In this paper, the surplus of an insurance company is modeled by a Markovian regime- switching diffusion process. The insurer decides the proportional reinsurance and investment so as to increase revenue. The regime-s...In this paper, the surplus of an insurance company is modeled by a Markovian regime- switching diffusion process. The insurer decides the proportional reinsurance and investment so as to increase revenue. The regime-switching economy consists of a fixed interest security and several risky shares. The optimal proportional reinsurance and investment strategies with no short-selling constraints for maximizing an exponential utility on terminal wealth are obtained.展开更多
We study the pricing of an option when the price dynamic of the underlying risky asset is governed by a Markov-modulated geometric Brownian motion. We suppose that the drift and volatility of the underlying risky asse...We study the pricing of an option when the price dynamic of the underlying risky asset is governed by a Markov-modulated geometric Brownian motion. We suppose that the drift and volatility of the underlying risky asset are modulated by an observable continuous-time, finite-state Markov chain. We develop a two- stage pricing model which can price both the diffusion risk and the regime-switching risk based on the Esscher transform and the minimization of the maximum entropy between an equivalent martingale measure and the real-world probability measure over different states. Numerical experiments are conducted and their results reveal that the impact of pricing regime-switching risk on the option prices is significant.展开更多
Modeling of uncertainty by probability errs by ignoring the uncertainty in probability.When financial valuation recognizes the uncertainty of probability,the best the market may offer is a two price framework of a low...Modeling of uncertainty by probability errs by ignoring the uncertainty in probability.When financial valuation recognizes the uncertainty of probability,the best the market may offer is a two price framework of a lower and upper valuation.The martingale theory of asset prices is then replaced by the theory of nonlinear martingales.When dealing with pure jump compensators describing probability,the uncertainty in probability is captured by introducing parametric measure distortions.The two price framework then alters asset pricing theory by requiring two required return equations,one each for the lower upper valuation.Proxying lower and upper valuations by daily lows and highs,the paper delivers the first empirical study of nonlinear martingales via the modeling and simultaneous estimation of the two required return equations.展开更多
基金supported by National Natural Science Foundation of China (Grant No.11001139)Fundamental Research Funds for the Central Universities (Grant No.65010771)+1 种基金Specialized Research Fund for the Doctoral Program of Higher Education (SRFDP Grant No.20100031120002)the second author is supported by the Discovery Grant from the Australian Research Council (ARC) (Project No.DP1096243)
文摘In this paper, the surplus of an insurance company is modeled by a Markovian regime- switching diffusion process. The insurer decides the proportional reinsurance and investment so as to increase revenue. The regime-switching economy consists of a fixed interest security and several risky shares. The optimal proportional reinsurance and investment strategies with no short-selling constraints for maximizing an exponential utility on terminal wealth are obtained.
基金the Research Grants Councilof the Hong Kong Special Administrative Region,China(Project No.HKU 754008H)
文摘We study the pricing of an option when the price dynamic of the underlying risky asset is governed by a Markov-modulated geometric Brownian motion. We suppose that the drift and volatility of the underlying risky asset are modulated by an observable continuous-time, finite-state Markov chain. We develop a two- stage pricing model which can price both the diffusion risk and the regime-switching risk based on the Esscher transform and the minimization of the maximum entropy between an equivalent martingale measure and the real-world probability measure over different states. Numerical experiments are conducted and their results reveal that the impact of pricing regime-switching risk on the option prices is significant.
基金Received 15 October 2021Accepted 16 March 2022Early access 25 March 2022。
文摘Modeling of uncertainty by probability errs by ignoring the uncertainty in probability.When financial valuation recognizes the uncertainty of probability,the best the market may offer is a two price framework of a lower and upper valuation.The martingale theory of asset prices is then replaced by the theory of nonlinear martingales.When dealing with pure jump compensators describing probability,the uncertainty in probability is captured by introducing parametric measure distortions.The two price framework then alters asset pricing theory by requiring two required return equations,one each for the lower upper valuation.Proxying lower and upper valuations by daily lows and highs,the paper delivers the first empirical study of nonlinear martingales via the modeling and simultaneous estimation of the two required return equations.
