scholarly journals On a New Corporate Bond Pricing Model with Potential Credit Rating Change and Stochastic Interest Rate

2018 ◽  
Vol 11 (4) ◽  
pp. 87 ◽  
Author(s):  
Hong-Ming Yin ◽  
Jin Liang ◽  
Yuan Wu
Keyword(s):  
Interest Rate ◽  
Credit Rating ◽  
Corporate Bond ◽  
Bond Pricing ◽  
Stochastic Interest Rate ◽  
Pricing Model ◽  
New Model ◽  
Stochastic Interest ◽  
The Interest Rate ◽  
Rating Change

In this paper, we consider a new corporate bond-pricing model with credit-rating migration risks and a stochastic interest rate. In the new model, the criterion for rating change is based on a predetermined ratio of the corporation’s total asset and debt. Moreover, the rating changes are allowed to happen a finite number of times during the life-span of the bond. The volatility of a corporate bond price may have a jump when a credit rating for the bond is changed. Moreover, the volatility of the bond is also assumed to depend on the interest rate. This new model improves the previous existing bond models in which the rating change is only allowed to occur once with an interest-dependent volatility or multi-ratings with constant interest rate. By using a Feynman-Kac formula, we obtain a free boundary problem. Global existence and uniqueness are established when the interest rate follows a Vasicek’s stochastic process. Calibration of the model parameters and some numerical calculations are shown.

scholarly journals On a Corporate Bond Pricing Model with Credit Rating Migration Risksand Stochastic Interest Rate

2017 ◽  
Vol 1 (3) ◽  
pp. 300-319 ◽  
Author(s):  
Jin Liang ◽  
◽  
Xinfu Chen ◽  
Yuan Wu ◽  
Hong-Ming Yin ◽  
...  
Keyword(s):  
Interest Rate ◽  
Credit Rating ◽  
Corporate Bond ◽  
Bond Pricing ◽  
Stochastic Interest Rate ◽  
Pricing Model ◽  
Stochastic Interest

Defined contribution pension planning with a stochastic interest rate and mean-reverting returns under the hyperbolic absolute risk aversion preference

2019 ◽  
Author(s):  
Hao Chang ◽  
Chunfeng Wang ◽  
Zhenming Fang ◽  
Dan Ma
Keyword(s):  
Interest Rate ◽  
Absolute Risk ◽  
Market Price ◽  
Optimal Strategies ◽  
Stochastic Interest Rate ◽  
Market Price Of Risk ◽  
Absolute Risk Aversion ◽  
Stochastic Interest ◽  
Price Of Risk ◽  
The Interest Rate

Abstract The interest rate and the market price of risk may be stochastic in a real-world financial market. In this paper, the interest rate is assumed to be driven by a stochastic affine interest rate model and the market price of risk from the stock market is a mean-reverting process. In addition, the dynamics of the stock are simultaneously driven by random sources of interest rate and the stock market itself. In pension fund management, different fund managers may have different risk preferences. We suppose risk preference is described by the hyperbolic absolute risk aversion utility, which is a general utility function describing different risk preferences. Legendre transform-dual theory is presented to successfully obtain explicit expressions for optimal strategies. A numerical example illustrates the sensitivity of optimal strategies to market parameters. Theoretical results imply that the risks from stochastic interest rate and stochastic return may be completely hedged by adopting specific portfolios.

scholarly journals Optimal Investment Strategy under the CEV Model with Stochastic Interest Rate

2020 ◽  
Vol 2020 ◽  
pp. 1-11
Author(s):  
Yong He ◽  
Peimin Chen
Keyword(s):  
Interest Rate ◽  
Optimal Investment ◽  
Investment Strategy ◽  
Risky Asset ◽  
Stochastic Interest Rate ◽  
Model Parameters ◽  
Optimal Investment Strategy ◽  
Stochastic Interest ◽  
Cev Process ◽  
The Interest Rate

Interest rate is an important macrofactor that affects asset prices in the financial market. As the interest rate in the real market has the property of fluctuation, it might lead to a great bias in asset allocation if we only view the interest rate as a constant in portfolio management. In this paper, we mainly study an optimal investment strategy problem by employing a constant elasticity of variance (CEV) process and stochastic interest rate. The assets of investment for individuals are supposed to be composed of one risk-free asset and one risky asset. The interest rate for risk-free asset is assumed to follow the Cox–Ingersoll–Ross (CIR) process, and the price of risky asset follows the CEV process. The objective is to maximize the expected utility of terminal wealth. By applying the dual method, Legendre transformation, and asymptotic expansion approach, we successfully obtain an asymptotic solution for the optimal investment strategy under constant absolute risk aversion (CARA) utility function. In the end, some numerical examples are provided to support our theoretical results and to illustrate the effect of stochastic interest rates and some other model parameters on the optimal investment strategy.

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