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Consider an Option to Buy €12,500 for £10,000 Calculate the Hedge Ratio

question 27

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} Calculate the hedge ratio.


Definitions:

Trading Goods

The act of buying, selling, or exchanging commodities within domestic or international markets.

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Mormon Religion

A religious faith founded by Joseph Smith in the early 19th century, officially known as The Church of Jesus Christ of Latter-day Saints, emphasizing restorationist Christianity and a unique set of canonical scriptures.

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The belief in or act of a deity intervening in the world, often in response to human appeals or circumstances, altering the course of events in a supernatural way.

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