Time to wealth goals in capital accumulation

This paper considers the problem of investment of capital in risky assets in a dynamic capital market in continuous time. The model controls risk, and in particular the risk associated with errors in the estimation of asset returns. The framework for investment risk is a geometric Brownian motion model for asset prices, with random rates of return. The information filtration process and the capital allocation decisions are considered separately. The filtration is based on a Bayesian model for asset prices, and an (empirical) Bayes estimator for current price dynamics is developed from the price history. Given the conditional price dynamics, investors allocate wealth to achieve their financial goals efficiently over time. The price updating and wealth reallocations occur when control limits on the wealth process are attained. A Bayesian fractional Kelly strategy is optimal at each rebalancing, assuming that the risky assets are jointly lognormal distributed. The strategy minimizes the expected time to the upper wealth limit while maintaining a high probability of reaching that goal before falling to a lower wealth limit. The fractional Kelly strategy is a blend of the log-optimal portfolio and cash and is equivalently represented by a negative power utility function, under the multivariate lognormal distribution assumption. By rebalancing when control limits are reached, the wealth goals approach provides greater control over downside risk and upside growth. The wealth goals approach with random rebalancing times is compared to the expected utility approach with fixed rebalancing times in an asset allocation problem involving stocks, bonds, and cash.     

The New Issues Puzzle

Companies issuing stock during 1970 to 1990, whether an initial public offering or a seasoned equity offering, have been poor long-run investments for investors. During the five years after the issue, investors have received average returns of only 5 percent per year for companies going public and only 7 percent per year for companies conducting a seasoned equity offer. Book-to-market effects account for only a modest portion of the low returns. An investor would have had to invest 44 percent more money in the issuers than in nonissuers of the same size to have the same wealth five years after the offering date.     

Risk and Return Around Bond Rating Changes: New Evidence From the Spanish Stock Market

Abstract:  This study analyzes the effect of corporate bond rating changes on stock prices in the Spanish stock market. We explore their effects on excess of returns and systematic risk. Rating changes by Moody's, Standard and Poor's and FitchIBCA are analyzed. On an efficient market, these changes will only have some effect if they contain some new information or if they are associated to a redistribution of wealth between shareholders and bondholders. We use an extension of the event study dummy approach. Our results support the redistribution of wealth hypothesis in the abnormal returns behavior. We also find that changes in both directions cause a rebalancing effect in the total risk of the firm, with significant reductions on their systematic component.     

Demographic Change and Pharmaceuticals' Stock Returns

We analyse how demographic change affected profits and returns across pharmaceutical industries over the last 20 years. Fluctuations in different age group sizes influence the estimated demand changes for age‐sensitive drugs, such as antibacterials for young, antidepressants for middle‐aged, and antithrombotics for old people. These demand changes are predictable as soon as a specific age group is born. We use consumption and demographic data to forecast future consumption demand growth for drugs caused by demographic changes in the age structure. We find that long‐term forecast demand changes predict abnormal annual pharmaceutical stock returns for more than 60 firms over the time period from 1986 to 2008. An increase by one percentage point of annual demand growth due to demographic changes predicts an increase in abnormal yearly stock returns in the size of 3–5 percentage points. Short‐term forecast demand changes does predict negative abnormal stock returns for a time horizon below 5 years. A trading strategy taking advantage of the demographic information earns a significant abnormal return between 6 and 8 percentage points per year. Our results are consistent with the model by DellaVigna and Pollet (2007) , where investors are inattentive with extrapolation in the distant future and overreact to information in the near future.     

Can Investors Profit from the Prophets? Security Analyst Recommendations and Stock Returns

We document that purchasing (selling short) stocks with the most (least) favorable consensus recommendations, in conjunction with daily portfolio rebalancing and a timely response to recommendation changes, yield annual abnormal gross returns greater than four percent. Less frequent portfolio rebalancing or a delay in reacting to recommendation changes diminishes these returns; however, they remain significant for the least favorably rated stocks. We also show that high trading levels are required to capture the excess returns generated by the strategies analyzed, entailing substantial transactions costs and leading to abnormal net returns for these strategies that are not reliably greater than zero.     

