Regressions often use pre-orthogonalized regressors. For example, the exposure of a stock's return to exchange-rate changes is conventionally estimated by regression, and often, the market return is included as an additional regressor. By first orthogonalizing the market return on the exchange...

We extend the constant-elasticity regression that is the default choice when equities' exposure to currencies is estimated. In a proper real-option-style model for the exporters' equity exposure to the foreign exchange rate, we argue, the convexity of the relationship implies that the elasticity...