Why housing price should be random walk

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Shiller in his 2013 Nobel laureate lecture mentioned that housing prices should be in a random walk. This article tries to see why Shiller mentioned it! 

The concept that house prices should follow a random walk is derived from the Efficient Market Hypothesis (EMH), which posits that asset prices fully reflect all available information. Here’s a detailed explanation of why house prices are often considered to follow a random walk:

### Efficient Market Hypothesis (EMH)

1. **Information Efficiency**: If the housing market is efficient, all known information about factors affecting house prices (e.g., economic conditions, interest rates, neighborhood developments) is already reflected in current prices. Thus, new information is unpredictable and arrives randomly.

2. **Unpredictability of Future Events**: Future events that impact house prices, such as changes in economic policy, interest rates, or local developments, are inherently uncertain and random. Since these future events are unknown, their impact on house prices is also random.

### Characteristics of a Random Walk

1. **Independent Price Changes**: In a random walk, price changes from one period to the next are independent. This implies that past price movements or trends cannot predict future price movements.

2. **Normal Distribution of Returns**: Over time, the price changes follow a normal distribution, with most changes being small and significant changes being rare but possible in either direction.

### Empirical Evidence

1. **Statistical Studies**: Numerous statistical studies have examined house price changes and found that they exhibit characteristics of a random walk. For instance, the autocorrelation of price changes over time is typically low, indicating that past prices do not predict future prices.

2. **Market Anomalies and Adjustments**: While some anomalies and short-term trends can occur, the market typically adjusts quickly, and these trends do not persist long enough to provide a reliable basis for predicting future prices.

### Practical Implications

1. **Investment Strategy**: If house prices follow a random walk, it suggests that it is difficult to consistently outperform the market through market timing or specific investment strategies. Instead, a buy-and-hold strategy might be more appropriate.

2. **Risk Management**: Understanding that house prices follow a random walk can help manage expectations and risks. Investors should be prepared for the inherent unpredictability and potential volatility in house prices.

### Criticisms and Limitations

1. **Market Inefficiencies**: Some argue that the housing market is not fully efficient due to factors like transaction costs, information asymmetry, and behavioral biases. These factors can cause deviations from a pure random walk.

2. **Long-Term Trends**: Over the long term, house prices might exhibit trends due to underlying economic fundamentals such as population growth, urbanization, and economic development, which can cause deviations from a random walk in the short to medium term.

In summary, the idea that house prices should follow a random walk is rooted in the Efficient Market Hypothesis, which assumes that all available information is already reflected in prices and that future price movements are driven by new, unpredictable information. While this model helps explain the unpredictability of house prices, it also acknowledges the presence of market inefficiencies and long-term trends that can influence price movements.

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