A model of mean reversion in stock prices and the Equity Premium Puzzle
No 6gwjq, OSF Preprints from Center for Open Science
In this model, the stock price is determined by two variables: the fundamental value and the current risk preference of people. Suppose that the fundamental value follows Geometric Brownian motion and the function of the risk preference of people follows Ornstein-Uhlenbeck process. There are only two types of asset: money (safe asset) and stocks (risk asset). In this case, the profit rate of equity investment is mean reverting, and long-term investment is more advantageous than short-term investment. The market is arbitrage-free. Also, based on this model, I suggest a solution to the Equity Premium Puzzle.
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