Question

Assume the following exchange rates: $1 = NZ$3, NZ$1 = MXP2, and $1 = MXP7. Given this information, as you and others perform triangular arbitrage, the exchange rate of the New Zealand dollar (NZ) with respect to the Mexican peso (MXP) should ____, and the exchange rate of the Mexican peso (MXP) with respect to the U.S. dollar should ____. a. appreciate; depreciate b. remain stable; appreciate c. appreciate; appreciate d. depreciate; depreciate

Answer 1

Answer:

c. Appreciate; Appreciate

Explanation:

Triangular arbitrage is the act of taking an opportunity resulting from a pricing discrepancy among three different currencies when the currency's exchange rates do not exactly match up

This cases are very rare and for a quite short period of time so there are very few traders who takes the advantange of them.

Lets study th given cases here:

A) NZ dollar Versus Mexican Peso

The exchage rate is 1NZ$= 2 Mexican Pesos (MXP)

But if we apply the triangular arbitrage:

1 NZ dollar = 0.3333 US$

and we know tha 1 US$= 7 Mexican Pesos (MXP

Then 1 NZ dollar = 0.3333* 7 MXP= 2.333 MXP

So the NZ dollar appreciates

B) MXP Versus U$S

The exchage rate is 1 MXP= (1/7) U$S

But if we apply the triangular arbitrage:

1 MXP = 0.5 NZ

and we know tha 1 NZ= 0.333 US$

Then 1 MXP = 0.5* 0.333 U$S= 0.166 U$S

So the MXP appreciates