Is Information Risk a Determinant of Asset Returns?

We investigate the role of information–based trading in affecting asset returns. We show in a rational expectation example how private information affects equilibrium asset returns. Using a market microstructure model, we derive a measure of the probability of information–based trading, and we estimate this measure using data for individual NYSE–listed stocks for 1983 to 1998. We then incorporate our estimates into a Fama and French (1992) asset–pricing framework. Our main result is that information does affect asset prices. A difference of 10 percentage points in the probability of information–based trading between two stocks leads to a difference in their expected returns of 2.5 percent per year.     

SYMMETRIC VERSUS ASYMMETRIC CONDITIONAL COVARIANCE FORECASTS: DOES IT PAY TO SWITCH?

Volatilities and correlations for equity markets rise more after negative returns shocks than after positive shocks. Allowing for these asymmetries in covariance forecasts decreases mean‐variance portfolio risk and improves investor welfare. We compute optimal weights for international equity portfolios using predictions from asymmetric covariance forecasting models and a spectrum of expected returns. Investors who are moderately risk averse, have longer rebalancing horizons, and hold U.S. equities benefit most and may be willing to pay around 100 basis points annually to switch from symmetric to asymmetric forecasts. Accounting for asymmetry in both variances and correlations significantly lowers realized portfolio risk.     

Infrequent Rebalancing,Return Autocorrelation,and Seasonality

A model of infrequent rebalancing can explain specific predictability patterns in the time series and cross‐section of stock returns. First, infrequent rebalancing produces return autocorrelations that are consistent with empirical evidence from intraday returns and new evidence from daily returns. Autocorrelations can switch sign and become positive at the rebalancing horizon. Second, the cross‐sectional variance in expected returns is larger when more traders rebalance. This effect generates seasonality in the cross‐section of stock returns, which can help explain available empirical evidence.     

Expected long-term rates of return when short-term returns are serially correlated

When short-term returns are serially uncorrelated, expected long-term and short-term returns are equal. However, we show that negative serial correlation among the short-term returns make the expected long-term returns lower than the short-term ones. Such serial correlation is likely to arise, for example, for an investor whose portfolio is invested abroad in assets denominated in foreign currencies, but who wants to make withdrawals in proportion to the fund's value in the domestic currency, and the exchange rate obeys long-term purchasing-power parity. Small-country sovereign wealth funds are leading examples of such investors. For the Norwegian GPFG, the expected annualized long-term rate of return in Norwegian kroner may be 0.7 to 1.8 percentage points lower than the expected short-term return. Negative contemporaneous correlation between global returns and changes in the real exchange rate may dampen and even reverse this result. Empirical evidence suggests that this may be the case for investors in USD-denominated assets domiciled in the United Kingdom, but not for investors domiciled in Norway or Germany. Empirically, we furthermore find that long-term annualized returns may fall short of short-term returns even when evaluated in real USD. Although negative serial correlation also shrinks the long-term variance, funds such as the GPFG should calibrate withdrawals to the expected long-term returns rather than the short-term ones.     

Hedge funds,managerial skill,and macroeconomic variables

This paper evaluates hedge fund performance through portfolio strategies that incorporate predictability based on macroeconomic variables. Incorporating predictability substantially improves out-of-sample performance for the entire universe of hedge funds as well as for various investment styles. While we also allow for predictability in fund risk loadings and benchmark returns, the major source of investment profitability is predictability in managerial skills. In particular, long-only strategies that incorporate predictability in managerial skills outperform their Fung and Hsieh (2004) benchmarks by over 17% per year. The economic value of predictability obtains for different rebalancing horizons and alternative benchmark models. It is also robust to adjustments for backfill bias, incubation bias, illiquidity, fund termination, and style composition.     

