债务融资结构与产品市场竞争决策研究

资本结构的产品市场竞争理论认为,在特定竞争模型下债务融资结构能够反映企业的产品市场竞争策略,并认为短期债务增加加剧了产品市场竞争,长期债务缓和产品市场竞争。进一步的实证分析得到短期债务融资与产品市场竞争程度是显著负相关的,长期债务融资与产品市场竞争程度是显著正相关的,能够支持产品市场竞争理论。同时,数据分析发现,企业规模小、资产利用效率高和收益好也是促使企业采取激进竞争手段的影响因素。     

我国国债利率期限结构研究

本文简单地阐述了传统的利率期限结构理论,通过连续复利的方式获得了我国国债的到期收益率。在此基础上,构造了国债收益率曲线并通过建模获得了收益率曲线的回归方程。同时,根据我国国债利率期限结构的形状和特点,用传统的利率期限结构理论对其进行理论说明,并指出国债产品设计与定价上的问题与改进建议。     

Computing equilibrium bond prices in the Vayanos-Vila model

We develop tools for computing equilibrium bond prices for the discrete-time version of the Vayanos–Vila (2009) model. With the maturity structure included in pricing factors, factor loadings for equilibrium bond yields depends critically on parameters describing maturity structure dynamics and other model parameters. An illustrative example shows that the effect on the yield curve of a supply shock originating in a given maturity, although hump-shaped around the originating maturity, is to change yields broadly across all maturities.     

American options under stochastic volatility: control variates,maturity randomization & multiscale asymptotics

American options are actively traded worldwide on exchanges, thus making their accurate and efficient pricing an important problem. As most financial markets exhibit randomly varying volatility, in this paper we introduce an approximation of an American option price under stochastic volatility models. We achieve this by using the maturity randomization method known as Canadization. The volatility process is characterized by fast and slow-scale fluctuating factors. In particular, we study the case of an American put with a single underlying asset and use perturbative expansion techniques to approximate its price as well as the optimal exercise boundary up to the first order. We then use the approximate optimal exercise boundary formula to price an American put via Monte Carlo. We also develop efficient control variates for our simulation method using martingales resulting from the approximate price formula. A numerical study is conducted to demonstrate that the proposed method performs better than the least squares regression method popular in the financial industry, in typical settings where values of the scaling parameters are small. Further, it is empirically observed that in the regimes where the scaling parameter value is equal to unity, fast and slow-scale approximations are equally accurate.     

Parisian options with jumps: a maturity–excursion randomization approach

This paper introduces an analytically tractable method for the pricing of European and American Parisian options in a flexible jump–diffusion model. Our contribution is threefold. First, using a double Laplace–Carson transform with respect to the option maturity and the Parisian (excursion) time, we obtain closed-form solutions for different types of Parisian contracts. Our approach allows us also to analytically disentangle contributions of the jump and diffusion components for Parisian options in the excursion region. Second, we provide numerical examples and quantify the impact of jumps on the option price and the Greeks. Finally, we study the non-monotonic effects of volatility and jump intensity close to the excursion barrier, which are important for shareholders’ investment policy decisions in a levered firm.