Behavioral Finance and Market Efficiency

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Stock Market Anomalies

Excess Predictability

  • Excess stock returns are predictable by dividend yield.
  • Size, B/M, and many other factors explain excess returns.
  • Post-Earnings Announcement Drift.
  • Short-Term Momentum: a stock’s past return (1 to 12 months) positively predicts future returns.
  • Long-Term Reversal: a stock’s 3-year past return negatively predicts future returns.

Idiosyncratic Volatility

  • Stocks with higher betas have lower alphas (holds in many asset classes).
  • Stocks with higher idiosyncratic volatility have lower alphas.

Excessive Trading

  • The average household underperforms passive benchmarks, and those who do the worst, trade the most.

Turnover

  • Short-term: high past week volume positively predicts future returns.
  • Long-term: high past year volume negatively predicts future returns.

Disposition Effect

  1. Investors and mutual fund managers tend to sell stocks trading at a gain relative to purchase price, rather than at a loss (advantageous to realize losses for tax purposes).
  2. Effect more pronounced among less sophisticated investors.
  3. In theory, can help explain momentum.
  4. Selling stocks that have recently performed well and holding onto stocks that have recently performed poorly.

Non-participation

  1. Most US households held no stocks at all historically. In 1984, only 28% of households held any stocks (Mankiw and Zeldes (1991)).

Under-Diversification (“Home Bias”)

  1. Investors tend to under-diversify their portfolios (within asset classes and domestic vs international).
  2. In 1989, 30% of US equity-holding households allocated > 50% of their equity exposure to fewer than 10 stocks (Curcuru, Heaton, Lucas, and Moore (2004)).
  3. In 1989, US investors invested 94% of their equity holdings in US equity (French and Poterba (1991)).
  4. In a sample of 154,401(k) retirement plans, people allocated ~23% of discretionary contribution to own company stock (Benartzi (2001)).

Behavioral Finance Concepts

Prospect Theory

  1. Assumes utility is based on changes in current wealth.
  2. Investor is “risk averse” toward portfolio gains and “risk loving” toward losses.

Bubbles

Bubbles tend to be characterized by:

  1. Departure from fundamentals.
  2. High trading volume.
  3. “New Paradigm” narrative.
  4. Short-sale constraints.
  5. Supply Response.

Momentum Outperformance

Explain the behavioral argument for the outperformance of stocks with high momentum, defined by their return in the last year relative to the market (as discussed in class and in the textbook).

The following are acceptable:

  • Disposition effect (sell winners, hold on to losers).
  • Mental accounting leads to disposition effect.
  • Any discussion of under-reaction to initial news.
  • Extrapolation (people tend to overweight recent experience).
  • Conservatism (people too slow to update beliefs).

Financial Concepts

Bond Duration

LONGER DURATION: bonds with lower coupon rates and YTM and longer maturities.

CAPM

  • IF CAPM IS TRUE: no arbitrage opportunities because it assumes all investors are mean-variance optimizers.
  • IF NO ARBITRAGE OPPORTUNITIES: doesn’t necessarily mean CAPM is true because it’s so restrictive.
  • If CAPM holds, all investors hold the same risky portfolio.

Downside Risk Mitigation

Which of the following strategies will help insure your portfolio against downside risk?

  1. Buying as many put options as shares that you have in the underlying asset.
  2. Sell a market value of futures contracts that equates to the market value of the underlying asset, assuming a beta of one.

Efficient Market Hypothesis (EMH)

  1. Price changes are unpredictable (random walks).
  2. Prices only react to new information.
  3. Investors cannot beat the market on a risk-adjusted basis.
  4. Expected returns reflect risk.

Behavioral Finance

  1. It relaxes the assumption of rationality.
  2. It makes the underlying assumption that there are limits to arbitrage that prevent information from being incorporated into prices.
  3. It ties into research about psychology.
  4. Investors thinking that they are better traders than they really are is one of the major biases highlighted by behavioral finance.

Semi-Strong Form Market Efficiency

You want to test if the market is efficient and find that any strategy using public information is not profitable while strategies using insider information are profitable – SEMI-STRONG

ETFs and Mutual Funds

  1. ETF share prices are close to NAV because of arbitrage activities of authorized participants.
  2. Mutual funds pay end-of-day NAV to investors who redeem shares.
  3. Management fees for ETFs are typically at least as low as fees for comparable open-end mutual funds.
  4. ETFs are growing fast but the size of the ETF market is still smaller than open-end mutual funds.

Order Book Example

Bid Price

  • Offer to buy.
  • In an auction market, the highest limit buy order on the book.
  • In a dealer market, the price at which the dealer is willing to buy.

Ask Price

  • Offer to sell.
  • Higher than bid price.

Limit Sell Order Example

Consider a limit sell order for $23.08 for 500 shares.

Asks

Bids

Price

Quantity

Price

Quantity

$23.12

250

$23.09

210

$23.13

150

$23.08

205

$23.14

200

$23.07

194

415 shares are sold at an average price of $23.09 x (210/415) + $23.08 x (205 / 415) = $23.0851.

After the sale, only the $23.07 bid for 194 shares remains on the Bids side and the remaining 85 shares are added to the Asks side for $23.08.