Good point. Exchange rates are a complex system. And one's reactions to them can be individualistic.
When complex systems undergo critical transitions by changing a control parameter λ through a critical value λc, a structural change in the dynamics happens. The previously statistically stable state ceases to exist and the system moves to a different statistically stable state. The system undergoes a bifurcation, which for λ sufficiently close to λc can happen in a limited number of ways rather independent from the details in the governing dynamics.
There are early-warning signals, statistical quantities, which also change before the tipping happens. These are a) critical slowing down (increased autocorrelation); and b) from the Fluctuation-Dissipation Theorem increased variance in the signal. The latter is also termed “loss of resilience”. The two EWSs are statistical equilibrium concepts. Thus, using them as actual predictors of a forthcoming transition relies on the assumption of quasi-stationary dynamics.
Modeling and detecting the critical transition
One can model it by a stochastic process Xt, which, depending on a control parameter λ < 0, is at risk of undergoing a critical transition through a saddle-node bifurcation for λ = λc = 0. The system is initially in a statistically stable state, i.e., it follows some stationary distribution with constant λ = λ0. We are uninformed about the dynamics governing the evolution of Xt but can assume effective dynamics, which, with λ sufficiently close to the critical value λc = 0, can be described by the stochastic differential equation (SDE):
dXt = −(A (Xt −m)2 + λ)dt +σdBt,
where m = μ − √|λ| / A and μ is the stable fixed point of the drift, A is a time scale parameter, Bt is a Brownian motion and σ2 scales the variance.
Thus, it is seems pretty clear that exchanging all your funds into gold, traveling to Switzerland and wearing a false mustache is a good strategy to maximize your traveling dollars.
Happy Travels.
EDIT: never mind. Math error. I forget to carry the 4. So... yeah... just keep on traveling!