A sequential pricing framework for corporate securities: The case of rating-trigger step-up/-down bonds

We develop a sequential pricing framework in a continuous time cash flow model allowing for repeated valuation of different cash flow claims. One claim is valued until a prespecified boundary is hit, which is subsequently used as the new valuation starting point for the next claim. This highly flexible pricing framework is applied to the pricing of rating-trigger step-up/-down corporate bonds, the coupon payments of which depend on the issuing company’s credit rating. We present a simple closed-form pricing solution for this type of bonds including both a step-up and step-down threshold, as well as a lower default boundary.     

银行间债券市场含权债估值问题研究

文章分析了银行间市场含权债实际成交价格的变动规律,介绍了市场实践中常用的定价方法,并对以理论模型为基础的一般估值方法进行了研究。结果发现,虽然目前市场上含权债的交易价格基本合理,但估值实践中较少利用理论模型,一般参考市价简单处理。含权债定价可以从建立二项式模型开始,逐步改变目前市场定价随意、缺少理论支撑的现状。     

Catastrophe Risk Bonds

Abstract

This article examines the pricing of catastrophe risk bonds. Catastrophe risk cannot be hedged by traditional securities. Therefore, the pricing of catastrophe risk bonds requires an incomplete markets setting, and this creates special difficulties in the pricing methodology. The authors briefly discuss the theory of equilibrium pricing and its relationship to the standard arbitrage-free valuation framework. Equilibrium pricing theory is used to develop a pricing method based on a model of the term structure of interest rates and a probability structure for the catastrophe risk. This pricing methodology can be used to assess the default spread on catastrophe risk bonds relative to traditional defaultable securities.     

THE EFFECT OF A SINKING FUND ON THE REOFFERING YIELDS OF NEW PUBLIC UTILITY BONDS

In this study, empirical tests are conducted to determine the impact of a sinking fund on reoffering yields of a sample of new public utility bonds sold between January 1977 and March 1982. The findings of the regression analysis are consistent with the hypotheses that the value of the sinking fund varies with the default risk of the issuer and with market expectations of future interest rate movements, and that the sinking fund improves the liquidity of a bond issue.     

Pricing Contingent Claims under Interest Rate and Asset Price Risk

This paper presents a general framework for pricing contingent claims under interest rate and asset price uncertainty. The framework extends Ho and Lee's (1986) valuation framework by allowing not only future interest rates but also future asset prices to depend on the current term structure of interest rates. The approach is shown to provide risk-neutral valuation relationships that are consistent with the initial term structure of interest rates and can be applied to valuation of a broad class of assets including stock options, convertible bonds, and junk bonds.     

Portfolio choice and equilibrium in capital markets with safety-first investors

This paper develops optimal portfolio choice and market equilibrium when investors behave according to a generalized lexicographic safety-first rule. We show that the mutual fund separation property holds for the optimal portfolio choice of a risk-averse safety-first investor. We also derive an explicit valuation formula for the equilibrium value of assets. The valuation formula reduces to the well-known two-parameter capital asset pricing model (CAPM) when investors approximate the tail of the portfolio distribution using Tchebychev's inequality or when the assets have normal or stable Paretian distributions. This shows the robustness of the CAPM to safety-first investors under traditional distributional assumptions. In addition, we indicate how additional information about the portfolio distribution can be incorporated to the safety-first valuation formula to obtain alternative empirically testable models.     

BIASES IN PERFORMANCE MEASUREMENT DURING CONTRIBUTIONS: A NOTE

This note demonstrates that a statistical error (e.g., due to pricing error) made in valuing an investment fund at the time of an intra-period contribution leads to an error in calculating the period's total return, even if the fund was valued correctly at the beginning and end of the period. On average, even if the valuation error is distributed randomly with mean zero, the fund's performance will be biased.     

Valuation of controlling shares in closely held banks

This paper investigated factors that affect the valuation of controlling shares of closely held bank stocks. With regard to traditional financial factors, earnings and growth variables proved to be important. In addition, the prior ownership position of the buyer was important in pricing the stock. Other non-traditional valuation factors were investigated with only limited success. The statistical work was enhanced by a robust regression technique.     

