Contagion has been described as the spread of idiosyncratic shocks from one mar
ket to another in times of ?nancial turmoil. In this work, contagion has been
modelled using a global factor to capture the general market movements and
idiosyncratic shocks are used to capture co-movements and volatility spill-over
between markets. Many previous studies have used pre-speci?ed turmoil and
calm periods to understand when contagion occurs. We introduce time-varying
parameters which model the volatility spillover from one country to another. This
approach avoids the need to pre-specify particular types of periods using external
information. E?cient Bayesian inference can be made using the Kalman ?lter in
a forward ?ltering and backward sampling algorithm. The model is applied to
market indices for Greece and Spain to understand the e?ect of contagion dur
ing the European sovereign debt crisis 2007-2013 (Euro crisis) and examine the
volatility spillover between Greece and Spain. Similarly, the volatility spillover
from Hong Kong to Singapore during the Asian ?nancial crisis 1997-1998 has also
been studied.
After a review of the research work in the ?nancial contagion area and of the
de?nitions used, we have speci?ed a model based on the work by Dungey et al.
(2005) and include a world factor. Time varying parameters are introduced and
Bayesian inference and MCMC simulations are used to estimate the parameters.
This is followed by work using the Normal Mixture model based on the paper by
Kim et al. (1998) where we realised that the volatility parameters results depended
ii
on the value of the ‘mixture o?set’ parameter. We propose method to overcome
the problem of setting the parameter value.
In the ?nal chapter, a stochastic volatility model with with heavy tails for the
innovations in the volatility spillover is used and results from simulated cases and
the market data for the Asian ?nancial crisis and Euro crisis are summarised.
Brie?y, the Asian ?nancial crisis periods are identi?ed clearly and agree with
results in other published work. For the Euro crisis, the periods of volatility
spillover (or ?nancial contagion) are identi?ed too, but for smaller periods of
time.
We conclude with a summary and outline of further work