR, and payback period to rank projects. NPV is the gold standard; IRR ignores scale; payback ignores time value.
• Financial statements (income, balance sheet, cash flow) are interconnected. Liquidity ratios (current, quick) and profitability ratios (ROI, ROE) diagnose firm health.
• Real-world tie: Nepal Investment Bank’s loan approvals use NPV to decide which infrastructure projects (e.g., hydropower) to fund, while Daraz’s cash flow budget ensures seasonal inventory costs are covered.

1. Time Value of Money (TVM): The Core Principle

Definition: Money available today is worth more than the same amount in the future due to interest, inflation, and opportunity cost. TVM is the backbone of financial decisions—from loan repayments to stock investments.

Key Concepts

graph LR
    A["Time Value of Money"] --> B["Present Value (PV)"]
    A --> C["Future Value (FV)"]
    A --> D["Annuities (Equal Payments)"]
    A --> E["Perpetuities (Infinite Payments)"]
    A --> F["Interest Rates (Nominal vs. Real)"]

• Present Value (PV): The current worth of future cash flows, discounted at a rate $r$. Formula: $$PV=\frac{FV}{(1+r{)}^n}$$
• Future Value (FV): The value of money invested today at rate $r$ for $n$ periods. Formula: $$FV=PV\times (1+r{)}^n$$
• Annuities: Equal payments over time (e.g., loan EMIs, rent). Use PV of annuity or FV of annuity tables/formulas.
• Perpetuities: Infinite cash flows (e.g., preferred stocks). $PV=\frac{C}{r}$, where $C$ = periodic cash flow.

Worked Example: Nabil Bank Loan Repayment

Scenario: You take a ₹500,000 loan at 10% annual interest, repayable in 3 equal annual installments. What is the EMI? Solution: This is an annuity problem. The loan amount (₹500,000) is the PV of the annuity, and the EMI ($A$) is the periodic payment. Using the PV of annuity formula: $$PV=A\times \frac{1-(1+r{)}^{-n}}{r}$$ Rearrange to solve for $A$: $$A=\frac{PV\times r}{1-(1+r{)}^{-n}}=\frac{500,000\times 0.10}{1-(1.10{)}^{-3}}=₹205,414\text{ per year}$$ Real-world link: Nabil Bank uses similar calculations to determine home loan EMIs for customers. Missed payments trigger compound interest, increasing the total cost.

2. Financial Statements: The Language of Finance

Three core statements interlink to tell a firm’s story:

How They Connect

flowchart TD
    A["Income Statement"] -->|"Net Income"| B["Retained Earnings"]
    B --> C["Balance Sheet: Equity"]
    A -->|"Depreciation"| D["Cash Flow: Operating"]
    D --> E["Cash Flow Statement"]
    E -->|"Net Cash"| F["Balance Sheet: Cash"]

Worked Example: Himalayan Java’s Profitability Given:

• Revenue: ₹80,000,000
• COGS: ₹40,000,000
• Operating Expenses: ₹25,000,000
• Interest Expense: ₹5,000,000
• Tax Rate: 25%

Calculate Net Income: $$\text{Net Income}=(80M-40M-25M-5M)\times (1-0.25)=₹8,250,000$$ Link to Balance Sheet: This ₹8.25M increases retained earnings under shareholders’ equity.

3. Budgeting: Planning with Numbers

Budgets allocate resources and set performance benchmarks. Two dominant methods:

Types of Budgets

mindmap
  root((Budgets))
    Master Budget
      Operating Budget
        Sales Budget
        Production Budget
        Selling & Admin Budget
      Capital Budget
        Long-term investments (e.g., new factory)
      Cash Budget
        Ensures liquidity (e.g., Daraz’s Diwali stocking)
    Financial Budgets
      Pro Forma Income Statement
      Pro Forma Balance Sheet

Worked Example: Daraz’s Cash Flow Budget Scenario: Daraz expects ₹200M revenue in Q4 (peak season) but needs ₹150M for inventory. Historical data shows 60% of revenue is collected in 30 days. Question: How much minimum cash balance must Daraz maintain to avoid a shortfall? Solution:

1. Projected Cash Inflow: 60% of ₹200M = ₹120M in 30 days.
2. Cash Outflow: ₹150M (inventory) + ₹30M (fixed costs) = ₹180M.
3. Shortfall: ₹180M – ₹120M = ₹60M.
4. Solution: Daraz must borrow ₹60M short-term or delay inventory orders.

4. Cost Analysis: Classifying and Controlling Costs

Costs drive pricing, profitability, and decision-making. Classify them wisely:

Cost Classification Table

Break-Even Analysis

Formula: $$\text{Break-Even (units)}=\frac{\text{Fixed Costs}}{\text{Selling Price per Unit}-\text{Variable Cost per Unit}}$$ Worked Example: Chaudhary Group’s Bike Manufacturing

• Fixed Costs: ₹50,000,000 (factory rent, salaries)
• Variable Cost per Bike: ₹15,000 (steel, labor)
• Selling Price per Bike: ₹30,000 Break-Even Point: $$\frac{50,000,000}{30,000-15,000}=10,000\text{ bikes}$$ Interpretation: Chaudhary must sell 10,000 bikes/year to cover costs. Below this, they lose money.

