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Consider an Option to Buy £10,000 for €12,500 Find the Value Today of Your Replicating Today's Portfolio in Period,if

question 37

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 today of your replicating today's portfolio in euro.


Definitions:

Unionized Sectors

Industries or sectors where workers are members of a union, which negotiates wages, working conditions, and other employment terms on their behalf.

Inflation

The rate at which the general level of prices for goods and services is rising, and, subsequently, purchasing power is falling.

Unionized Labor

Workers who are members of a union, which is an organization that negotiates with employers on behalf of its members for wages, hours, benefits, and working conditions.

Above-Equilibrium Wages

Wages that are higher than the market equilibrium, often set above the competitive level to attract or retain employees, possibly leading to reduced labor turnover.

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