A. Balbas et al., How financial theory applies to catastrophe-linked derivatives - An empirical test of several pricing models., J RISK INS, 66(4), 1999, pp. 551-581
This paper discusses the PCS Catastrophe Insurance Option Contracts, provid
ing empirical support on the level of correspondence between real quotes an
d standard financial theory. The highest possible precision is incorporated
since the real quotes are perfectly synchronized and the bid-ask spread is
always considered. A static setting is assumed and the main topics of arbi
trage, hedging, and portfolio choice are involved in the analysis. Three si
gnificant conclusions are reached. First, the catastrophe derivatives may o
ften be priced by arbitrage methods, and the paper provides some examples o
f practical strategies that were available in the market. Second, hedging a
rguments also yield adequate criteria to price the derivatives, and some re
al examples are provided as well. Third, in a variance aversion context man
y agents could be interested in selling derivatives to invest the money in
stocks and bonds. These strategies show a suitable level in the variance fo
r any desired expected return. Furthermore, the methodology here applied se
ems to be quite general and may be useful to price other derivative securit
ies. Simple assumptions on the underlying asset behavior are the only requi
red conditions.