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PSG Inc., a U.K. manufacturer, is expecting an inflow of 18.3 million US-$ within the next four months. Todays spot exchange rate is 0.7407 British
PSG Inc., a U.K. manufacturer, is expecting an inflow of 18.3 million US-$ within the next four months. Todays spot exchange rate is 0.7407 British pounds () per US-$. PSG decides to hedge using options. The interest rate is 1.79%. PSG contacts Citicorp which offers the following options on the US-$:
- American call option on the US-$ with T=3 months, K=0.74 /$, and price C=0.025 /$
- American put option on the US-$ with T=3 months, K=0.74 /$, and price P=0.012 /$
- American call option on the US-$ with T=6 months, K=0.74 /$, and price C=0.029 /$
- American put option on the US-$ with T=6 months, K=0.74 /$, and price P=0.015 /$
Answer the following questions, assuming that these options have no resale value, and ignoring transactions costs.
- Which option should PSG choose?
- Suppose that 5.5 months later PSG receives the 18.3 million US-$ payment. At that time (t=5.5 months) the spot exchange rate is 0.68 /$. What should PSG do? How many per US-$ will they receive net of the expense for the purchase of the option?
- Now, suppose that 5.5 months later (i.e., at the time when PSG will receive 18.3 million US-$) the spot exchange rate is 0.78 /$. What should PSG do? How many per US-$ will they receive net of the expense for the purchase of the option?
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