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A Stock Is Currently Trading at $100 u=1.10u = 1.10 Or Fall by a Factor Of

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A stock is currently trading at $100. In each month, the stock will either increase in price by a factor of u=1.10u = 1.10 or fall by a factor of d=0.90d = 0.90 . The risk-free rate of interest per month is 0.1668% in simple terms, i.e., an investment of $1 at the risk-free rate returns $1.001668 after one month. What is the early-exercise premium of a 100-strike, six-month American call option when a dividend of $1 is paid at the end of each month? (Assume that if the option is exercised, it is done just before the dividends are paid.)

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Definitions:

Economic Growth

A growth in an economy's ability to produce goods and services when comparing one time period to another.

Outward Shift

A movement of a curve away from the origin on a graph, typically indicating an increase in supply or demand.

Comparative Advantage

The proficiency of an individual or group in executing a certain economic function more effectively than other tasks.

Lowest Cost

The scenario in which the expenditure required to achieve a certain objective or to purchase goods and services is minimized.

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