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IAI Actuarial Core Principles · Actuarial Mathematics for Modelling · Financial instruments and insurance contracts as cashflow models

An investor buys a European put option on a share with strike Rs 200 for a premium of Rs 12. At expiry the share price is Rs 185. Ignoring interest on the premium, what is the investor's net profit per share?

The net profit is Rs 3 per share. The put pays 200 minus 185, which is Rs 15, and the premium of Rs 12 paid at the start must be deducted. Ignoring the premium would give Rs 15, and adding it would give Rs 27.

  1. ARs 15
  2. BRs 3Correct
  3. CRs 12 loss
  4. DRs 27
  5. Rs 3 loss

Explanation

The put payoff is max(200-185,0) = 15. Net profit = 15 - 12 = 3 per share. Rs 15 ignores the premium paid, and Rs 27 wrongly adds it.

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