The disconnect between the exchange rate and its macroeconomic fundamentals has been extensively discussed in the literature. It nonetheless continues to pose theoretical and empirical challenges in the literature. This study examines the relationship between the exchange rate and its fundamentals. This study used the monetary model of exchange rate determination developed in the 1970s. The study used the TAR to estimate the exchange change rate behaviour in response to variations in monetary variables. We found that the exchange rates respond to the interest rate differential, consistent with the predictions of the monetary model of exchange rate determination. Furthermore, in all the regimes, the sizes of coefficients are different, which shows that the exchange rate behaviour is non-linear (asymmetric). While the impact of the interest rate differential in regime 1 and 2 leads to exchange rates appreciating although in regime 2 the results are insignificant, this occurs when the exchange rates fluctuate below 0.87 percentage points. In regime 3, on average, a marginal increase in interest rate deferential leads to an exchange rate depreciation. In some instances, the exchange rates respond to the monetary variables’ changes in line with the predictions of the monetary theory of exchange rate determination. An increase in interest rates in some instances leads to an improvement in the value of the exchange rate. However, the conditions are not constant—they vary depending on the state of exchange rate fluctuation.