India INR interest could be 8.8% while USD earns 1.1% a year. Economically, from an asset pricing perspective, to earn the IR differential (carry trade), you have to assume FX risk, specifically the possible devaluation of INR and INR inflation during the hold period.

In reality, I think INR doesn't devalue by 7.7% as predicted by UIC, but inflation is indeed higher in India.

In a lagged OLS regression, today's IR differential is a reasonable leading indicator or predictor of next year's exchange rate. Once we have the alpha and beta from that OLS, we can also write down the expected return (of the carry trade) in terms of today's IR differential. Such a formula provides a predicted excess return, which means the carry trade earns a so-called "risk premium".

Note, similar to the DP, this expected return is a dynamic risk premium (lead/lag) whereas CAPM (+FamaFrench?) assumes a constant time-invariant expected excess return..

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