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give answer in 2 step with explanation at the end of each step and final answer at the end:You are a U.S. - based importer of bicycles and just bought competition - style bicycles for £105,000 from Italy. You owe €105,000 to the Italian supplier in one year. You are concerned about the amount of dollars you will have to pay for this purchase in one year. Suppose: Spot exchange rate is $1.75 per euro Forward exchange rate is $1.50 per euro U.S. interest rate is 3.25% per annum Interest rate in Europe is 4.25% per annum Call option with strike price of $1.55 per euro is available with premium of $0.35 per euro. Put option with strike price of $1.55 per euro is available with premium of $0.45 per euro. Required: a-1. Unhedged position: Suppose you decide not to do anything. In one year, the spot rate happens to be $1.75 per euro. What will be the total dollar cost of this purchase then? a-2 What will be the total dollar cost if the spot rate happens to be $1.55 per euro in one year? a-3. What will be the total dollar cost if the spot rate happens to be $1.65 per euro in one year? a-4. Are you subject to exchange rate risk in this case? b-1. Forward market hedge: How can you lock in the exact dollar cost of this purchase by using forward contracts? Should you agree to buy or sell £105,000 forward in one year's time? b-2 What will be the total dollar cost of this purchase with the forward hedge? b-3. Are you subject to exchange rate risk in this case? c-1. Money market hedge: How can you hedge using money market hedge? Where should you borrow and how much? c-2. What will be the total dollar cost of this purchase with money market hedge? c-3. Are you subject to exchange rate risk in this case?

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give answer in 2 step with explanation at the end of each step and final answer at the end:Uploaded ImageYou are a U.S. - based importer of bicycles and just bought competition - style bicycles for £105,000 from Italy. You owe €105,000 to the Italian supplier in one year. You are concerned about the amount of dollars you will have to pay for this purchase in one year. Suppose: Spot exchange rate is $1.75 per euro Forward exchange rate is $1.50 per euro U.S. interest rate is 3.25% per annum Interest rate in Europe is 4.25% per annum Call option with strike price of $1.55 per euro is available with premium of $0.35 per euro. Put option with strike price of $1.55 per euro is available with premium of $0.45 per euro. Required: a-1. Unhedged position: Suppose you decide not to do anything. In one year, the spot rate happens to be $1.75 per euro. What will be the total dollar cost of this purchase then? a-2 What will be the total dollar cost if the spot rate happens to be $1.55 per euro in one year? a-3. What will be the total dollar cost if the spot rate happens to be $1.65 per euro in one year? a-4. Are you subject to exchange rate risk in this case? b-1. Forward market hedge: How can you lock in the exact dollar cost of this purchase by using forward contracts? Should you agree to buy or sell £105,000 forward in one year's time? b-2 What will be the total dollar cost of this purchase with the forward hedge? b-3. Are you subject to exchange rate risk in this case? c-1. Money market hedge: How can you hedge using money market hedge? Where should you borrow and how much? c-2. What will be the total dollar cost of this purchase with money market hedge? c-3. Are you subject to exchange rate risk in this case?

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Asked by: Rahul
Created at: 2025-11-13 07:55:27

