Pricing long-maturity equity and FX dervatives with stochastic interest rates and stochastic volatility

In this paper we extend the stochastic volatility model of Schöbel and Zhu (1999) by including stochastic interest rates. We allow all driving model factors to be instantaneously correlated witheach other, i.e. we allow for a general correlation structure between the instantaneous interest rates, the volatilities and the underlying stock returns. By deriving the characteristic function of the log-asset price distribution, we are able to price European stock options eciently and in closed-form by Fourier inversion. Furthermore we present a Foreign Exchange generalization of the model and show how the pricing of forward starting options can be performed. Finally, weconclude.

Netspar, Network for Studies on Pensions, Aging and Retirement, is a thinktank and knowledge network. Netspar is dedicated to promoting a wider understanding of the economic and social implications of pensions, aging and retirement in the Netherlands and Europe.

MORE ABOUT NETSPAR


Mission en strategy           •           Network           •           Organisation           •          Magazine
Netspar Brief            •            Actionplan 2019-2023           •           Researchagenda

ABOUT NETSPAR

Our partners

B20220412_SPIN_logo+naam_2xPMS_2_voettekst
B20160708_universiteit leiden
B20160708_asr
BPL_Pensioen_logo+pay-off - 1610-1225 v1.1_grijswaarden
B20220329_sph huisartsen
View all partners