A Re-examination of the Case for Accounting Separately for the Debt and Equity Features of Convertible Debt

The case for accounting separately for the debt and equity features of a convertible bond is based on two main assumptions: convertible debt can be decomposed into two, or more, fundamental financial instruments, and a convertible bond has the same economic substance as a bond with a detachable warrant. These assumptions are re-examined in this paper where it is shown that it is generally not possible to decompose a convertible bond into fundamental financial instruments, nor is it possible to form a package of a bond and a detachable warrant that replicates the character of the convertible bond.     

An Empirical Comparison of Convertible Bond Valuation Models

This paper empirically compares three convertible bond valuation models. We use an innovative approach where all model parameters are estimated by the Marquardt algorithm using a subsample of convertible bond prices. The model parameters are then used for out-of-sample forecasts of convertible bond prices. The mean absolute deviation is 1.86% for the Ayache-Forsyth-Vetzal model, 1.94% for the Tsiveriotis-Fernandes model, and 3.73% for the Brennan-Schwartz model. For this and other measures of fit, the Ayache-Forsyth-Vetzal and Tsiveriotis-Fernandes models outperform the Brennan-Schwartz model.     

VALUATION OF PRIMARY ISSUE CONVERTIBLE BONDS

Little empirical evidence is available on the nature of the trade-offs between the debt- and equity-like components of convertible bonds. Such information would be useful to firms considering the issuance of convertible bonds. Furthermore, complete understanding of the leverage implications of convertible bond issuance depends on the market's view of the proportions of the implicit debt/equity mix. The current study develops a two-equation model that estimates the relative contributions made to the value of primary issue convertible bonds by the debt and implicit warrant components. The model's distinct approach affords an opportunity to evaluate the empirical relationship between the value of the implicit warrant and the theoretical determinants of that value by isolating the individual components of the convertible bond's value.     

CB – Time Dependent Markov Model for Pricing Convertible Bonds

In this paper, we propose what we call the convertible bond (CB) – timedependent Markov model, which prices N given individual convertible bondssimultaneously, and apply it to Japanese convertible bond data. One of themain features of the model is that it makes full use of the correlationstructure of convertible bond prices. The empirical results show that themodel well describes individual prices in the market.     

Warrant exercise and bond conversion in competitive markets

We develop a theory of warrants held by competitive warrantholders not constrained to exercise their warrants as one block; the theory also applies to convertible bonds held by competitive bondholders not constrained to convert their bonds as one block. We prove that the warrant (bond) price in each of the competitive equilibria is less than or equal to the price in an economy with the block constraint; and for at least one competitive equilibrium the warrant (bond) price equals the warrant (bond) price in the block-constrained economy. We illustrate the paths of competitive warrant exercise and bond conversion and conclude that under realistic assumptions they can be long.     

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.     

CONVERTIBLE BOND VALUATION: AN EMPIRICAL TEST

This research applies the options pricing model to the valuation of convertible bonds. A numeric algorithm is used to obtain theoretical values for a sample of 103 convertible bond issues. When market prices are compared with model valuations, the means are not significantly different, and 90 percent of model predictions are within 10 percent of market values. As a further test, the sample is divided on the basis of whether the model prices are (1) greater or (2) less than market prices. Returns are compared over a subsequent three-year holding period. The results indicate that without risk adjustment, the returns for the subsample identified by the model as “undervalued” (model prices exceed market prices) are significantly greater than returns for the subsample identified by the model as “overvalued” (market prices exceed model prices).     

Optimal policies of call with notice period requirement

When an American warrant or a convertible bond is called by its issuer, the holder is usually given a notice period to decide whether to sell the derivative back to the issuer at the call price or to exercise the conversion right. Several earlier papers have shown that such notice period requirement may substantially affect the optimal call policy adopted by the issuer. In this paper, we perform theoretical studies on the impact of the notice period requirement on issuer’s optimal call policy for American warrants and convertible bonds. We also examine how the optimal call policy of the issuer interacts with holder’s optimal conversion policy.     

More than meets the eye: Convertible bond issuers' concurrent transactions

We document that, in recent years, over 60% of convertible bond issuers conduct concurrent transactions including share repurchases, call option purchases, warrant sales, seasoned equity offerings, and stock lending program initiations. We investigate the determinants of issuers' choice of concurrent transactions and find that a proxy for capital supply (flows to convertible bond arbitrage hedge funds) is a significant determinant. Option purchases are more likely when capital supply is low and the convertible is dilutive to earnings. SEOs are more likely when firms have valuable growth opportunities and capital supply is low. Convertible issuers establish lending programs when arbitrageurs likely encounter difficulty shorting their stock, suggesting that these firms facilitate short selling in their own stock. These results suggest that, in the convertible bond market, the influence of capital supply extends beyond the issuance decision to the use of concurrent transactions and that these transactions offer important flexibility to issuers. We find that average equity market announcement effects differ when issuers conduct concurrent transactions. Consistent with models of adverse selection, concurrent transactions that reduce the dilutive impact on earnings, thereby making the design more debt-like, are associated with less negative announcement effects. Conversely, concurrent transactions that increase the dilutive impact on earnings, thereby making the design more equity-like, are associated with more negative announcement effects.     

