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CA Final · Advanced Financial Management · Portfolio Management

Kavita invests Rs 12,000 at the start of each of three consecutive months in a mutual fund scheme, as a rupee cost averaging strategy. The NAVs on the three investment dates are Rs 20, Rs 15 and Rs 24. What is her average cost per unit, to two decimal places?

Her average cost is about Rs 18.95 per unit. She buys 600, 800 and 500 units, which is 1,900 units for Rs 36,000. Because a fixed rupee amount buys more units at low NAVs, the cost is below the simple average NAV of Rs 19.67.

  1. ARs 18.95Correct
  2. BRs 19.67
  3. CRs 20.00
  4. DRs 18.00

Explanation

Units bought are 600 + 800 + 500 = 1,900 for a total outlay of Rs 36,000. The average cost is 36,000 / 1,900 = Rs 18.95. Rs 19.67 is the simple average of the NAVs (59/3), which wrongly ignores that more units are bought when the NAV is low. Rs 20 is only the first NAV.

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