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Persistent link: https://www.econbiz.de/10001450616
We consider two sequences of Markov chains inducing equivalent measures on the discrete path space. We establish conditions under which these two measures converge weakly to measures induced on the Wiener space by weak solutions of two SDEs, which are unique in the sense of probability law. We...
Persistent link: https://www.econbiz.de/10011544749
Although the effect of interest rate stochasticity can safely be ignored for short-dated exchange traded volatility derivatives, this is not the case for the kind of long-dated OTC derivatives often used by insurance companies and other financial institutions. We therefore extend existing...
Persistent link: https://www.econbiz.de/10013022607
This paper proposes an integrated pricing framework for convertible bonds, which comprises firm value evolving as an exponential jump diffusion, correlated stochastic interest rates movements and an efficient numerical pricing scheme. By construction, the proposed stochastic model fits in the...
Persistent link: https://www.econbiz.de/10012906221
This is a survey of the basic theoretical foundations of intertemporal asset pricing theory. The broader theory is first reviewed in a simple discrete-time setting, emphasizing the key role of state prices. The existence of state prices is equivalent to the absence of arbitrage. State prices,...
Persistent link: https://www.econbiz.de/10014023860
In this paper, the Federal Funds Rate Target and the one-year T-Bill are the two yield-factors explaining the movements of the term structure, Using Duffie and Kan (1996) approach, the two rates are consistently modeled and an affine model of the term structure results that is able to...
Persistent link: https://www.econbiz.de/10013143700
This is a short comment on Kung and Lee's paper. In this note, we show that the formulae given in Kung and Lee (2009) for European call and put option under Merton's model of the short rate are incorrect. We give the correct derivations making use of the "change of numeraire" technique which is...
Persistent link: https://www.econbiz.de/10013147396
We construct multi-currency models with stochastic volatility and correlated stochastic interest rates with a full matrix of correlations. We first deal with a foreign exchange (FX) model of Heston-type, in which the domestic and foreign interest rates are generated by the short-rate process of...
Persistent link: https://www.econbiz.de/10013069789
We define an equity-interest rate hybrid model in which the equity part is driven by the Heston stochastic volatility [Hes93], and the interest rate (IR) is generated by the displaced-diffusion stochastic volatility Libor Market Model [AA02]. We assume a non-zero correlation between the main...
Persistent link: https://www.econbiz.de/10013070335
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