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arbitrage-free bond market under volatility uncertainty. The uncertainty about the volatility is modeled by a G-Brownian motion …We study the pricing of contracts in fixed income markets in the presence of volatility uncertainty. We consider an … of the expectations hypothesis and a valuation method for bond options. With these tools, we derive robust pricing rules …
Persistent link: https://www.econbiz.de/10012175590
In this article we define a multi-factor equity-interest rate hybrid model with non-zero correlation between the stock and interest rate. The equity part is modeled by the Heston model [Heston-1993] and we use a Gaussian multi-factor short rate process [Brigo,Mercurio-2007; Hull-2006]. By...
Persistent link: https://www.econbiz.de/10013070982
This paper deals with issues related to the choice of the interest rate model to price interest rate derivatives. After the development of the market models, choosing the interest rate model has become almost a trivial task. However, their use is not always possible, so that the problem of...
Persistent link: https://www.econbiz.de/10013130645
maturity varying yields, maturity varying volatility, and maturity varying interest rates. Most research papers focused on …
Persistent link: https://www.econbiz.de/10012862329
of the derivative, but also the probability of default of a counterparty. Another complication arises in the calculation …
Persistent link: https://www.econbiz.de/10010358352
We present a Graphics Processing Unit (GPU) parallelization of the computation of the price of cross-currency interest rate derivatives via a Partial Differential Equation (PDE) approach. In particular, we focus on the GPU-based parallel computation of the price of long-dated foreign exchange...
Persistent link: https://www.econbiz.de/10013150451
Over the last decade, dividends have become a standalone asset class instead of a mere side product of an equity investment. We introduce a framework based on polynomial jump-diffusions to jointly price the term structures of dividends and interest rates. Prices for dividend futures, bonds, and...
Persistent link: https://www.econbiz.de/10011874740
actively traded VIX options. Under the model, the evolution of future VIX is completely determined by the volatility function … of forward VIX squared normalized by VIX futures prices. A general volatility function with one- to three-factor models … general volatility function that incorporates mean-reversion and hump effects to test two multifactor models, (iii) finding …
Persistent link: https://www.econbiz.de/10013148021
volatility surface. The rapid development of the CDS market has provided convenient products to extract credit risk, and its … interaction with equity volatility has been analyzed in many studies. However, in most of them the 5-year credit default swap … spread is used to measure credit risk, whilst the at-the-money 1-month implied volatility is used to measure equity …
Persistent link: https://www.econbiz.de/10014254192
We construct multi-currency models with stochastic volatility and correlated stochastic interest rates with a full … interest rate by a stochastic volatility displaced-diffusion Libor Market Model [AA02], which can model an interest rate smile …
Persistent link: https://www.econbiz.de/10013069789