THE WEALTH EFFECTS OF TRACKING STOCK RESTRUCTURINGS

We provide a comprehensive examination of the post‐issue wealth effects of 29 completed tracking stock restructurings. We document that for the parent stock and for the combined firm, tracking stock restructurings lead to insignificant long‐term excess returns. However, we find that shareholders of tracking stocks realize significant post‐issue wealth losses. Unlike spin‐offs and carve‐outs, announcements of tracking stock restructurings are preceded by negative one‐year excess returns, and unlike the positive post‐issue long‐term excess returns to spin‐off stocks and the insignificant long‐term excess returns to carve‐out stocks, tracking stocks experience negative long‐term excess returns.     

WHO WINS IN LARGE STOCK BUYBACKS – THOSE WHO SELL OR THOSE WHO HOLD?

Both fixed-price and dutch auction repurchases offer large premiums over current values to tendering shareholders. And, because announcements of such offers are generally accompanied by significant increases in stock prices, economists view selftender offers as mechanisms for signaling undervaluation. Using samples of fixed-price and dutch auction self-tender offers from the 1980s, this study attempts to answer the following questions: Are non-tendering shareholders fully compensated for the premium wealth transfer by the increase in the intrinsic value of their shares? Since fixed-price offers feature larger premiums, are they accompanied by larger increases in intrinsic value (or do insiders have a tendency to “overpay” in fixed-price offers)? Is the premium wealth transfer a big component of the returns to the two shareholder groups—and what percentage of firm value does the transfer represent? The findings of this study, unlike those reported by earlier research, suggest that the two types of offers generate roughly the same total returns (about 10–11%, on average, during the offering period) to shareholders who do not tender. Fixed-price offers involve considerably larger premiums (over the new, “full-information” price) and wealth transfers than dutch auctions. Reflecting the higher premiums, shareholders tendering into fixed-price offers receive higher returns than those tendering into dutch auctions (13.8% vs. 11.3% during the announcement period). But while fixed-price offers involve a considerably larger wealth transfer from non-tendering to tendering shareholders, fixed-price repurchases compensate the non-tendering shareholders for the larger wealth transfer with larger increases in “intrinsic value,” thus generating the same total return as dutch auctions. Moreover, despite the large premiums offered in both types of offers, the wealth transfer implicit in the premium represents a small cost (less than 1% in fixed-price offers, and less than 0.1% in dutch auctions) to non-tendering shareholders.     

The role of correlation dynamics in sector allocation

This paper assesses the economic value of modeling conditional correlations for mean–variance portfolio optimization. Using sector returns in three major markets we show that the predictability of models describing empirical regularities in correlations such as time-variation, asymmetry and structural breaks leads to significant performance gains over the static covariance strategy. Investors would be willing to pay a fee of up to 983 basis points to switch from the static to the dynamic correlation portfolio and about 100 basis points more for capturing asymmetries and shifts in correlations. The gains are robust to the crisis, transaction costs and are most pronounced for monthly rebalancing.     

Stock and bond market interactions with level and asymmetry dynamics: An out-of-sample application

We model the dynamic interaction between stock and bond returns using a multivariate model with level effects and asymmetries in conditional volatility. We examine the out-of-sample performance using daily returns on the S&P 500 index and 10 year Treasury bond. We find evidence for significant (cross-) asymmetries in the conditional volatility and level effects in bond returns. The out-of-sample covariance matrix forecasts of the model imply that an investor is willing to pay between 129 and 820 basis points per year for using a dynamic trading strategy instead of a passive strategy.     

