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Suppose you are the Treasurer of a company that imports goods from England. You estimate that you will have to make two payments: a 5

Suppose you are the Treasurer of a company that imports goods from England. You estimate that you will have to make two payments: a 5 million pound sterling payment after 6 months and a 6 million payment after another six months (i.e., one year from today). Spot rate SAin American terms is $1.26 per pound sterling. You would like to hedge your currency risk exposure.

Question: A rep from a bank calls you and offers to trade currency forward. To check this guys authenticity, you collect todays interest rates in USA and UK. Next, you compute arbitrage-free forward prices (in American terms) for these four maturities.

USD LIBOR

(per year)

Sterling LIBOR (per year)

FA[Forward price in American terms

1 month (30 days)

1 %

0.25 %

?

3 months (91 days)

1.17 %

0.32 %

?

6 months (182 days)

1.43 %

0.47 %

?

1 year

1.78 %

0.68 %

?

For simplicity

Assume these rates are continuously compounded annual risk-free interest rates

Day count convention is Actual/365.

Ignore bid/ask spreads

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