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Consider an Option to Buy £10,000 for €12,500 FInd the Value of the Call

question 83

Essay

Consider an option to buy £10,000 for €12,500.In the next period,if the pound appreciates against the dollar by 37.5 percent then the euro will appreciate against the dollar by ten percent.On the other hand,the euro could depreciate against the pound 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} FInd the value of the call.


Definitions:

Dominance Structuring

A method or process by which power, control, or precedence is established and maintained among elements or individuals within a system or group.

Risks And Benefits

The potential negative outcomes versus the advantageous outcomes that may arise from a particular decision or action.

Decision-Critical Attributes

Essential characteristics or factors that significantly influence the outcome of a decision-making process.

Search For Dominance

The effort or drive to achieve a leading or controlling position within a certain context or environment.

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