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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.

spotRatesRisktreeRatesS0($/)$1.60=1.00i$3.00%S0($/£)$2.00=£1.00i4.00%S0(/£)1.25=£1.00i£4.00%\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:

Risk

The exposure to the possibility of financial loss or variation in the returns of an investment.

Standard Deviation

Standard deviation measures the amount of dispersion or variability in a set of values, indicating how much the individual data points differ from the mean or average.

Utility Score

A numerical assessment that quantifies the satisfaction or utility an individual receives from making certain choices or consuming various goods and services.

Rate of Return

The increase or decrease in value of an investment over a set period, depicted as a percentage of the investment's starting cost.

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