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Consider an Option to Buy £10,000 for €12,500 Calculate the Current €/£ Spot Exchange Rate

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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} Calculate the current €/£ spot exchange rate.

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Definitions:

Tacit Collusion

A form of collusion in which firms in a market coordinate their pricing or output strategies without explicit communication or agreement.

Competition

The rivalry among sellers trying to achieve such goals as increasing profits, market share, and sales volume by varying the elements of the marketing mix.

Illegal

Activities or actions that are prohibited by law and subject to legal penalties, including fines and imprisonment.

Legal

Pertaining to laws or the system of rules that a particular country or community recognizes as regulating the actions of its members.

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