Pricing the Excess Volatility in Foreign Exchange Risk Premium and Forward Rate Bias

Q3 Mathematics
T. T. Swan, Bruce Q. Swan, Xinfu Chen
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引用次数: 0

Abstract

ABSTRACT We present the pricing of the documented excess volatility of the foreign exchange risk premium, relative to the interest rate differential. By specifying a term structure of interest rate model, the physical probability measure along with the pricing kernels or discount factors are used to derive a system for the expected future spot rate and the forward rate. The theoretical loads are found by solving the Riccati ordinary differential equations, and dynamic factors are captured to set up the global factors for both currencies. It shows that we prove the interest-rate surfaces are almost identical to the empirical ones, and the theoretical interest rates are guaranteed to be positive.
外汇风险溢价的超额波动定价与远期汇率偏差
我们提出了外汇风险溢价相对于利率差异的超额波动的定价。通过指定利率模型的期限结构,利用物理概率度量以及定价核或贴现因子,推导出预期未来即期利率和远期利率的系统。通过求解Riccati常微分方程找到理论载荷,并捕获动态因子以建立两种货币的全局因子。结果表明,我们证明了利率面与经验利率面几乎相同,理论利率保证为正。
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来源期刊
Applied Mathematical Finance
Applied Mathematical Finance Economics, Econometrics and Finance-Finance
CiteScore
2.30
自引率
0.00%
发文量
6
期刊介绍: The journal encourages the confident use of applied mathematics and mathematical modelling in finance. The journal publishes papers on the following: •modelling of financial and economic primitives (interest rates, asset prices etc); •modelling market behaviour; •modelling market imperfections; •pricing of financial derivative securities; •hedging strategies; •numerical methods; •financial engineering.
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