A MEASUREMENT OF THE ERRORS IN INTRA-PERIOD COMPOUNDING AND BOND VALUATION

The errors in intra-period compounding and bond pricing are widespread in textbooks, and they also periodically occur in published research. This article deals with the measurement of error and the magnitude of error when, given the market price of other than annual bonds, the yield to maturity is calculated using the incorrect formula. The authors demonstrate that the errors are (1) the result of confusion, not oversight, (2) large in magnitude when the effective yearly interest rate is high, and (3) not symmetrical; that is, the characteristics of the errors when determining yields, given bond prices, differ from the characteristics of the errors when determining bond prices, given interest rates.     

A SIMPLE FORMULA FOR DURATION

This paper presents a simplification of Macaulay's formula for duration. The derivation treats any bond as a portfolio of a coupon bearing bond at par and a zero-coupon bond. The resultant equations are simple to use and show how coupon payments, premiums, and discounts affect duration. The equations are easily modified without loss of simplicity for various coupon payment intervals and for calculations between payment periods.     

Trading strategies based on term structure model residuals

The term structure of interest rates is an important input for basically every pricing model and is mostly calibrated on coupon bond prices. Therefore, the estimated interest rates should accurately explain the market prices of these bonds. However, nearly all empirical papers on interest rate estimation, e.g. Svensson, L.E.O. 1994. Estimating and interpreting forward interest rates: Sweden 1992–1994, IMF Working Paper, International Monetary Fund, report significant pricing errors in their sample. So an important question is what drives these pricing errors of the bonds. One simple explanation would be different tax treatment or different liquidity, but most papers on this research topic, e.g. Elton, E., and T.C. Green. 1998. Tax and liquidity effects in pricing government bonds. Journal of Finance 53: 1533–62, cannot fully explain the observed pricing errors. Therefore, these errors must be at least partially caused by either model misspecification or by the deviation of particular bond prices from general market conditions, i.e. mispricing revealing insufficient market efficiency. We provide empirical evidence for the German government bond market that risk-adjusted trading strategies based on bond pricing errors can yield about 15 basis points p.a. abnormal return compared to benchmark portfolios. Furthermore, the abnormal returns are continuously achieved over the whole time period and not randomly on a few days and show a relation to changes in the level and the curvature of the term structure of interest rates. Therefore, pricing errors contain economic information about deviations of bond prices from general market conditions and are not exclusively caused by model misspecification and/or differences in liquidity and tax treatment of individual bonds.     

Alternative models for hedging yield curve risk: An empirical comparison

We test alternative models of yield curve risk by hedging US Treasury bond portfolios through note/bond futures. We show that traditional implementations of models based on principal component analysis, duration vectors and key rate duration lead to high exposure to model errors and to sizable transaction costs, thus lowering the hedging quality. Also, this quality randomly varies from one model and hedging problem to the other. We show that accounting for the variance of modeling errors substantially reduces both hedging errors and transaction costs for all considered models. Additionally, it leads to much more stable weights in the hedging portfolios and – as a result – to more homogeneous hedging quality. On this basis, error-adjusted principal component analysis is found to systematically and significantly outperform alternative models.     

Initial Evidence on the Role of Accounting Earnings in the Bond Market

We document that: (1) the incidence of bond trade increases during the days surrounding earnings announcements, (2) there is a bond‐price reaction to the announcement of earnings, and (3) there is a positive association between annual bond returns and both annual changes in earnings and annual analysts' forecast errors. All of these effects are larger when earnings convey bad news or when the underlying bond is more risky. Taken together, our results suggest that the nonlinear payoff structure of bond securities affects the role of accounting earnings in the bond market.     

Interest Rate Skewness and Biased Beliefs

Conditional skewness of Treasury yields is an important indicator of the risks to the macroeconomic outlook. Positive skewness signals upside risk to interest rates during periods of accommodative monetary policy and an upward-sloping yield curve, and vice versa. Skewness has substantial predictive power for future bond excess returns, high-frequency interest rate changes around Federal Open Market Committee announcements, and survey forecast errors for interest rates. The estimated expectational errors, or biases in beliefs, are quantitatively important for statistical bond risk premia. These findings are consistent with a heterogeneous-beliefs model in which one of the agents is wrong about consumption growth.     

