Cash Management: Motives, Models & Real-World Tradeoffs

TAKEAWAYS:

• Cash is held for three core motives: transaction (daily operations), precautionary (emergencies), and speculative (exploiting opportunities).
• The Baumol model balances cash holding costs (opportunity cost) and transaction costs (fixed costs of converting securities to cash).
• Optimal cash balance minimizes total costs: $\text{Optimal Cash}=\sqrt{\frac{2\times \text{Annual Cash Needs}\times \text{Transaction Cost}}{\text{Opportunity Cost per Period}}}$.
• Real-world tradeoffs: Holding too little cash risks insolvency (e.g., Pathao drivers running out of float), while excess cash earns no return (e.g., Ncell’s idle cash in low-yield deposits).
• Cash budgeting (receipts vs. disbursements) prevents shortfalls, as seen in Daraz’s seasonal cash crunches during Dashain sales.
• Nepali context: Banks like NMB use cash concentration accounts to pool cash across branches, reducing idle balances.

1. Why Hold Cash? The Three Motives

Cash is the most liquid asset but earns zero return. Yet, firms hold it because:

mindmap
  root((Why Hold Cash?))
    Transaction["Daily Operations: Pay salaries, suppliers, taxes"]
    Precautionary["Emergencies: Sudden demand spikes (e.g., eSewa during Dashain)"]
    Speculative["Opportunities: Bulk discounts (e.g., Daraz’s cashback offers)"]

Visual: Transaction Motive in Action

Key Insight: The shop must hold enough cash to cover disbursements (Rs 300,000) before revenue arrives. Delayed payments (e.g., from debtors) force it to hold excess cash as a buffer.

2. The Costs of Holding Cash

Firms face two critical costs:

1. Opportunity Cost: Cash earns zero return while marketable securities (e.g., Treasury bills) yield ~8% annually.
   • Example: If Ncell holds Rs 500 million in cash instead of investing it at 8%, it loses Rs 40 million/year in interest.
2. Transaction Costs: Converting securities to cash incurs fees (e.g., brokerage, paperwork).
   • Example: eSewa charges a 0.5% fee to convert digital wallets to bank deposits.

Visual: Tradeoff Between Liquidity and Profitability

Optimal Point: The cash balance where opportunity cost = transaction cost.

3. Baumol’s Cash Management Model

Frank Baumol (1952) modeled how firms balance cash needs and costs. His formula: $$\text{Optimal Cash}=\sqrt{\frac{2\times \text{Annual Cash Needs}\times \text{Transaction Cost}}{\text{Opportunity Cost per Period}}}$$

Worked Example: NMB Bank’s Cash Optimization

Given:

• Annual cash needs = Rs 240 million
• Transaction cost per conversion = Rs 5,000
• Opportunity cost = 8% annually (0.08/12 = 0.67% monthly)

Calculation: $$\text{Optimal Cash}=\sqrt{\frac{2\times 240,000,000\times 5,000}{0.0067}}=\text{Rs 13.6 million}$$ Interpretation: NMB should hold Rs 13.6 million in cash, converting the rest to securities. If it holds more, it wastes opportunity costs; if less, it incurs higher transaction costs.

Visual: NMB’s Cash Conversion Cycle

Real-World Link: NMB uses automated cash pooling across branches to achieve this balance.

4. Motives in Nepali Businesses

Case Study: Kathmandu Traffic Routes (Inventory + Cash)

• Problem: Trucks carrying goods to Kathmandu face delays at tolls, increasing cash-to-goods conversion time.
• Solution: Firms like BigMart hold extra cash to cover unexpected toll fees or fuel price hikes.
• Impact: Increases cash conversion cycle (CCC) by 2–3 days.

5. Cash Budgeting: Preventing Shortfalls

A cash budget forecasts inflows (receipts) and outflows (disbursements) to avoid crises.

Worked Example: Bhulke Manufacturing (May–July)

Assumptions:

• Minimum cash balance = Rs 20,000
• May opening balance = Rs 50,000

Key Takeaway: Bhulke must borrow Rs 20,000 in June to meet the minimum balance requirement.

Visual: Cash Budget Flowchart

6. Short-Term Investment Alternatives

When excess cash is held, firms invest in marketable securities:

Example: If NTC holds Rs 1 billion idle, it could earn Rs 60–80 million/year by investing in Treasury bills instead of keeping it in current accounts.

In the Real World

1. eSewa’s Cash Float:

   • Idea Used: Precautionary motive + transaction costs.
   • How: eSewa merchants must hold minimum float (Rs 5,000–10,000) to process transactions. If float runs low, they face penalties or service suspension. During festivals (e.g., Dashain), demand spikes force merchants to pre-load cash into their eSewa wallets, increasing their opportunity cost.

2. Pathao Drivers’ Cash Management:

   • Idea Used: Baumol model for optimal cash holding.
   • How: A Pathao driver in Kathmandu starts with Rs 10,000 in float. Each trip costs Rs 200–500 in fuel/gas, and earnings are Rs 300–600 per trip. Using Baumol’s formula: $$\text{Optimal Cash}=\sqrt{\frac{2\times 30,000\times 100}{0.0002}}\approx \text{Rs 8,660}$$ Drivers who hold more than Rs 8,660 miss out on interest; those with less face service interruptions.

3. Nepal Rastra Bank’s Cash Reserve Ratio (CRR):

   • Idea Used: Speculative motive + regulatory cash holding.
   • How: Banks must keep 3% of deposits as CRR with NRB. This forced cash holding ensures liquidity but reduces profitability. For example, Global IME Bank must park Rs 300 million with NRB if it has Rs 10 billion in deposits, earning zero return on that amount.

Exam Tip

1. Define Key Terms Precisely:

   • Cash Conversion Cycle (CCC): $\text{CCC}=\text{Inventory Period}+\text{Receivables Period}-\text{Payables Period}$.
   • Baumol Model: Always show the formula and units (e.g., "Rs" for cash, "%" for opportunity cost).

2. Numerical Questions:

   • Always label units (e.g., "Rs 50,000 per month").
   • Show work step-by-step (e.g., calculate opportunity cost per period).
   • Interpret results: "The firm should hold Rs X to minimize costs."

3. Real-World Applications:

   • Link to Nepali firms: Use eSewa, Pathao, or banks in examples.
   • Discuss tradeoffs: "Holding more cash reduces risk but increases opportunity cost."

4. Cash Budgeting:

   • Format: Use a table with columns for receipts, disbursements, net cash, and ending balance.
   • Highlight actions: "Borrow Rs X" or "Invest surplus Rs Y."

5. Common Pitfalls:

   • Ignoring minimum cash balance: Always check if the firm meets its required reserve.
   • Miscounting periods: Ensure days are converted to years (e.g., 35-day payables = 35/365 years).

Final Checklist for Full Marks: ✅ Define all three motives with examples. ✅ Apply Baumol’s formula with units. ✅ Draw a cash budget table for numerical questions. ✅ Relate to Nepali businesses (eSewa, Pathao, banks). ✅ Discuss tradeoffs (liquidity vs. profitability).