A comprehensive structural model for defaultable fixed-income bonds

An exact valuation formula for defaultable corporate coupon bonds is proved. The model incorporates discrete coupons, bankruptcy costs, taxes and the market risk generated by a stochastic risk-free structure. The aim of this paper is twofold: first, we generalise previous pricing models for corporate bonds; second, we provide a comprehensive formula in order to properly disentangle the contribution of several risk factors to credit spreads.     

Optimal ownership structure in private equity

We develop a tractable model to analyse the valuation of a general partner (GP) and the ownership allocation in a private equity (PE) fund. Our results indicate that holding ownership will increase GP's value. We further explore the influential factors that affect GP's optimal ownership decision. Our model predicts that GP's managerial skill has positive effects on GP's shareholding choice. Factors such as leverage, unspanned risks, GP's compensation have negative impacts on GP ownership decision. The fund's maturity has a non‐monotonic and concave influence. Moreover, the widely used performance measures implied by our model are consistent with empirical findings.     

The Valuation of Semiannual Bonds between Interest Payment Dates: A Correction

This note provides a correction to Taylor's 1988 work on the valuation of semiannual coupon bonds between interest payment dates. It shows that the discrepancy in values between Taylor's model and the standard Wall Street pricing formula is much smaller than indicated by Taylor and is unlikely to generate opportunities for arbitrage profits.     

影响企业短期融资券发行定价的因素

本文运用偏相关分析、多元回归方法等对企业短期融资券发行定价的各种影响因素进行分析,试图找出我国承销商和发行人在确定发行价格时应考虑的主要因素,以及这些因素对发行定价的影响程度,从而为首次公开发行定价真正走向市场化提供指导.研究结果表明,企业所有制性质、央行票据发行利率、行业特征、发行规模等因素显著影响发行价格,流动性风险是发行市场考虑的重要因素,而发行主体的偿债能力、主承销商声誉等级等对发行价格的影响不显著.     

CARE/CEASA Roundtable on Managing Uncertainty and Risk

Two distinguished Morgan Stanley “alumni” discuss how their management of risk and uncertainty has not only preserved but increased the profitability of their businesses. In both cases—one involving a commodities trading operation and the other a long‐short hedge fund—the key has been to find cost‐effective ways to “cut off the left tails” of the distribution by avoiding naked long or short positions and creating option‐like payoffs with limited downside. In the case of the hedge fund, the combination of longs and shorts with the use of other risk‐reducing strategies has enabled the fund's managers to produce twice the market's returns with only half the volatility (and only one losing year) during the 18‐year life of the fund. In the case of the commodities trading operation, the strategy is described as combining ownership of physical assets with the use of option pricing models to create what amount to “long gamma positions in the asset” that “produce payoffs regardless of whether the asset goes up or down in value.”     

基于余弦相似度(CS)和最小生成树(MST)的基金市场复杂网络研究

以中国基金市场中123家基金公司持有的投资组合为样本,综合运用余弦相似度(CS)和最小生成树(MST)方法,考量基金市场复杂网络。结果显示：各家基金公司持有股票组合的相似程度比持有债券组合的相似程度更高,表明他们持有的债券组合较之股票组合更加多元化,基金公司持有的股票相对集中于市值大、成长性高的公司。同时,全部资产投资组合、股票投资组合和债券投资组合等三类基金MST网络的节点度均服从幂律分布,表明大多数基金公司以少数强影响力基金公司为中心聚集起来,彼此之间具有较强的业务关联。此种网络结构特征可能导致市场风险向基金聚集团体集中,其抵御系统性风险的能力偏弱,也不利于满足投资者的理财多元化需求。     

Willow tree algorithms for pricing Guaranteed Minimum Withdrawal Benefits under jump-diffusion and CEV models

