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