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.     

Simulation-based pricing of convertible bonds

We propose and empirically investigate a pricing model for convertible bonds based on Monte Carlo simulation. The method uses parametric representations of the early exercise decisions and consists of two stages. Pricing convertible bonds with the proposed Monte Carlo approach allows us to better capture both the dynamics of the underlying state variables and the rich set of real-world convertible bond specifications. Furthermore, using the simulation model proposed, we present an empirical pricing study of the US market, using 32 convertible bonds and 69 months of daily market prices. Our results do not confirm the evidence of previous studies that market prices of convertible bonds are on average lower than prices generated by a theoretical model. Similarly, our study is not supportive of a strong positive relationship between moneyness and mean pricing error, as argued in the literature.     

Credit ratings and convertible bond prices: a simulation-based valuation

This study presents a simulation-based model of convertible bond prices under the assumption of stochastic interest rates. The model is developed such that the convertible bond price explicitly depends on the credit rating at the time of issuance. Key ideas explored in this study include terminating the simulated sample path immediately when the issuer defaults on the bond at time t, which is the same as the investor and the issuer optimally exercising their options and discounting the resulting cash flows at a risk-free rate. In turn, the defaulted group of sample paths belongs to the bottom xth percentile of the realized stock prices at each time, which is exogenously given by the cumulative or marginal default probability of a firm that has the same rating as the issuer. Upon calibrating the model, we can see that the moneyness of convertible bonds is strongly responsible for influencing the convertible bond price when the rating changes. Furthermore, the effects of stochastic interest rates are shown to be possibly significant when the interest rate risk’s market price is not zero.     

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.     

Do Convertible Bond Issuers Cater to Investor Demand?

We examine the impact of fluctuations in investor demand for convertible securities on convertible bond issue volumes, pricing, and design. We find evidence of a positive impact of investor demand proxies on convertible bond issue volumes. We also document significantly lower convertible bond underpricing in periods with higher investor demand. The results hold in a variety of specifications, and are robust to controlling for firm‐specific and macroeconomic financing cost proxies. However, we obtain only limited evidence that issuers adjust the design of their convertible bond offerings in response to investor demand.     

可转换债券在公司连续融资中作用机理的研究——以万科股份有限公司为例

本文通过模型分析了可转换债券在公司连续融资中的作用机理;并结合万科公司利用可转换债券融资的案例,分析了万科转债在万科公司连续融资中发挥的作用。在万科公司以未来投资期权价值不确定为基础的连续融资过程中,当投资期权项目被证实有价值时,通过可转换债券的赎回(强制转换)把初始项目积累的资金转向有价值的投资期权项目,有利于万科公司有价值投资期权项目的后续融资,验证了Mayers(1998)的连续融资假说。     

Convertible debt issuance,capital structure change and financing-related information: Some new evidence

This paper provides evidence on the valuation effects of convertible debt issuance. Common stockholders earn significant negative abnormal returns at the initial announcement of a convertible debt offering, and also at the issuance date. In contrast, the average valuation effect on common stock at the announcement of non-convertible debt offerings is only marginally negative, and is zero at issuance. The significant negative average effect on common stock value appears not to be systematically related to either the degree of leverage change induced by the convertible debt issuance or the extent to which the proceeds from issuance are used for new investment or to refinance existing debt. If, as appears likely, the issuance of convertible debt on average increases financial leverage, these results are inconsistent with evidence from other recent studies documenting common stock price effects of the same sign as the change in leverage. The evidence suggests that convertible debt offerings convey unfavorable information about the issuing firms, but the specific nature of such information remains unidentified.     

Optimal investment with stock repurchase and financing as signals

When management has private information it has an incentiveto finance investment by issuing a security that is overpricedin the market. The market's valuation of the issued securitymay lead management either to forego profitable investmentsor to invest suboptimally. With investment fixed, there existfully revealing signaling equilibria in which the covenantsof the issued claim serve as signals. A straight bond issuecannot provide the signals but a convertible bond issue can.With investment endogenous, fully revealing equilibria existin which the par value of a straight bond issue and the announcedlevel of investment jointly serve as signals and investmentis optimal. The article also investigates the role of a stockrepurchase in these equilibria.     

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。     

The impact of financing decisions on the security returns of real estate corporations

This research investigates the valuation impact of financing decisions on the common stock of real estate corporations. We compare the results of our study with the results of similar studies in the corporate finance literature to test whether the response to security offerings by real estate firms differs systematically from the response to offerings by industrial and utility firms. The results of this study indicate a generally favorable price response to straight bond announcements, and unfavorable responses to common stock, convertible bonds, and lines of credit announcements.