question archive For the American Call option with dividend, I know we can use Black's approximation to check and valued the early exercise time and price

For the American Call option with dividend, I know we can use Black's approximation to check and valued the early exercise time and price

Subject:FinancePrice:2.84 Bought5

For the American Call option with dividend, I know we can use Black's approximation to check and valued the early exercise time and price.

How about the American Put option with dividend? I knew that the ex-dividend price will be lower, so it probably to wait for ex-dividend.

But is there has a exception? I exercise early I can earn Interest, is Interest > the non-exercise early put value, is it mean I should early exercise?

pur-new-sol

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The Black' model as well as the binomial pricing model assumes that the option's value grow at risk free rate. Therefore excersising a put value before the dividend release or just before the dividend release will yield same value.

Now since Put Value ex-dividend > Put Value Pre Dividend = Put Value Exercised before

=> Put Value ex-dividend > Put Value Exercised

 

Therefore the interest earned is already value in the price of put exercised later and hence provide no profitable opportunity before dividend release.

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