Math Problem Statement
A bank is quoting the following exchange rates against the dollar for the Swiss franc and the Australian dollar:
SFr/$ = 1.5960 − 70
A$/$ = 1.7225 − 35
An Australian firm asks the bank for an A$/SFr quote. What cross-rate would the bank quote?
Solution
To calculate the cross-rate between Australian dollars (A$) and Swiss francs (SFr), we will use the given exchange rates for Swiss francs and Australian dollars against the US dollar (USD). The general formula for cross-rates is:
We are given the following exchange rates:
- Swiss francs against USD (SFr/USD) = 1.5960 − 1.5970
- Australian dollars against USD (A$/USD) = 1.7225 − 1.7260
Now, let's compute the A$/SFr cross-rates for both the bid and ask prices:
1. Bid Price for A$/SFr:
- Bid price for A$/SFr = (Bid price of A$/USD) ÷ (Ask price of SFr/USD)
- Bid =
2. Ask Price for A$/SFr:
- Ask price for A$/SFr = (Ask price of A$/USD) ÷ (Bid price of SFr/USD)
- Ask =
Let me calculate these values for you.The cross-rate the bank would quote for A$/SFr is:
- Bid price: 1.0786 A$/SFr
- Ask price: 1.0815 A$/SFr
Would you like more details or have any further questions?
Here are 5 related questions you might find helpful:
- How do cross-rates affect international trade?
- What is the significance of the bid-ask spread in currency exchange?
- How do exchange rates influence a company’s foreign earnings?
- What factors determine the fluctuations in cross-currency rates?
- How are exchange rates set by banks in different countries?
Tip: Understanding how bid and ask prices work in exchange rates is crucial for getting the best deal in currency conversion. Always aim to understand the spread!
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Math Problem Analysis
Mathematical Concepts
Cross-rates
Bid-Ask Spread
Currency Exchange
Formulas
Cross rate (A$/SFr) = A$/USD ÷ SFr/USD
Bid Price for A$/SFr = (Bid price of A$/USD) ÷ (Ask price of SFr/USD)
Ask Price for A$/SFr = (Ask price of A$/USD) ÷ (Bid price of SFr/USD)
Theorems
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Suitable Grade Level
Grades 11-12 (Advanced Finance/Math)
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