After-Tax Bond Yields When Tax and Coupon Payments Are Not Simultaneous

Typical after-tax bond yield-to-maturity calculations do not accurately reflect the timing of tax payments for the cash basis tax payer. The best of the methods gives reasonable yield estimates when the first coupon payment date is around May 15. As payment dates vary from May 15, bond values are affected by tax deferrals relating solely to the non-simultaneity of coupon interest and tax payments. These valuation effects, which are not measured by conventional bond models, can be significant, as demonstrated by model simulation and empirical tests which show that the bond market does price the coupon timing tax deferrals predicted by the model.     

A Simple Measure for Examining the Proxy Problem of the Short-Rate

The behavior of a finite-maturity yield used as a proxy for the short-rate can deviate substantially from that of the short-rate, which causes estimation biases of model parameters and pricing errors of interest-rate claims. This study proposes a simple measure that visualizes this deviation based on an analytical approximation of the term structure of interest rates. The computation of the measure is almost as easy as that of an affine model, so the adequacy of proxy can be readily checked even for short-rate models that do not admit closed-forms of bond prices.     

论使用净价进行业绩考核之不合理性

净价虽然能够反映出债券市场收益率的变动和行情的变化，但是却不是一个精确的指标，在实践运用中往往会出现误差。特别是在收益率变动幅度较小的情况下，还会产生严重的方向性错误。因此，建立一个合理有效的债券投资考核体系，除了要继续研究如何推出更有指标意义的债券指数之外，深化金融机构的体制改革，建立内部全面的考核体系，也是必不可少的一环。     

A constrained least square approach to the estimation of the term structure of interest rates

This paper proposes a new practical method for estimating forward rate curves using bond prices available in the market. It is intended to improve the least square estimation method proposed by Carleton and Cooper by imposing additional constraints to guarantee the smoothness of the forward rate curves. The resulting problem is a nonconvex minimization problem, for which we will propose an efficient algorithm for calculating an approximate optimal solution. Computational experiments show that this method can efficiently generate smooth forward rate curves without increasing the residual errors in terms of least square fitting. Also, we will compare this result with an alternative and more efficient constrained least absolute deviation method.     

Unspanned Stochastic Volatility: Evidence from Hedging Interest Rate Derivatives

Most existing dynamic term structure models assume that interest rate derivatives are redundant securities and can be perfectly hedged using solely bonds. We find that the quadratic term structure models have serious difficulties in hedging caps and cap straddles, even though they capture bond yields well. Furthermore, at‐the‐money straddle hedging errors are highly correlated with cap‐implied volatilities and can explain a large fraction of hedging errors of all caps and straddles across moneyness and maturities. Our results strongly suggest the existence of systematic unspanned factors related to stochastic volatility in interest rate derivatives markets.     

Municipal Bond Pricing and the New York City Fiscal Crisis

This paper's findings suggests that the New York City fiscal crisis by itself did not lead to a fundamental change in risk perceptions of investors, resulting in higher interest rates in the municipal bond market. The monthly prediction errors generated by time series tests were relatively small and none were statistically significant. Only the signs on the prediction errors for June, July, and August were consistent with a New York City effect. Thus, if the New York City default had an impact on aggregate interest rates, it was at most small and of short duration.     

Bond Pricing with a Time‐Varying Price of Risk in an Estimated Medium‐Scale Bayesian DSGE Model

New Keynesian model in which households have Epstein–Zin preferences with time‐varying risk aversion and the central bank has a time‐varying inflation target can match the dynamics of nominal bond prices in the U.S. economy well. The model generates a large steady‐state term spread and its fitting errors for bond yields are comparable to those obtained from a nonstructural three‐factor model, and one‐third smaller than in models with a constant inflation target or risk aversion. Including data on interest rates has large effects on variance decompositions, making investment technology shocks much less important than found in other recent papers.     

The Danish stock and bond markets: comovement,return predictability and variance decomposition

VAR models of the kind developed by Shiller and Beltratti [J. Monetary Econ. 30 (1992) 25] and Campbell and Ammer [J. Finance 48 (1993) 3] are used to analyze the Danish stock and bond markets and their comovement. In contrast to these papers, however, VAR parameter estimates are bias-adjusted and VAR generated statistics, including their standard errors and confidence intervals, are computed using bootstrap simulation. In addition, we modify the Campbell–Ammer variance decomposition such that it can handle returns from a long-term coupon bond. Some parts of the results for the Danish stock and bond markets are quite similar to the US results reported by Shiller and Beltratti and Campbell and Ammer, but other parts stand in sharp contrast to the results for the US. The most important differences between the US and Denmark are that in Denmark news about higher future inflation lead to an increase in expected future stock returns, and that excess stock return news and excess bond return news are negatively correlated.     

