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国内外利率为随机的双币种重置型期权定价
引用本文:黄国安,邓国和.国内外利率为随机的双币种重置型期权定价[J].大学数学,2011,27(2):125-132.
作者姓名:黄国安  邓国和
作者单位:广西师范大学数学科学学院;桂林航天工业高等专科学校计算机系;
基金项目:国家自然基金(40675023); 广西自然科学基金(桂科自0991091)
摘    要:双币种重置期权的特征是指在终端期T时的收益依赖于预先设定的t<,0>时刻标的资产的价格与执行价K>0(事先给定)的大小关系重新设置期权的执行价从而给出其定价,这种期权是投资于外国资产的一种合约,其风险不仅依赖外国资产价格的变化,还受外国货币的汇率以及国内外两种利率波动的影响,所以在实际应用方面十分广泛.本文首先就标的资...

关 键 词:双币种期权  重置型期权  随机利率  Hull-White模型

Pricing Quanto Reset Options with Stochastic Domestic and Foreign Interest Rates
HUANG Guo-an,DENG Guo-he.Pricing Quanto Reset Options with Stochastic Domestic and Foreign Interest Rates[J].College Mathematics,2011,27(2):125-132.
Authors:HUANG Guo-an  DENG Guo-he
Institution:HUANG Guo-an1,2,DENG Guo-he1(1.School of Mathematics Science,Guangxi Normal University,Guilin 541004,China,2.Department of Computer,Guilin College of Aerospace Technology,China)
Abstract:The reset feature in a quanto option refers to the payoff structure where the terminal payoff of the quanto option depends on resetting the strike price of either the foreign stock price or the exchange rate at a predetermined time t0∈.The option is a contract which invests to foreign assets and its payoff depends on not only the price of foreign asset,but also the affect of exchange rate and domestic and foreign interest rates.In this paper,we first establish the financial market model and define pricing formulas on quanto reset option of European call option in case of either foreign stock or exchange rates.Second,we derive the analytic price formulas for two types of above with stochastic domestic and foreign interest rates by using martingale method and multivariate jointly normal distribution functions.Finally,we analyze the pricing behaviours with numerical example.
Keywords:quanto options  reset options  stochastic interest rates  Hull-White model  
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