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2022-04-11
摘要翻译:
本文引入了一个考虑汇率波动率和相关随机利率的可处理多货币模型,该模型考虑了外汇市场的微笑和收益率曲线的演化。通过FFT方法可以有效地对外汇利率的vanilla期权进行定价,由于该模型的亲和力,我们的框架也能够描述外汇利率和利率之间的许多非琐碎的联系:第二个校准练习强调了该模型在与利率产品一致的同时拟合外汇隐含波动的能力。
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英文标题:
《An analytic multi-currency model with stochastic volatility and
  stochastic interest rates》
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作者:
Alessandro Gnoatto and Martino Grasselli
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最新提交年份:
2013
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分类信息:

一级分类:Quantitative Finance        数量金融学
二级分类:Pricing of Securities        证券定价
分类描述:Valuation and hedging of financial securities, their derivatives, and structured products
金融证券及其衍生产品和结构化产品的估值和套期保值
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一级分类:Mathematics        数学
二级分类:Probability        概率
分类描述:Theory and applications of probability and stochastic processes: e.g. central limit theorems, large deviations, stochastic differential equations, models from statistical mechanics, queuing theory
概率论与随机过程的理论与应用:例如中心极限定理,大偏差,随机微分方程,统计力学模型,排队论
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一级分类:Quantitative Finance        数量金融学
二级分类:Computational Finance        计算金融学
分类描述:Computational methods, including Monte Carlo, PDE, lattice and other numerical methods with applications to financial modeling
计算方法,包括蒙特卡罗,偏微分方程,格子和其他数值方法,并应用于金融建模
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英文摘要:
  We introduce a tractable multi-currency model with stochastic volatility and correlated stochastic interest rates that takes into account the smile in the FX market and the evolution of yield curves. The pricing of vanilla options on FX rates can be performed effciently through the FFT methodology thanks to the affinity of the model Our framework is also able to describe many non trivial links between FX rates and interest rates: a second calibration exercise highlights the ability of the model to fit simultaneously FX implied volatilities while being coherent with interest rate products.
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PDF链接:
https://arxiv.org/pdf/1302.7246
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