The literature on exchange rate forecasting and the out of sample evaluation has basically started with the work by Meese and Rogoff (1983). They were the first to show that the basic random walk model outperforms other economic models of exchange rate in terms of forecasting.
The last global recession raised concerns about the ability of macroeconomists to predict crises of such magnitude. Certainly, the forecasting is not the main focus of macroeconomics. I would say that, at least nowadays, it is of rather marginal interest to academic macroeconomists. A proof in this sense is provided by the very low number of publications related to macroeconomic forecasting.
The economic science came under fire during the last financial and economic crisis for many reasons. One thing that came frequently under attention was the supposedly inability of economists to predict the crisis. Well, it seems that the crisis was predicted to a certain extent by some economists, at least that’s what the paper by Bezemer shows.
I discussed in a previous post about the shortcomings of the Big Mac Index and how these issues might lead to misuses of this index. As one would expect, there is a thin academic literature which discusses or uses the Big Mac Index, however the studies that exist make some interesting points which deserve to be mentioned.