What drives the performance of convertible-bond funds?

This paper examines the performance of US mutual funds that invest primarily in convertible bonds. Multivariate cross-sectional analyses show a significant relation between a fund’s performance and its asset composition: the higher the difference in the percentage of assets invested in convertible bonds compared to the percentage invested in stocks, the higher the performance, on average. We show that this result can be explained by factors associated with investment opportunities in the convertible-bond market and trading strategies related to convertible arbitrage, as typically performed by hedge funds. Overall, convertible-bond fund performance measured by alpha is comparable to a passive investment in stocks, bonds, and convertible bonds. This performance is the result of weak selection skills and successful timing strategies related to convertible arbitrage.     

中美可转换债券比较研究

通过对中国和美国的可转换债券市场的规模、条款、风险收益特征和套利机会进行对比分析,结果表明中国可转债市场规模仍远不及美国,尤其对创新性中小企业融资需求的支持上差距更大。中国可转债的条款设计更多替发行人考虑,而较少关注投资者的需求,具有明显的扩股融资动机。从风险收益特征和套利机会来看,发现美国可转换债券市场的债性凸显,股性较弱,而中国可转换债券市场具有偏股性。     

Why are convertible bond announcements associated with increasingly negative issuer stock returns? An arbitrage-based explanation

While convertible offerings announced between 1984 and 1999 induce average abnormal stock returns of −1.69%, convertible announcement effects over the period 2000–2008 are more than twice as negative (−4.59%). We hypothesize that this evolution is attributable to a shift in the convertible bond investor base from long-only investors towards convertible arbitrage funds. These funds buy convertibles and short the underlying stocks, causing downward price pressure. Consistent with this hypothesis, we find that the differences in announcement returns between the Traditional Investor period (1984–1999) and the Arbitrage period (2000–September 2008) disappear when controlling for arbitrage-induced short selling associated with a range of hedging strategies. Post-issuance stock returns are also in line with the arbitrage explanation. Average announcement effects of convertibles issued during the Global Financial Crisis are even more negative (−9.12%), due to a combination of short-selling price pressure and issuer, issue, and macroeconomic characteristics associated with these offerings.     

Arbitrage pricing of defaultable game options with applications to convertible bonds

This paper is the first in a series that we devote to studying the problems of valuation and hedging of defaultable game options in general, and convertible corporate bonds in particular. Here, we present mathematical foundations for our overall study. Specifically, we provide several results characterizing the arbitrage price of a defaultable game option in terms of relevant Dynkin games. In addition, we provide important results regarding price decomposition of defaultable options. These general results are then specified to the case of convertible bonds, yielding in particular a decomposition of convertible bonds in an optional and a bond component.     

An arbitrage model of the term structure of interest rates

A formula for the price of default-free discount bonds of all maturities is found using a Black- Scholes type of arbitrage model which is based on the assumption that a portfolio of three default-free discount bonds of distinct maturities can be managed to be a perfect substitute for any other default-free discount bond. The formula relates the price of bonds to the real rate of interest, the anticipated rate of inflation and the equilibrium prices of interest rate and inflation risks. Bond prices are shown to be the expected value of the sure nominal proceeds of the bond discounted to the present at a random discount rate. It is shown that the unbiased expectations hypothesis is in general inconsistent with this model.     

我国资本市场可转债定价及后市走势研究

从1992年发行第一只可转换公司债券(以下简称“可转债”)至今,中国可转债市场已经历了二十多年的发展。自诞生以来,中国监管机构对可转债的发行要求不断明确,配套监管措施不断完善,可转债市场迅速发展,发行规模不断提高。然而,在2017年以前,虽然可转债的发行规模增长迅速,但其融资总额占资本市场股权产品总融资规模的比重仍处于较低水平。究其原因,一方面是因为可转债的发行主体仅限于上市公司,股权融资存在较大的不确定性;同时可转债的定价条款过于复杂,市场接受程度较低。随着2017年证监会对可转债产品的审核标准进一步明确,可转债发行规模高速增长,目前已成为资本市场上不可忽视的品种。为确定可转债定价方式,本文以“广汽转债”历年来的市场价格为数据基础,以B-S模型为分析模型,通过实证分析寻求影响可转债定价的主要因素,对未来可转债定价的研究具有一定的借鉴意义。     

Convertible Bond Arbitrage: Risk and Return

Abstract:  This paper specifies a simulated convertible bond arbitrage portfolio to characterise the risks in convertible bond arbitrage. For comparison the risk profile of convertible bond arbitrage hedge fund indices at both monthly and daily frequencies is also examined. Results indicate that convertible bond arbitrage is positively related to default and term structure risk factors. These risk factors are augmented with the simulated convertible bond arbitrage portfolio, mimicking a passive investment in convertible bond arbitrage, to assess the risk and return of individual hedge funds. We provide estimates of the performance of two hedge fund indices (an equally weighted and value weighted index) and a sample of convertible bond arbitrage hedge funds using a factor model methodology. Lagged and contemporaneous observations of the risk factors are specified, controlling for illiquidity in the securities held by funds. Our results cover two time periods. Initially we find evidence of abnormal risk adjusted returns in the individual hedge fund data and the equally weighted hedge fund index and no evidence of abnormal risk adjusted returns in the value weighted hedge fund index. When we examine performance during the credit crisis of 2007 and 2008 we find evidence of negative abnormal returns amongst individual hedge funds and the hedge fund indices.     

