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Pricing Range Accrual Notes in an A¡Ë ne Term Structure Model with Stochastic Mean, Stochastic Volatility and Jumps

  • Shaoyu Li Wang Yanan Institute for Studies in Economics, Xiamen University
  • Hongming Huang National Central University
  • Li-Chuan Tsai Wang Yanan Institute for Studies in Economics, Xiamen University
The main purpose of this paper is to derive the analytic valuation formulae of ?xed range accrual notes (FiRAN) and ?oating range accrual notes (FlRAN) in the context of an a¡Ë ne term-structure model incorporating stochastic long-run mean, stochastic volatility and jumps according to the empirical ?ndings of An- dersen et al.(2004). We propose a quasi-analytic pricing and hedging solutions for range accrual notes and these solutions are demonstrated in sensitivity analysis. Our numerical results show all these three factors signi?cantly a¢´ect the values and hedging strategies of range accural notes, and the factor of stochastic mean plays the most important role in either valuation or hedging.

  • Shaoyu Li
  • Hongming Huang
  • Li-Chuan Tsai
The main purpose of this paper is to derive the analytic valuation formulae of ?xed range accrual notes (FiRAN) and ?oating range accrual notes (FlRAN) in the context of an a¡Ë ne term-structure model incorporating stochastic long-run mean, stochastic volatility and jumps according to the empirical ?ndings of An- dersen et al.(2004). We propose a quasi-analytic pricing and hedging solutions for range accrual notes and these solutions are demonstrated in sensitivity analysis. Our numerical results show all these three factors signi?cantly a¢´ect the values and hedging strategies of range accural notes, and the factor of stochastic mean plays the most important role in either valuation or hedging.
A¡Ë ne Model,Stochastic Volatility,Jump