cumulative 发表于 2025-3-25 06:09:37
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One-factor short-rate modelsss .. Modeling directly such dynamics is very convenient since all fundamental quantities (rates and bonds) are readily defined, by no-arbitrage arguments, as the expectation of a functional of the process .. Indeed, the existence of a risk-neutral measure implies that the arbitrage-free price at tiObedient 发表于 2025-3-25 16:56:15
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Cases of Calibration of the LIBOR Market Modelata. We study several cases based on different instantaneous-volatility parameterizations. We will also point out a particular parameterization allowing for a closed-form-formulas calibration to swaption volatilities and establishing a one to one correspondence between swaption volatilities and LFMoracle 发表于 2025-3-26 02:14:53
http://reply.papertrans.cn/48/4710/470904/470904_26.pnganimated 发表于 2025-3-26 04:24:06
Local-Volatility Modelsderlying asset, Dupire (1994, 1997) has derived a candidate LVM that is compatible with the given implied-volatility surface. Balland and Hughston (2000) and Brigo and Mercurio (2003), see Section 10.13, have addressed a similar issue in the interest-rate case, where a single caplet maturity is avaiGlucose 发表于 2025-3-26 08:54:39
Stochastic-Volatility Modelsn process driven by a Brownian motion that is possibly instantaneously correlated with those governing the rates’ evolution. Formally, the general forward rate . is assumed to evolve under its canonical measure . according to . where . and . are deterministic functions, . ∈ {1/2, 1}, . and . are adacoltish 发表于 2025-3-26 15:42:32
Uncertain-Parameter Modelsin the financial literature as an easy-to-implement alternative to SVMs. UVMs are based on the assumption that the asset’s volatility is stochastic in the simplest possible way, modelled by a random variable rather than a diffusion process. Precisely, the dynamics of a general forward rate . under tGorilla 发表于 2025-3-26 18:07:57
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