Callable or convertible debt? The role of debt overhang and covenants

We analyze what role debt overhang and covenants have in a manager’s choice between issuing callable or convertible debt when a firm needs to issue a substantial amount of debt. Callable bonds provide a higher coupon in exchange for a repurchase option. Convertible bonds offer bondholders the option to exchange debt to equity. Using a dynamic capital structure model with investment choice, we find that callable debt implies a larger debt overhang friction, and for highly leveraged firms convertible debt is preferred. Moreover, if outstanding bonds have net-worth covenants attached, callable bonds are more likely to be issued. Our empirical findings support the theory.     

Risk and return in convertible arbitrage: Evidence from the convertible bond market

In this paper, we identify and document the empirical characteristics of the key drivers of convertible arbitrage as a strategy and how they impact the performance of convertible arbitrage hedge funds. We show that the returns of a buy-and-hedge strategy involving taking a long position in convertible bonds (“CBs”) while hedging the equity risk alone explains a substantial amount of these funds' return dynamics. In addition, we highlight the importance of non-price variables such as extreme market-wide events and the supply of CBs on performance. Out-of-sample tests provide corroborative evidence on our model's predictions. At a more micro level, larger funds appear to be less dependent on directional exposure to CBs and more active in shorting stocks to hedge their exposure than smaller funds. They are also more vulnerable to supply shocks in the CB market. These findings are consistent with economies of scale that large funds enjoy in accessing the stock loan market. However, the friction involved in adjusting the stock of risk capital managed by a large fund can negatively impact performance when the supply of CBs declines. Taken together, our findings are consistent with convertible arbitrageurs collectively being rewarded for playing an intermediation role of funding CB issuers whilst distributing part of the equity risk of CBs to the equity market.     

Convertible bond arbitrage,liquidity externalities,and stock prices

In the context of convertible bond issuance, we examine the impact of arbitrage activity on underlying equity markets. In particular, we use changes in equity short interest following convertible bond issuance to identify convertible bond arbitrage activity and analyze its impact on stock market liquidity and prices for the period 1993 to 2006. There is considerable evidence of arbitrage-induced short selling resulting from issuance. Moreover, we find strong evidence that this activity is systematically related to liquidity improvements in the stock. These results are robust to controlling for the potential endogeneity of arbitrage activity.     

UNITS OF DEBT WITH WARRANTS: EVIDENCE OF THE “PENALTY-FREE” ISSUANCE OF AN EQUITY-LIKE SECURITY

While units of debt with warrants are not structured as perfect substitutes for convertible bonds, there is reason to believe that firms view the two securities as viable alternative methods of raising funds. Analyses of the capital market effects of the announcement of the plan to issue and the issuance of units of debt with warrants provide unique evidence of the “penalty-free” issuance of an equity-like security. Evidence is found to support the conjecture that units are typically issued by smaller, riskier firms than are convertible bonds. However, there is no evidence that the use of this security is interpreted by the market as a sign of financial distress.     

THE CHOICE AMONG DEBT,EQUITY, AND CONVERTIBLE BONDS

The hybrid nature of convertible bonds continues to interest corporate financial managers, investors, and economists. While much theoretical and empirical research examines an issuer's choice between using straight debt and equity, little research evaluates how an issuer chooses among debt, equity, and convertible bonds. This study extends Marsh's [ 13 ] research on the differences between debt and equity issuers in the United Kingdom by examining U.S. industrial firms that issue debt, equity, or convertible bonds. It also illustrates how various distinguishing features influence the probability that each security will be issued.     

What we do and do not know about convertible bond financing

We review the literature on the issuance motives, shareholder wealth effects, and design of convertible bonds. Empirical studies on convertible debt issuance mainly focus on testing the predictions of four traditional theoretical models based on convertibles' potential to mitigate agency or adverse selection costs, and obtain mixed evidence. Recent studies on shareholder wealth effects of convertible bond issues highlight the need to control for arbitrage-related short selling and post-issuance risk changes. Studies on the determinants of convertible bond design uncover earnings management, as well as catering incentives to convertible arbitrage funds, as important determinants of innovations in convertible bond characteristics. Overall, our review indicates that recent empirical research on convertible debt provides valuable insights into issue motives and determinants of financial innovations, but also considers the broader question of how investor demand characteristics impact corporate finance decisions. We conclude with an overview of potential research questions to be addressed by future research on hybrid securities.     

