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CASH MANAGEMENT MODELS
Baumol’s Model
Amal Mathew
Assistant Professor
Baumol’s Model
Assumptions
 Firm is able to forecast cash needs
 The firm cash payments occur uniformly over a
period of time.
 The opportunity cost of holding cash is known
 The firm will incur same transaction cost
whenever it converts securities
Types of cost- while converting marketable
securities
Conversion cost per period
Cost incurred when converting marketable
securities each time.
Opportunity cost
Rate of return which is lost
Equations
1. Conversion cost per period = b (t/C)
b- cost per conversion
t- transaction cash needed for the period
C- cash balance
{total no of transactions = t/C
2. Opportunity cost = i (C/2)
Equations
Total cost = conversion cost + opportunity
cost
= b (t/C) + i (C/2)
Optimal conversion amount
=
2𝑏𝑡
𝑖
Limitations
• Certainty is not possible
• Nothing about precautionary cash reserves
• Does nit consider fluctuations in cash
requirement
• Transaction cost cannot be measured in
advance
• Interest rate also fluctuates frequently
Baumols model of cash management
Baumols model of cash management

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Baumols model of cash management

  • 1. CASH MANAGEMENT MODELS Baumol’s Model Amal Mathew Assistant Professor
  • 2. Baumol’s Model Assumptions  Firm is able to forecast cash needs  The firm cash payments occur uniformly over a period of time.  The opportunity cost of holding cash is known  The firm will incur same transaction cost whenever it converts securities
  • 3. Types of cost- while converting marketable securities Conversion cost per period Cost incurred when converting marketable securities each time. Opportunity cost Rate of return which is lost
  • 4. Equations 1. Conversion cost per period = b (t/C) b- cost per conversion t- transaction cash needed for the period C- cash balance {total no of transactions = t/C 2. Opportunity cost = i (C/2)
  • 5. Equations Total cost = conversion cost + opportunity cost = b (t/C) + i (C/2) Optimal conversion amount = 2𝑏𝑡 𝑖
  • 6. Limitations • Certainty is not possible • Nothing about precautionary cash reserves • Does nit consider fluctuations in cash requirement • Transaction cost cannot be measured in advance • Interest rate also fluctuates frequently