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.
- A₹60,000
- B₹84,853Correct
- C₹1,20,000
- 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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