Consider an Option to Buy €12,500 for £10,000 If the Call Finishes In-The-Money What Is Your Portfolio Cash

question 39

Essay

Consider an option to buy €12,500 for £10,000.In the next period,the euro can strengthen against the pound by 25 percent (i.e.,each euro will buy 25 percent more pounds)or weaken by 20 percent.
Big hint: don't round,keep exchange rates out to at least 4 decimal places.

$\begin{array}{lll}&spot Rates&Risk-tree Rates\\S_{0}(\$ / €) & \$ 1.60=€ 1.00&i \$ 3.00 \% \\S_{0}\left(\$ / £)\right. & \$ 2.00=£ 1.00&i €4.00 \% \\S_{0}\left(€ /£)\right. & € 1.25=£ 1.00&i £4.00 \%\end{array}$ If the call finishes in-the-money what is your portfolio cash flow?

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Definitions:

Standard Normal Curve

A type of normal distribution that has a mean of 0 and a standard deviation of 1, represented graphically as a bell-shaped curve.

Area

A measure of the extent of a surface or shape, expressed in square units.

Z-score

An indicator that shows the number of standard deviations a particular value is away from the average.

Standard Normal Curve

A symmetric bell-shaped curve that represents the distribution of a standardized variable, with a mean of 0 and a standard deviation of 1.