In recent years, advances in the field of unit root tests helped topartially solve the first purchasing power parity puzzle. Non-linearmean-reversion tests with real exchange rates were able to reject thenull of a unit root (indicating mean reversion) in significantly morecases than the standard...

This paper considers the mean-reverting portfolio (MRP) design problem arising from statistical arbitrage (a.k.a. pairs trading) in the financial markets. It aims at designing a portfolio of underlying assets by optimizing the mean reversion strength of the portfolio, while taking into...

We propose a long-term forecast model based on linear growth and mean reversion characteristics in the U.S. stock market. It can forecast future returns of the stock market, Treasury yield, and gold price. The “jubilee” name comes from its optimal trend-following window of 45 years. The...

Research supports the idea that a mean reversion strategy, particularly with a near-zero beta, can be successful. These findings were examined by creating and backtesting an algorithm that would trade autonomously while following a set of instructions with optimized parameters. With the results...

We use the expected lifetime range (ELR) ratio based on the extreme values of asset prices to detect the presence of mean reversion in stock returns. We find that the actual cross-sectional average of the ELR ratio is significantly less than its bootstrap means, thereby indicating a considerable...

A mean-reverting model is often used to capture asset price movements fluctuating around its equilibrium. A common strategy trading such mean-reverting asset is to buy low and sell high. However, determining these key levels in practice is extremely challenging. In this paper, we study the...

This paper shows that there are two regularities in foreign exchange markets in advanced countries with flexible regimes. First, real exchange rates are mean-reverting, as implied by the Purchasing Power Parity model. Second, the adjustment takes place via nominal exchange rates. These features...