Risk measurement when shares are subject to infrequent trading

When shares are traded infrequently, beta estimates are often severely biased. This paper reviews the problems introduced by infrequent trading, and presents a method for measuring beta when share price data suffer from this problem. The method is used with monthly returns for a one-in-three random sample of all U.K. Stock Exchange shares from 1955 to 1974. Most of the bias in conventional beta estimates is eliminated when the proposed estimators are used in their place.     

Closed-End Funds: A Survey

This survey reviews the evolving literature on closed-end fund discounts. Many studies have attempted to explain the existence and the behavior of the discount to net asset value, emphasizing biases in the calculation of NAV, agency costs, tax-timing options and market segmentation. None has been able to provide a full explanation. As a result, some researchers have found it necessary to resort to models of limited rationality. This gives rise to potential opportunities for exploiting the discount. We summarize the findings from over 70 studies of closed-end funds, and present directions for future research.     

Three centuries of asset pricing

Theory on the pricing of financial assets can be traced back to Bernoulli's famous St Petersburg paper of 1738. Since then, research into asset pricing and derivative valuation has been influenced by a couple of dozen major contributions published during the twentieth century. These seminal works have underpinned the key ideas of mean–variance optimisation, equilibrium analysis and no-arbitrage arguments. This paper presents a historical review of these important contributions to finance.     

GLOBAL EVIDENCE ON THE EQUITY RISK PREMIUM

The size of the equity risk premium—the incremental return that shareholders require to hold risky equities rather than risk-free securities—is a key issue in corporate finance. Financial economists generally measure the equity premium over long periods of time in order to obtain reliable estimates. These estimates are widely used by investors, finance professionals, corporate executives, regulators, lawyers, and consultants. But because the 20th century proved to be a period of such remarkable growth in the U.S. economy, estimates of the risk premium that rely on past market performance may be too high to serve as a reliable guide to the future.
The authors analyze a 103-year history of risk premiums in 16 countries and conclude that the U.S. risk premium relative to Treasury bills was 5.3% for that period—lower than previous studies suggest—as compared to 4.2% for the U.K. and 4.5% for a world index. But the article goes on to observe that the historical record may still overstate expectations of the future risk premium, partly because market volatility in the future may be lower than in the past, and partly because of a general decline in risk resulting from new technological advances and increased diversification opportunities for investors. After adjusting for the expected impact of these factors, the authors calculate forward-looking equity risk premiums of 4.3% for the U.S., 3.9% for the U.K., and 3.5% for the world index. At the same time, however, they caution that the risk premium can fluctuate over time and that managers should make appropriate adjustments when there are compelling economic reasons to think that expected premiums are unusually high or low.     

Ex post: The investment performance of collectible stamps

This paper uses stamp catalogue prices to investigate the returns on British collectible postage stamps over the period 1900–2008. We find an annualized return on stamps of 7.0% in nominal terms, or 2.9% in real terms. These returns are higher than those on bonds but below those on equities. The volatility of stamp prices approaches that of equities. Stamp returns are impacted by movements in the equity market, but the systematic risk of stamps remains low. Stamps partially hedge against unanticipated inflation. Estimates of average after-cost returns for individual investors show that stamps may rival equities in terms of realized performance.     

Risk and Return in the 20th and 21st Centuries

The single most important contemporary issue in finance is the equity risk premium. This drives future equity returns, and is the key determinant of the cost of capital. The risk premium – the expected reward for bearing the risk of investing in equities, rather than in low-risk investments such as bills or bonds – is usually estimated from historical data. This article starts by summarising new evidence on historical returns in twelve major world markets from the authors' recent book, 'The Millennium Book: A Century of Investment Returns'. The authors show that the historical equity risk premium has been lower than previously believed, and argue that the future risk premium is likely to be lower still. They discuss what this implies for the cost of capital, stock market values, and companies' target rates of return. They suggest that many companies are seeking too high a rate of return and thus run the risk of under-investing.     

A brief history of market efficiency

Every finance professional employs the concept of market efficiency. The theory, evidence and counter-evidence focus on a couple of dozen highly influential articles published during the twentieth century. We summarise the origins of and interlinkages between these contributions to the history of finance.     

Stress tests of capital requirements

This paper examines the performance of the leading methods for setting capital requirements for securities firms' trading books. Tests are conducted on a large sample of UK equity market makers' books over a substantial number of periods of equity market stress from 1985 to 1995. The comprehensive and building-block approaches, favoured by US and European regulators, fail to provide effective cover. Only portfolio-based, value-at-risk (VaR) type models are efficient in providing appropriate levels of capital to cover the position risk of equity trading books.