Financial ManagementMCQQuestion 13493 of 300
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Annual cash disbursement of a firm is ₹78,000,000. Transaction cost per marketable security sale is ₹780 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 C — ₹1,103,087

All Options:

  • A₹953,087
  • B₹1,503,087
  • C₹1,103,087 ✓
  • D₹1,303,087

Detailed Solution & Explanation

Correct Answer: Option **C** (₹1,103,087) **Financial Management Derivation (Working Capital - Baumol Model of Cash Management):** C∗=2FTi=2×780×₹78,000,0000.10=₹1,103,087C^* = \displaystyle \sqrt{\frac{2FT}{i}} = \sqrt{2×780×₹78,000,0000.10\displaystyle \frac{2 \times 780 \times ₹78,000,000}{0.10}} = ₹1,103,087 Hence, Option C is the correct answer.

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