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Linking the volume and expected return implications of various models to the

Halloween effect explanations, we will be able to differentiate one from another. The

vacation explanation argues that investors taking vacations during summer months

results in changes in risk aversion, or risk sharing capacity, in the economy (Bouman &

Jacobsen, 2002). The idea is consistent with the exogenous liquidity demand outlined in

Campbell, Grossman and Wang (1993). In particular, investors that do not take

vacations will have constant risk aversion (type A), and investors that take summer

vacations will have seasonal time varying risk aversion (type B). Prior to taking a

vacation, type B investors may become more risk averse and demand less risky assets as

they would rather be spending time relaxing than paying attention to the stock market,

or they may simply liquidate the stocks to meet their increased cash needs due to their

vacations. Type A investors would only be willing to buy risky assets if they are offered

them in conjunction with higher expected returns. This liquidity demand and shift in

expected returns is expected to occur prior to, during and after the investor takes

vacations, which should correspond with the volume related return reversals (lower

current returns accommodated with high volume and higher expected future returns).

If we also allow for heterogeneous beliefs, as investors pay less attention to the stock

market and trade less during vacations, we would expect to see less trading activities

accompanied with lower returns in the vacation season, as in Hong and Yu (2009).

The SAD effect examined in Kamstra, Kramer and Levi (2003) is relatively easy to

distinguish from other effects by investigating the trading volume patterns, since the

affected by seasonal affective disorder (SAD) become depressed during the fall months

and demand higher risk premia during winter months, causing this seasonal stock

market return pattern. While both the vacation and SAD effects suggest the same return

seasonals, they imply very different trading patterns from investors. According to the

model in Campbell, Grossman and Wang (1993), investors affected by SAD would sell

stocks starting in autumn when exposure to daylight decreases, inducing stronger

volume related return reversals. During the period with relatively less daylight, with a

smaller number of investors in the market, we would expect less trading with lower

returns.

Two recent studies attempt to establish the link between vacations and trading

activities to understand this seasonal return pattern. Using stock market trading data in

Finland, Kaustia and Rantapuska (2012) show that the seasonal variation in the buy-sell

ratio and trading volume are unrelated to length of daylight and sunniness, but related to

summer vacation seasons. They find that individual investors sell stocks before and

during summer holidays (May-July) and purchase stocks during fall months (August-

October). In addition, trading volume drops for both individual investors and

institutions during the holiday months of May-August. Similarly, Hong and Yu (2009)

document that trading activities during summer months (July-September for Northern

Hemisphere countries and January-March for Southern Hemisphere countries) are

significantly reduced from the rest of the year, accompanied by lower stock returns. One

important link these studies fail to establish is, however, a strong assumption that

summer months are correlated with a higher number of people taking vacation, while

uncorrelated with other variables that may affect trading. Although summer months are

proxy for high vacation activities, since a simple summer dummy may actually pick up

other variations unrelated to vacation taking. For example, Cao and Wei (2005) find

stock returns are negatively related to temperatures because investors become more

aggressive in risk taking when temperatures are low, leading to higher winter month

returns. This argument suggests that cold weather is associated with higher trading

activities and higher returns. The trading volume and return pattern documented in

Hong and Yu (2009) would also be consistent with this temperature hypothesis, in

which summer is also a proxy for high temperature, resulting in the relatively lower

trading volume and returns. Another example is Gerlach (2007), who claims that the

Halloween effect is partially induced by more macroeconomic news arrivals during fall

months, with the seasonal pattern disappearing if the returns are examined only using

the 60% of trading days with no macroeconomic announcements. This implies that low

trading volumes and returns during summer months could be due to the lower news

arrival rate in summer instead of vacation taking activities. In addition, Ogden (2003)

documents annual seasonal cycles of macroeconomic variables in the US market and

finds that the predictive power of stock returns for quarters ending in December and

March is greater than those ending in June and September, indicating that stock markets

are more informative during winter months than summer months and investors forecast

macroeconomic and risk conditions to pricing security only during winter months. In

addition, the forecasting variables that are supposed to capture expected risk premium

only have predictive power over the six months from October through March, indicating

that stock prices may only be priced correctly from October through March. Adopting a

simple summer dummy might attribute all these endogenous variations of economic

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