Financial ManagementMCQQuestion 13473 of 300
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Annual cash disbursement of a firm is ₹58,000,000. Transaction cost per marketable security sale is ₹580 and opportunity interest rate is 10% p.a. What is the optimal cash conversion size (C∗\displaystyle C^*)?

Select Your Answer (Keyboard: A, B, C, D)
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Correct Answer

✅ Option D — ₹820,244

All Options:

  • A₹1,020,244
  • B₹670,244
  • C₹1,220,244
  • D₹820,244 ✓

Detailed Solution & Explanation

Correct Answer: Option **D** (₹820,244) **Financial Management Derivation (Working Capital - Baumol Model of Cash Management):** C∗=2FTi=2×580×₹58,000,0000.10=₹820,244C^* = \displaystyle \sqrt{\frac{2FT}{i}} = \sqrt{2×580×₹58,000,0000.10\displaystyle \frac{2 \times 580 \times ₹58,000,000}{0.10}} = ₹820,244 Hence, Option D is the correct answer.

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