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CA Intermediate · Financial Management and Strategic Management · Treasury and Cash Management

Using the Baumol model, Sundaram Traders expects a cash requirement of ₹7,20,000 for the year. The cost per conversion of securities into cash is ₹100 and the interest rate on marketable securities is 4% per annum. What is the optimum transaction size (cash conversion lot)?

The optimum conversion lot is ₹60,000. Under the Baumol model C equals the square root of 2UP divided by S, which is the square root of 2 × 7,20,000 × 100 ÷ 0.04, that is the square root of 3,600,000,000, giving ₹60,000.

  1. A₹60,000
  2. B₹84,853Correct
  3. C₹1,20,000
  4. D₹3,60,000

Explanation

Baumol: C = √(2UP/S) = √(2 × 7,20,000 × 100 / 0.04) = √(3,600,000,000) = ₹60,000. Check: 2×720000×100 = 144,000,000; divided by 0.04 = 3,600,000,000; square root = 60,000. So the correct value is ₹60,000, not option 2.

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