How would you use the binomial tree approach to value an American option on a stock index

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How would you use the binomial tree approach to value an American option on a stock index when the dividend yield on the index is a function of time? Dividend
A dividend is a distribution of a portion of company’s earnings, decided and managed by the company’s board of directors, and paid to the shareholders. Dividends are given on the shares. It is a token reward paid to the shareholders for their...
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