This paper presents the willow tree algorithms for pricing variable annuities with Guaranteed Minimum Withdrawal Benefits (GMWB), where the underlying fund dynamics evolve under the Merton jump-diffusion process or constant-elasticity-of-variance (CEV) process. The GMWB rider gives the policyholder the right to make periodic withdrawals from his policy account throughout the life of the contract. The dynamic nature of the withdrawal policy allows the policyholder to decide how much to withdraw on each withdrawal date, or even to surrender the contract. For numerical valuation of the GMWB rider, we use willow tree algorithms that adopt more effective placement of the lattice nodes based on better fitting of the underlying fund price distribution. When compared with other numerical algorithms, like the finite difference method and fast Fourier transform method, the willow tree algorithms compute GMWB prices with significantly less computational time to achieve a similar level of numerical accuracy. The design of our pricing algorithm also includes an efficient search method for the optimal dynamic withdrawal policies. We perform sensitivity analysis of various model parameters on the prices and fair participating fees of the GMWB riders. We also examine the effectiveness of delta hedging when the fund dynamics exhibit various jump levels.     

Directors’ Ownership and Closed-End Fund Discounts

This paper investigates whether ownership by independent directors could provide them with effective monitoring incentives and thus help reduce discounts in the closed-end fund industry. We find that after controlling for fund observed and unobserved characteristics with the latter proxied by fund fixed effects, independent directors’ ownership is negatively related to fund discounts. We further find that funds whose independent directors have larger ownership are more likely to employ appropriate measures to reduce fund discounts, such as buying back outstanding shares, adopting managed distribution plans (MDPs) if they do not have such plans in place, or increasing the minimum payout targets under their existing MDPs. These findings may imply that independent directors become better monitors when they have larger ownership in the funds they oversee and are thus more diligent in taking actions to diminish discounts.     

Sinking Funds and the Agency Costs of Corporate Debt

This paper examines whether a firm's sinking fund decision is affected by agency costs. The paper argues that sinking funds can be an effective device to resolve the problems of information asymmetry, risk incentives, and suboptimal investments. Empirical tests are provided. Results show that firms with certain characteristics related to agency problems tend to adopt a sinking fund provision in the bond indenture.     

Investor learning and mutual fund family

In this paper we revisit the cross-fund learning method suggested by Jones and Shanken (2005) and construct a linear hierarchical model to consider the learning across funds within the fund family during the performance evaluation. We provide a full Bayesian treatment on all the factors of the pricing model and allow both the fund family and the individual manager to have dependent prior information regarding funds' alphas. The simulation results suggest that returns from peer funds within the family significantly affect investors' updating on fund alphas since the posterior distribution on fund alphas experiences a faster shrinkage than those reported in the previous literature. The model can also be simulated with specific prior belief on different factors of the pricing model, i.e. fund alphas, betas and factor loadings of each pricing benchmark, to better address the learning issue.     

The economics of hedge funds

Hedge fund managers trade off the benefits of leveraging on the alpha-generating strategy against the costs of inefficient fund liquidation. In contrast to the standard risk-seeking intuition, even with a constant-return-to-scale alpha-generating strategy, a risk-neutral manager becomes endogenously risk-averse and decreases leverage following poor performance to increase the fund's survival likelihood. Our calibration suggests that management fees are the majority of the total compensation. Money flows, managerial restart options, and management ownership increase the importance of high-water-mark-based incentive fees but management fees remain the majority. Investors' valuation of fees are highly sensitive to their assessments of the manager's skill.     

Accounting measures and international pricing models: Justifying accounting homogeneity

We study the importance of homogeneous accounting data when testing international versions of asset pricing models. Specifically, we focus on a pricing model commonly used by practitioners – the Fama–French three-factor model – which uses accounting information and has traditionally performed poorly at the cross-country level. We show that international versions of the model perform significantly better if the accounting information is homogeneous across firms. We apply the model to a set of firms that follow common accounting standards – the IAS/IFRS – and also to firms that have issued ADRs in the US – and therefore must report following both US GAAP and their own domestic standards. In both cases our results show that the accounting dimension is relevant: the use of homogeneous accounting measures allows for much higher goodness-of-fit of international versions of the three-factor model, at levels similar to those of domestic versions and superior to those of non-homogeneous versions. This suggests that further accounting homogeneity could lead to more accurate pricing and valuation of international assets and to an improvement of the efficiency of international fund allocation.