The conventional actuarial models tend to reflect the loss
distribution of the supply side on the insurance market i.e.,
the price of the insurance contract is determined unilaterally
by the insurers so as to meet the least requirement that the
insurers will not go bankrupt. However, there also exist some
defectsin most of the fiancial pricing models.In order to
regul- ate the pricing of property-liability insurance
contracts, this study , based on the theory of contingent claim
valuation, devel- ops the insurance pricing formulas, which
will lead to fair insurnce pricing . Firstly, this stdy
constructs a general valua- tion model for property-liability
insurance contracts, which takes into account the cash flows
consisting of both the claim indemnity and the investment
income. Secondly, to obtain a closed form solution of the
pricing formula , this study considers the specific case which
the insurer confronts with the frgequency and the severity risk
, and thence derives a pricing formula , into which the jumps
incurred in claim indemnity are considered. The results show
that the pricing of property-liability insurance contracts will
depend on the ratio of the claim indemnity relat- ive to the
the investment income. Furthermore, the jumps incurred in claim
indemnity will exert significant impact upon both the assets
and liabities of the insurer.Hence, the price of property-
liability insurance contracts will also increase drastically
with these jumps.