The effect of issuance documentation disclosure and readability on liquidity: Evidence from green bonds

This paper investigates the potential effects of the disclosure and the readability of a green bond’s issuance documentation on its liquidity. Using a sample of 274 green bonds issued by both corporate and financial issuers (102 unique firms) worldwide (23 countries) from 2011 to 2018, we show that both the disclosure of green bond frameworks and annual reports and their readability increase the bond’s liquidity. Our results are robust to checks for endogeneity and to alternative estimation techniques. Both disclosure and readability have a more important impact on liquidity for bonds issued by nonfinancial (vs. financial) issuers, bonds with longer maturities, and those with lower credit ratings.     

Price discovery on traded inflation expectations: does the financial crisis matter?

We analyze contributions of different markets, related by an approximate arbitrage relationship, to price discovery on traded inflation expectations and how it changed during the financial crisis. We use a new high-frequency data-set on inflation-indexed and nominal government bonds as well as inflation swaps to calculate information shares of break-even inflation rates in the euro area and the USA. In the euro area, for maturities up to 5 years new information comes from both the swap and the bond markets. For longer maturities, the swap market provides less and less information in the euro area. In the USA, the bond market dominates the price discovery process for all maturities. The severe financial crisis that spread out in Autumn 2008 drove a wedge between bond and swap break-even inflation rates in both currencies. Price discovery ceased to take place on the swap market. Disruptions coming from the short-end of the market even separated price formation on both segments for maturities of up to 6 years in the USA. Against the backdrop of the most severe financial crisis in decades, contributions to price formation concentrated a lot more on the presumably safest financial instrument: government bonds.     

Where Are They Now? An Analysis of the Life Cycle of Convertible Bonds

We study the determinants of the life convertible bonds' life span issued between 1980 and 1998. About 60% of the bonds survive either to a call or to their maturity. The issuers of the remaining bonds are delisted during the life of their bonds. Calls and delistings shorten the average life span of convertibles from the original 17 years to an effective life span of only seven years. Issuer's post‐issuance performance and investment behavior affect the effective life of convertibles. Our results support the sequential financing hypothesis, as bonds issued by firms with speedier investment schedules have shorter life spans.     

Arbitrage vs. informed short selling: Evidence from convertible bond issuers

Prior literature examines the effect of either informed or arbitrage short selling on equity markets. We test the relative importance of informed and uninformed short selling around convertible bond issues and earnings announcements for the same firms over the same time period. Convertible arbitrage short selling is associated with temporary price pressure, consistent with downward sloping demand curves. Earnings announcement short selling is consistent with informed traders who anticipate future returns. Firm-specific characteristics related to the cost of short selling similarly affect both informed and arbitrage short selling. Deal-specific characteristics capturing hedging demand also strongly determine convertible arbitrage short selling.     

Term Structure Models: A Perspective from the Long Rate

Term structure models based on dynamic asset-pricing theory are discussed by taking a perspective from the long rate. This paper partially answers two questions about the asymptotic behavior of yields on default-free zero-coupon bonds: in frictionless markets having no arbitrage, what should the behavior be; and, in known term structure models, what can the behavior be.

In frictionless markets having no arbitrage, yields of all maturities should be positive and uniformly bounded from above. The yield curve should level out as term to maturity increases. Slopes with large absolute values occur only in the early maturities. In a continuous-time framework, the longer the maturity of the yield is, the less volatile it will be. The long rate should be a nondecreasing process. Furthermore, the long rate in continuous-time factor models with nonsingular volatility matrices should be a nondecreasing deterministic function.

In the Black, Derman, and Toy model and factor models with the short rate having the mean reversion property, yields of all maturities are uniformly bounded from above. The long rate in the Duffie and Kan model with the mean reversion property is a constant. The long rate in the Heath, Jarrow, and Morton model can be infinite or a nondecreasing process. Examples with the long rate increasing are given in this paper. A model with the long rate and short rate as two state variables is then obtained.     

The Determinants of Long‐Term Corporate Debt Issuances

A significant proportion of the debt issued by investment‐grade firms has maturities greater than 20 years. In this paper we provide evidence that gap‐filling behavior is an important determinant of these very long‐term issues. Using data on individual corporate debt issues between 1987 and 2009, we find that gap‐filling behavior is more prominent in the very long end of the maturity spectrum where the required risk capital makes arbitrage costly. In addition, changes in the supply of long‐term government bonds affect not just the choice of maturity but also the overall level of corporate borrowing.     

Lemmings in the bond market? An empirical analysis of the term structure of credit spreads

The paper examines the credit spread between government and corporate bonds at different maturities. Theoretical models assume that credit risk premiums for high quality firms monotonously increase with maturity. We find evidence suggesting that bonds issued at maturities attracting the highest issuance volumes tend to have credit risk premiums that are on average 10 to 15 basis points higher than issues at nonconventional maturities. These results point out a shortcoming of existing theoretical models and show that the credit yield curve is not smooth, but affected by the local supply of issues at various parts of the yield curve. In addition, the empirical evidence presented in this paper indicates that firms utilizing the bond markets for funding could lower their funding costs by shifting the term of their debt away from the most commonly targeted maturities.