5. Capital Budgeting: Investing for Growth

Long-term decisions (e.g., buying machinery, expanding) require capital budgeting techniques. Compare projects using:

Worked Example: NTC’s Fiber-Optic Expansion

Project: Expand fiber network in Kathmandu at ₹200M cost. Expected cash flows:

• Year 1: ₹50M
• Year 2: ₹70M
• Year 3: ₹80M
• Year 4: ₹60M Discount Rate: 12%

Calculate NPV: $$NPV=-200M+\frac{50M}{1.12}+\frac{70M}{1.12^2}+\frac{80M}{1.12^3}+\frac{60M}{1.12^4}=₹23.4M$$ Decision: Since NPV > 0, the project is profitable. NTC should invest.

IRR Calculation: Solve for $r$ where NPV = 0 → IRR ≈ 18%. Payback Period: ₹200M recovered by end of Year 3 (₹50M + ₹70M + ₹80M = ₹200M).

6. Financial Ratios: Diagnosing Firm Health

Ratios convert financial statements into actionable insights. Key categories:

Liquidity Ratios

Profitability Ratios

Worked Example: NEPSE Stock Analysis Given:

• Company A: ROE = 18%, Current Ratio = 1.2
• Company B: ROE = 12%, Current Ratio = 2.0 Question: Which is better? Answer:
• Company A is more profitable (ROE) but less liquid (current ratio).
• Company B is safer (liquidity) but less profitable. Trade-off: Investors prefer Company A for growth, Company B for stability.

In the Real World

1. Nepal Investment Bank’s Loan Decisions

   • Idea Used: NPV and IRR for capital budgeting.
   • How: When approving loans for hydropower projects (e.g., West Seti), the bank calculates the NPV of expected electricity revenue vs. construction costs. Projects with NPV > 0 get funding.
   • Example: A ₹500M hydropower plant with ₹100M/year revenue for 25 years at 10% discount rate yields NPV = ₹120M → approved.

2. Daraz’s Cash Flow Management

   • Idea Used: Cash budgeting and break-even analysis.
   • How: During Diwali, Daraz’s inventory costs spike. Using cash flow projections, they:
     • Delay non-urgent supplier payments (negotiate longer terms).
     • Use short-term loans to cover inventory gaps.
     • Set a break-even sales target (e.g., "Sell 50,000 units to cover costs").
   • Result: Avoids stockouts and cash crunches.

3. NTC’s Network Expansion

   • Idea Used: Payback period and IRR.
   • How: Before expanding 4G towers in Pokhara, NTC:
     • Estimates ₹300M cost and ₹100M/year revenue for 5 years.
     • Payback Period: 3 years (₹100M × 3 = ₹300M).
     • IRR: ~20% (higher than NTC’s cost of capital).
   • Outcome: Project greenlit; IRR > cost of capital ensures profitability.

Exam Tip

1. TVM is 30% of the unit: Memorize PV, FV, and annuity formulas. Exams often give cash flow tables and ask for NPV/IRR.

   • Trick: Use a financial calculator or Excel (=NPV(rate, cash_flows)).

2. Budgeting questions test logic: Expect scenarios like:

   • "Daraz’s sales dropped 20%. Adjust its master budget."
   • Solution: Reduce production budget (variable costs) first, then fixed costs (e.g., layoffs).

3. Cost analysis is conceptual: Focus on sunk vs. relevant costs. A classic exam question:

   • "Should Himalayan Java shut a factory with ₹50M sunk costs but ₹30M/year losses?"
   • Answer: Yes, because ₹30M > 0 (ignore sunk costs).

4. Capital budgeting comparisons: Given two projects, always calculate NPV and IRR. Example:

   • Project X: NPV = ₹20M, IRR = 15%
   • Project Y: NPV = ₹15M, IRR = 20%
   • Choose X if funds are limited (higher NPV = more value).

5. Ratio analysis is numerical: Practice calculating current ratio, ROI, and ROE from mini financial statements in exams.

   • Example: Given a balance sheet, compute liquidity and profitability in 5 minutes.

flowchart LR
    A["Financial Management Basics"] --> B["TVM: PV/FV/Annuities"]
    A --> C["Budgets: Master, Cash, Capital"]
    A --> D["Costs: Fixed/Variable, Break-Even"]
    A --> E["Capital Budgeting: NPV, IRR, Payback"]
    A --> F["Ratios: Liquidity, Profitability"]
    B -->|"Used in"| G["Loan EMIs, Stock Valuation"]
    C -->|"Used by"| H["Daraz, NTC, Government"]
    E -->|"Decides"| I["Hydropower Plants, Factory Expansions"]