The Longstaff – Schwartz model is considered both in the space of latent state variables and in the space of observable (or estimated) state variables. Analytical expressions for yield curves to maturity and forward curves are obtained in both cases. Based on the analysis of the Longstaff –...

The possibility of representation of yield term structures in the form of polynomials or power series in models where short-term interest rate processes are described by stochastic differential equations is considered. In most diffusion models of short-term interest rate processes the functions...

Models of Daffie–Kan, describing dynamics of a short-term interest rate in a case when the state of the financial market is characterized not only by level of the interest rate, but also one more parameter changing in time are investigated. Two cases are considered. In the first in quality of...

Interest rate models in which the short-term rate is a unique state variable are usually considered. These models are attractive that analytical decisions often give the chance to receive and provide concerning the simple computing analysis. However one-factor models have certain lacks. Basic of...

The paper studies the properties of curves of yield to maturity and forward rates curves for multifactorial and three concrete two-factor Vasiček models with two state variables:• The short-term rate and its average local-in-time value; • The short-term rate and its exponentially smoothed...

Within framework of the theory of diffusion processes there are various versions of an evolution of short-term yield interest rates. Nevertheless till now there was no such model which could be a suitable basis for construction of term structure of yield close to existing on real financial...

It is shown that the requirement to satisfy the no-arbitrage conditions specifies the Nelson–Siegel–Svensson model in the sense that gives for coefficients of this model the obvious economic sense: the free coefficient should be function on term to maturity, and other coefficients should...

In paper it is offered to consider a time variable that describes term to maturity of zero-coupon bonds as result of nonlinear transformation of the temporary terms that are independent on parameters of interest rate dynamics model, allowing to map the time numerical axis into an interval of...

Historically, the first popular model of the dynamics of the interest rate is the Vasiček model proposed in 1977. It was considered in the preceding article. In this model, the interest rate has a normal distribution, which is obviously economically untenable, because in terms of the interest...