Uncovered Equity Parity and rebalancing in international portfolios

Portfolio rebalancing is a key driver of the Uncovered Equity Parity (UEP) condition. According to UEP, when foreign equity holdings outperform domestic holdings, domestic investors are exposed to higher exchange rate exposure and hence repatriate some of the foreign equity to decrease their exchange rate risk. By doing so, foreign currency is sold, leading to foreign currency depreciation. We examine the relationship between U.S. investors' portfolio reallocations and returns and find some evidence consistent with UEP: Portfolio shifts are related to past returns in the underlying equity markets. But we argue that a motive other than reducing currency risk exposure is likely behind this rebalancing. In particular, U.S. investors rebalance away from equity markets that recently performed well and move into equity markets just prior to relatively strong performance, suggesting tactical reallocations to increase returns rather than reduce risk.     

The efficiency of the buy-write strategy: Evidence from Australia

We examine the performance of the buy-write option strategy (BWS) on the Australian Stock Exchange and analyse whether such an investment opportunity violates the efficient market hypothesis on the basis of its risk and returns. This study investigates the relationship between buy-write portfolios returns and past trading volume and other fundamental financial factors including dividend yield, firm size, book to market ratio, earnings per share (EPS), price earnings ratio and value stocks within these portfolios. We also test the profitability of the buy-write strategy during bull and bear markets. Consistent with the literature, it is observed that BWS offers superior risk adjusted returns for low levels of out-of-moneyness and contrary evidence is observed for deeper out-of-money portfolios. Consistent with a preference for options with a maturity of around 3 months in Australia, this research shows that quarterly rebalancing periods offer better returns for the BWS.     

The Gender Gap in Housing Returns

Using detailed transactions data across the United States, we find that single women earn 1.5 percentage points lower annualized returns on housing relative to single men. Forty-five percent of the gap is explained by transaction timing and location. The remaining gap arises from a 2% gender difference in execution prices at purchase and sale. Consistent with a negotiation channel, women list for less and experience worse negotiated discounts. The gender gap shrinks in tight markets, where negotiation is replaced by quasi-auctions. Overall, gender differences in housing explain 30% of the gender gap in wealth accumulation for the median household.     

A preliminary look at gains from asset securitization

This paper conducts tests of stockholder and bondholder wealth changes upon the securitization of non-government guaranteed assets for 236 transactions during the years 1991–1996. It finds that securitization is significantly wealth creating for stockholders, adding ∼5% per transaction to the excess returns of the stock. It finds, on a subsample of 137 transactions, that securitization is not wealth destroying for bondholders, adding an insignificant 0.21% to bondholders wealth. The effects on stockholders are larger for manufacturers than for banks and finance companies. Securitizations from corporations with poorer credit standing are subject to larger gains for asset sellers. We interpret these findings to mean that, for the frequent securitizers that form most of the observations in our sample, a comparative advantage in asset origination and servicing rather than wealth appropriation from bond holders explains the gains from securitization.     

Windfall gains and stock market participation

We exploit the randomized assignment of lottery prizes in a large administrative Swedish data set to estimate the causal effect of wealth on stock market participation. A $150,000 windfall gain increases the stock market participation probability by 12 percentage points among prelottery nonparticipants but has no discernible effect on prelottery stock owners. A structural life cycle model significantly overpredicts entry rates even for very high entry costs (up to $31,000). Additional analyses implicate pessimistic beliefs regarding equity returns as a major source of this overprediction and suggest that both recent and early-life return realizations affect beliefs.     

Portfolio rebalancing in general equilibrium

This paper develops an overlapping generations model of optimal rebalancing where agents differ in age and risk tolerance. Equilibrium rebalancing is driven by a leverage effect that influences levered and unlevered agents in opposite directions, an aggregate risk tolerance effect that depends on the distribution of wealth, and an intertemporal hedging effect. After a negative macroeconomic shock, relatively risk-tolerant investors sell risky assets, while more risk-averse investors buy them. Owing to interactions of leverage and changing wealth, however, all agents have higher exposure to aggregate risk after a negative macroeconomic shock and lower exposure after a positive shock.