Suppose you observe the following exchange rates: S($/£) = 1…

Suppose you observe the following exchange rates: S($/£) = 1.3. The one-year forward rate is F1($/£) = 1.32. The risk-free interest rate in the U.S. is 5% and in UK it is 2%. You can borrow either $1,300,000 or £1,000,000. Briefly and clearly explain your arbitrage strategy. Show your work in each step to receive partial credits. 

Suppose you observe the following exchange rates: S($/£) = 1…

Suppose you observe the following exchange rates: S($/£) = 1.3. The one-year forward rate is F1($/£) = 1.32. The risk-free interest rate in the U.S. is 5% and in UK it is 2%. You can borrow either $1,300,000 or £1,000,000. Your total arbitrage profit will be $ (please leave whole dollars for your answer).

A U.S. firm holds an asset in UK and considers selling it in…

A U.S. firm holds an asset in UK and considers selling it in one year. The firm faces the following scenario of the future spot rates in one year:   State 1 State 2 State 3 State 4 State 5 Probability 20% 20% 20% 20% 20% Spot rate ($/£) 1.6 1.5 1.4 1.3 1.2 P*(£) 1200 1400 1600 1800 2000 P ($) $1920 $2100 $2240 $2340 $2400 In the above table, P* is the pound price (local price) of the asset in UK held by the U.S. firm and P is the dollar price of the asset. The variance of the dollar value of the hedged position is .

A U.S. firm holds an asset in UK and considers selling it in…

A U.S. firm holds an asset in UK and considers selling it in one year. The firm faces the following scenario of the future spot rates in one year:   State 1 State 2 State 3 State 4 State 5 Probability 20% 20% 20% 20% 20% Spot rate ($/£) 1.6 1.5 1.4 1.3 1.2 P*(£) 1200 1400 1600 1800 2000 P ($) $1920 $2100 $2240 $2340 $2400 In the above table, P* is the pound price (local price) of the asset in UK held by the U.S. firm and P is the dollar price of the asset. The variance of the dollar price of this asset if the U.S. firm remains unhedged against this exposure is .  

Transaction Exposure Problem: Suppose that you (i.e., compan…

Transaction Exposure Problem: Suppose that you (i.e., company XYZ) are a US-based importer of goods from Canada. You expect the value of the Canada dollar to increase against the US dollar over the next 6 months. You will be making payment on a shipment of imported goods (CAD100,000) in 6 months and want to hedge your currency exposure. The US risk-free rate is 5% and the Canada risk-free rate is 4% per year. The current spot rate is $1.25/CAD, and the 6-month forward rate is $1.3/CAD. You can also buy a 6-month option on Canadian dollars at the strike price of $1.4 /CAD for a premium of $0.10/CAD. Suppose Canada company gave XYZ a choice of paying either CAD100,000 or $125,000 in six months. If the spot exchange rate in six months turns out to be $1.3/CAD, which currency (USD or CAD) do you think XYZ will choose to use for payment? The value of this free option for XYZ is $ .

Transaction Exposure Problem: Suppose that you (i.e., compan…

Transaction Exposure Problem: Suppose that you (i.e., company XYZ) are a US-based importer of goods from Canada. You expect the value of the Canada dollar to increase against the US dollar over the next 6 months. You will be making payment on a shipment of imported goods (CAD100,000) in 6 months and want to hedge your currency exposure. The US risk-free rate is 5% and the Canada risk-free rate is 4% per year. The current spot rate is $1.25/CAD, and the 6-month forward rate is $1.3/CAD. You can also buy a 6-month option on Canadian dollars at the strike price of $1.4 /CAD for a premium of $0.10/CAD. If XYZ hedges the exposure using an option hedge, total option premium: $ will be paid today. The option premium will grow to $   in six months at the US interest rate. In six months, if the spot price is $1.3 per CAD, the option is (in/out) of the money. So, XYZ will buy 100,000 CAD at the price of $ per CAD, which equals to a total cost of $ . After the option premium, the total (net) dollar costs in six month is $ .

The current spot exchange rate is $1.06/CAD, and the 3-month…

The current spot exchange rate is $1.06/CAD, and the 3-month forward rate is $1.20/ CAD. a) If you speculate that the future spot rate in 3 months will be $1.10/CAD. What kind of position (long/short) that you would like to enter in the forward market? Answer: You would like to enter a (long/short) position in the forward contract. b) What is your expected profit in USD? Suppose that you can buy or sell CAD 100,000. Answer: Your expected profit will be $ . c) At expiration, the spot price turns out to be $1.25/ CAD. Do you profit or do you lose at maturity date? What is the size of your profit/loss in USD? Answer: You (profit/lose). The size of your total profit/loss is $ . (please calculate your profit/loss in USD and use negative sign to indicate loss)