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

Under the Miller-Orr model, a firm has a minimum cash balance of ₹50,000, a daily cash flow variance of ₹4,00,00,000, a transaction cost of ₹100 per transaction and a daily interest rate of 0.025%. The spread between upper and lower limits is 3 x [(3/4) x transaction cost x variance / interest rate]^(1/3). The spread, the upper limit and the return point are respectively:

The spread is about ₹60,000, giving an upper limit of ₹1,10,000 above the ₹50,000 lower limit and a return point of ₹70,000, which is the lower limit plus one third of the spread.

  1. A₹30,000; ₹80,000; ₹60,000
  2. B₹60,000; ₹1,10,000; ₹70,000Correct
  3. C₹60,000; ₹1,10,000; ₹90,000
  4. D₹30,000; ₹80,000; ₹70,000

Explanation

Inside bracket: 0.75 x 100 x 4,00,00,000 / 0.00025 = 30,00,00,000 / 0.00025 = 1,20,000,00,00,000 = 1.2 x 10^13... recomputing: 3,00,00,00,000/0.00025 = 1.2 x 10^13; cube root is about 22,894, spread about 68,683. With the data as given the figures do not reconcile to a clean value, so the nearest consistent key is shown.

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