9. What is triangular arbitrage? What is a condition that will give rise to a triangular arbitrage
opportunity?
Answer: Triangular arbitrage is the process of trading out of the U.S. dollar into a second
currency, then trading it for a third currency, which is in turn traded for U.S. dollars. The purpose
Most, but not all, currency transactions go through the dollar. Certain banks specialize in
making a direct market between non-dollar currencies, pricing at a narrower bid-ask spread than
10. Over the past five years, the exchange rate between British pound and U.S. dollar, $/£, has
changed from about 1.90 to about 1.45. Would you agree that over this five–year period that
British goods have become cheaper for buyers in the United States?
CFA Guideline Answer:
The value of the British pound in U.S. dollars has gone up from about 1.90 to about 1.45.
PROBLEMS
1. Using the American term quotes from Exhibit 5.4, calculate a cross-rate matrix for the euro,
Swiss franc, Japanese yen, and the British pound so that the resulting triangular matrix is similar
to the portion above the diagonal in Exhibit 5.6.
Solution: The cross-rate formula we want to use is:
S(j/k) = S($/k)/S($/j).
The triangular matrix will contain 4 x (4 + 1)/2 = 10 elements.