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Let's break down the answers step by step, as requested: --- ## a-1. **Unhedged Position: Spot Rate = $1.75/€** ### **Step 1:** Calculate dollar amount needed - Amount owed: €105,000 - Spot rate in one year: $1.75/€ \[ \text{Dollar cost} = €105,000 \times \$1.75/€ \] ### **Step 2:** Compute the result \[ \text{Dollar cost} = \$183,750 \] **Explanation:** If the spot rate is $1.75/€, you will need $183,750 to pay your supplier. --- ## a-2. **Unhedged Position: Spot Rate = $1.55/€** ### **Step 1:** Calculate dollar amount needed - Spot rate in one year: $1.55/€ \[ \text{Dollar cost} = €105,000 \times \$1.55/€ \] ### **Step 2:** Compute the result \[ \text{Dollar cost} = \$162,750 \] **Explanation:** If the spot rate is $1.55/€, you will need $162,750 for the payment. --- ## a-3. **Unhedged Position: Spot Rate = $1.65/€** ### **Step 1:** Calculate dollar amount needed - Spot rate in one year: $1.65/€ \[ \text{Dollar cost} = €105,000 \times \$1.65/€ \] ### **Step 2:** Compute the result \[ \text{Dollar cost} = \$173,250 \] **Explanation:** If the spot rate is $1.65/€, you will need $173,250. --- ## a-4. **Are you subject to exchange rate risk in this case?** ### **Step 1:** Analyze the situation - In all above cases, the dollar amount changes with the spot rate. ### **Step 2:** Conclude **Yes, you are subject to exchange rate risk.** **Explanation:** Since your payment in dollars depends on the future exchange rate (which is uncertain), you face exchange rate risk. --- ## b-1. **Forward Market Hedge: How to lock in cost?** ### **Step 1:** Use a forward contract - Enter a forward contract to **buy** €105,000 in one year at $1.50/€. ### **Step 2:** Dollar cost calculation \[ \text{Dollar cost} = €105,000 \times \$1.50/€ \] \[ \text{Dollar cost} = \$157,500 \] **Explanation:** By using a forward contract, you lock in the payment amount, regardless of future spot rates. --- ## b-2. **What is the total dollar cost with the forward hedge?** ### **Step 1:** Refer to above calculation ### **Step 2:** State the result \[ \text{Dollar cost} = \$157,500 \] **Explanation:** With the forward hedge, your dollar cost is fixed at $157,500. --- ## b-3. **Are you subject to exchange rate risk in this case?** ### **Step 1:** Analyze the hedge - The forward contract fixes your dollar payment. ### **Step 2:** Conclude **No, you are not subject to exchange rate risk.** **Explanation:** Your dollar cost is locked in; you avoid exchange rate fluctuations. --- ## c-1. **Money Market Hedge: How to hedge?** ### **Step 1:** Borrow USD now, convert to EUR, invest at EUR interest rate** - Find the present value of €105,000 at European interest rate (4.25%). \[ PV = \frac{€105,000}{1 + .0425} = €100,697.44 \] - Convert this to dollars at current spot rate ($1.75/€): \[ \text{USD needed} = €100,697.44 \times \$1.75/€ = \$176,220.52 \] ### **Step 2:** Borrow USD, convert to EUR, invest in EUR, pay back USD loan in 1 year - Borrow $176,220.52 at 3.25% (U.S. rate): \[ \text{USD owed in 1 year} = \$176,220.52 \times (1 + .0325) = \$181,958.68 \] **Explanation:** You borrow dollars, convert to euros, invest in euros, and use the matured amount to pay your supplier. Later, you repay the dollar loan. --- ## c-2. **Total dollar cost with money market hedge?** ### **Step 1:** Use above result ### **Step 2:** State the result \[ \text{Dollar cost} = \$181,958.68 \] **Explanation:** Your total dollar outflow in one year will be $181,958.68 using the money market hedge. --- ## c-3. **Are you subject to exchange rate risk using money market hedge?** ### **Step 1:** Analyze the hedge - All currency conversions are done at the current spot rate. ### **Step 2:** Conclude **No, you are not subject to exchange rate risk.** **Explanation:** You have locked in your dollar cost by using current spot and interest rates. --- ### **Final Summary Table** | Method | Dollar Cost | Exchange Rate Risk? | |-----------------------|-----------------------|---------------------| | Unhedged ($1.75/€) | $183,750 | Yes | | Unhedged ($1.55/€) | $162,750 | Yes | | Unhedged ($1.65/€) | $173,250 | Yes | | Forward Hedge | $157,500 | No | | Money Market Hedge | $181,958.68 | No | --- **If you need the option hedge or further breakdown, let me know!**

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