Solution

ID: past-exam-of-the-martingales-and-financial-mathematics-course-of-the-university-of-oxford/2011/b/6/e/solution

Under the pricing measure, the ex-dividend stock drift is . Thus
A direct replication holds shares and reinvests every dividend into more shares. The share count grows at rate , reaching two shares at expiry, with no external cash input. This payoff contains only the terminal ex-dividend stock value, unlike part (b), which also includes the separately accumulated dividends.

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