Math Problem Statement

use the dollar values given in the table

Solution

Let's solve for the net exposure in Swiss francs using the dollar values provided in the table. The steps are similar, but now we will work directly with the dollar amounts given.

  1. Net Exposure Calculation in Dollars ($): The net exposure in dollars for each currency is calculated by summing the dollar equivalents of assets and FX bought, then subtracting the dollar equivalents of liabilities and FX sold.

    For Swiss francs: Net Exposure (US dollars)=(Assets+FX Bought)(Liabilities+FX Sold)\text{Net Exposure (US dollars)} = (\text{Assets} + \text{FX Bought}) - (\text{Liabilities} + \text{FX Sold})

    Plugging in the dollar values from the table: Net Exposure (US dollars)=(125,000+10,000)(50,000+15,000)\text{Net Exposure (US dollars)} = (125,000 + 10,000) - (50,000 + 15,000) =135,00065,000= 135,000 - 65,000 =70,000dollars= 70,000 \, \text{dollars}

  2. Net Exposure in Swiss Francs (Sf): Now, to convert this dollar amount back to Swiss francs, we divide by the exchange rate of 0.98 (since 1 Sf = 0.98 dollars):

    Net Exposure (Sf)=70,0000.98\text{Net Exposure (Sf)} = \frac{70,000}{0.98} =71,428.57Sf= 71,428.57 \, \text{Sf}

Final Answer:

  • Net Exposure (Swiss Francs): 71,428.57 Sf
  • Net Exposure (US dollars): 70,000 $

Would you like any further clarification?

Here are 5 related questions for additional insight:

  1. How would a change in the exchange rate affect the net exposure in dollars?
  2. What would be the impact on the FI's exposure if liabilities increased by 10%?
  3. How does converting to dollar values help in comparing multi-currency exposure?
  4. Why might a financial institution want to hedge its exposure to Swiss francs?
  5. What methods can the FI use to reduce its net exposure to the Swiss franc?

Tip: Converting foreign currency positions into a single currency (like dollars) provides a clearer view of the net exposure across various currencies.

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Math Problem Analysis

Mathematical Concepts

Currency Conversion
Net Exposure Calculation
Exchange Rate

Formulas

Net Exposure (US dollars) = (Assets + FX Bought) - (Liabilities + FX Sold)
Net Exposure (Sf) = Net Exposure (US dollars) / Exchange Rate

Theorems

Currency Conversion Theorem

Suitable Grade Level

Undergraduate Finance or Economics