held by the fund in excess of the overpricing implied by the stocks in the fund’s benchmark portfolio.
✓
is the investment weight of stock in fund in quarter
✓
is the investment weight of stock in fund’s benchmark portfolio in quarter
✓
is the stock-level overpricing measure for stockin quarter
The 11 anomalies consist of failure probability (e.g., Campbell et al. 2008, Chen et al. 2011)
O-Score (Ohlson 1980, Chen et al. 2011), net stock issuance (Ritter 1991, Loughran and Ritter
1995), composite equity issuance (Daniel and Titman 2006), total accruals (Sloan 1996), net
operating assets (Hirshleifer et al. 2004), momentum (Jegadeesh and Titman 1993), gross
profitability (Novy-Marx 2013), asset growth (Cooper et al. 2008), return on assets (Fama and
French 2006), and abnormal capital investment (Titman et al. 2004).
More overpriced stocks with higher failure probability, higher O-Score, higher net stock
issuance, higher composite equity issuance, higher total accruals, higher net operating assets,
higher asset growth, and higher abnormal capital investment.
And lower past six-month returns, lower gross profitability, lower return on assets.
Ranks are normalized to follow a [0, 1] uniform distribution. We denote this stock-level
overpricing measure for stock i in quarter q as
.
2.2. AFO Decomposition
To better understand the active fund overpricing measure,
is decomposed into the product of
three components:
✓
measures the correlation between the benchmark-adjusted
investment weight of stock in fund and overpricing of stock.
Positive
implies that fund f actively deviates from benchmark portfolio weights
by tilting its holdings toward more overpriced stocks and away from less overpriced stocks.
✓
measures the standard deviation of benchmark- adjusted
investment weight.
A higher
stands for greater deviation from the corresponding benchmark
weights and hence more active investment.
✓
measures the cross-sectional standard deviation of stock level overpricing
among the stocks in the universe of fund .
It broadly defines the investment opportunities in terms of stock overpricing among all the
stocks that mutual funds can potentially invest.
2.3. Data Sources and Sample Description
✓ Daily and monthly common stock data are from the (CRSP) database.
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