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

Under the Baumol model, if the annual cash requirement and the interest rate stay unchanged but the fixed cost per conversion of securities into cash rises to four times its earlier level, the optimum cash conversion size will:

The optimum cash conversion size doubles. In the Baumol model it is proportional to the square root of the transaction cost, so a fourfold rise in the cost per conversion raises the optimum size by a factor of the square root of four, which is two.

  1. ABecome four times
  2. BBecome twiceCorrect
  3. CRemain unchanged
  4. DBecome half

Explanation

Optimum C = sqrt(2UP/S). If P becomes 4P, C becomes sqrt(4) = 2 times the earlier value. Saying four times ignores the square root.

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