Math Problem Statement
Question 1
The following are the foreign currency positions of an FI, expressed in the foreign currency:
Currency
Assets
Liabilities
FX Bought
FX Sold
Swiss franc (Sf)
Sf 127,500
Sf 51,000
Sf 10,200
Sf 15,300
British pound (£)
£ 38,168
£ 16,794
£ 11,450
£ 15,267
Japanese yen (¥)
¥ 7,869,885
¥ 3,147,954
¥ 1,259,181
¥ 9,233,998
The exchange rate of dollars for Sf is 0.98, of dollars for British pound is 1.31, and of dollars for yen is 0.00953.
The following are the foreign currency positions converted to dollars:
Currency
Assets
Liabilities
FX Bought
FX Sold
Swiss franc (Sf)
$ 125,000
$ 50,000
$ 10,000
$ 15,000
British pound (£)
$ 50,000
$ 22,000
$ 15,000
$ 20,000
Japanese yen (¥)
$ 75,000
$ 30,000
$ 12,000
$ 88,000
a. What is the FI’s net exposure in Swiss francs stated in Swiss francs (Sf) and in dollars ($)?
Net Exposure (Swiss Francs): Sf
Net Exposure (US dollars): $
Solution
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Math Problem Analysis
Mathematical Concepts
Currency conversion
Net exposure calculation
Foreign exchange rates
Formulas
Net Exposure = (Assets + FX Bought) - (Liabilities + FX Sold)
Dollar Conversion = Net Exposure (Foreign Currency) × Exchange Rate
Theorems
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Suitable Grade Level
Undergraduate finance or advanced high school economics
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