Measuring the Comparability of Company Accounts Conditionally: A Research Note

Comparability indices summarize the level of comparability between companies at a national and international level, an issue of importance to investors, regulators, and standard setters. Comparability indices can identify areas where comparability is low and where comparability is deteriorating. Furthermore, they can be used to quantify the extent to which initiatives such as International Financial Reporting Standards (IFRS) are successful in raising comparability between company accounts. Despite past literature emphasizing how factors other than country influence accounting methods used by companies, current comparability indices ignore these other factors. This paper introduces new national and international indices within the T index framework to fill this gap in the literature. Formula for the new national and international indices, and their standard errors, are provided. An example using European data is used to demonstrate the calculations and illustrate the importance of controlling for these firm specific factors.     

Term structure estimation and pricing of callable Treasury bonds

This article describes a methodology of term structure estimation incorporating callable Treasury bonds using a bond-option valuation model. This article also examines whether some simple approximation of the option value suffice for providing a useful estimation procedure. The authors find that the errors in estimating the option value can generate significant errors for estimating the discount function. A call provision on a Treasury bond is not negligible at least our framework. This procedure is consistent with two aspects of the Treasury market. First, it provides the discount function that best determines the prices of observed Treasury securities, and second, it obtains a discount function that explains callable Treasuries.     

Stochastic Volatilities and Correlations of Bond Yields

I develop an interest rate model with separate factors driving innovations in bond yields and their covariances. It features a flexible and tractable affine structure for bond covariances. Maximum likelihood estimation of the model with panel data on swaptions and discount bonds implies pricing errors for swaptions that are almost always lower than half of the bid–ask spread. Furthermore, market prices of interest rate caps do not deviate significantly from their no‐arbitrage values implied by the swaptions under the model. These findings support the conjectures of Collin‐Dufresne and Goldstein (2003) , Dai and Singleton (2003) , and Jagnnathan, Kaplin, and Sun (2003) .     

Earnings Management and the Long-Run Underperformance of Firms Following Convertible Bond Offers

Abstract:  This paper examines whether the long-run underperformance of convertible bond issuers can be explained by earnings management, as reflected in discretionary current accruals around the time of the offer. Consistent with the earnings management hypothesis, we find that convertible issuers who adjust their discretionary current accruals to report higher net income in the issue year will generally experience inferior operating and stock return performance over the five-year post-issue period. Our findings indicate that there is some temporary overvaluation of convertible issuers by the stock market, but that the resultant disappointed investors will subsequently correct their valuation errors. The similarity of our results to those reported within the prior literature on initial public offers (IPOs) and seasoned equity offers (SEOs) suggests that the earnings management hypothesis is not unique to stock offers, but that it actually extends to convertible bond offers.     

美元和日元外国债券市场与离岸债券市场比较研究

债券市场对外开放，对于促进人民币跨境使用具有重要意义。文章通过对美元和日元外国债券市场和离岸债券市场的比较研究，发现由于管制落差的存在，离岸债券市场发展明显快于外国债券市场，同时，离岸债券市场发展对在岸的外国债券市场发展具有明显的促进作用。文章指出，应通过减少对在岸外国债券市场的管制、有效利用香港等离岸人民币债券市场的创新优势等手段，进一步促进我国债券市场的对外开放效率和健康发展。     

Habit formation,surplus consumption and return predictability: International evidence

On an international post World War II dataset, we use an iterated GMM procedure to estimate and test the Campbell and Cochrane (1999, By force of habit: a consumption-based explanation of aggregate stock market behavior. Journal of Political Economy 107, 205–251.) habit formation model with a time-varying risk-free rate. In addition, we analyze the predictive power of the surplus consumption ratio for future stock and bond returns. We find that, although there are important cross-country differences and economically significant pricing errors, for the majority of countries in our sample the model gets empirical support in a variety of different dimensions, including reasonable estimates of risk-free rates. Further, for the majority of countries the surplus consumption ratio captures time-variation in expected returns. Together with the price-dividend ratio, the surplus consumption ratio contains significant information about future stock returns, also during the 1990s. In addition, in most countries the surplus consumption ratio is also a powerful predictor of future bond returns. Thus, the surplus consumption ratio captures time-varying expected returns in both stock and bond markets.