ECON 3120

Dr. Doris Geide-Stevenson

Fall 2010

**Solution - Assignment #2**

1. Assume that the following spot exchange rates exist today:

British Pound 1 = $1.50

Canadian Dollar CD$ 1 = $ 0.75

British Pound 1 = CD$ 2

Assume no transaction costs. Based on these exchange rates, can triangular arbitrage be used to earn a profit? Explain. Show some calculations.

**No, profitable arbitrage is not possible. If you start with $10,000 and
exchange into British Pound, you receive 6,666.6 pounds. These pounds exchange
to CD$13,333.3 and back into $10,000.**

2. Assume the following information:

Bank X Bank Y

Bid price of New Zealand dollars: $ 0.401 $ 0.398

Ask price of New Zealand dollars: $ 0.404 $ 0.400

Given this information, is locational arbitrage possible? If so, explain the steps that would reflect locational arbitrage, and compute the profit from this arbitrage if you had $1,000,000 to use.

**Locational/spatial arbitrage is profitable. One can buy NZ$ from Bank Y at a rate
of $/NZ$0.4 and sell each NZ$ at $/NZ$0.401. This generates a profit of $2,500 for
each $1 million traded. **

b. Based on the information above, what market forces would occur to possibly change the various bank rates? Explain.

**At Bank Y, an increase in demand for NZ$ is observed. Thus, Bank Y will
increase their ask price of the NZ$. At Bank X, the supply of NZ$ will be high.
Thus, Bank X will lower their bid price for the NZ$. These price adjustments
will work to eliminate opportunities for profitable arbitrage. **