Researchers in actuarial sciences have investigated the tail behavior of the LCR and ECOMOR reinsurance treaties separately for managing extreme risks in reinsurance business. In practice, a reinsurance company may possess these two treaties simultaneously. Therefore, investigating the joint...

In certain cases partial sums of i.i.d. random variables with finite variance are better approximated by asequence of stable distributions with indices alpha_n o 2 than by a normal distribution. We discusswhen this happens and how much the convergence rate can be improved by using...

Suppose our data {Xn} come from the model Xt=[summation operator]j=0[infinity]cjZt-j, where {Zn} are i.i.d. with a symmetric distribution function which lies in the domain of normal attraction of a stable law with index [alpha][set membership, variant](1,2). Further we assume that cj=jd-1L(j),...

This paper proposes a new approach of valuing portfolios that contain illiquid assets. The approach has three major advantages. First, the estimators are arithmetic averages of individual asset returns or their proxies, so they strictly correspond to actual portfolio returns. Second, the...

This paper develops a real-time structural model of price formation, and uses it to investigate the dynamics of effective quotes and bid-ask spreads between consecutive trades. There is some evidence that the effective bid-ask spreads increase over time when no orders arrive. The effective...

For estimating a rare event via the multivariate extreme value theory, the so-called tail dependence function has to be investigated (see [L. de Haan, J. de Ronde, Sea and wind: Multivariate extremes at work, Extremes 1 (1998) 7-45]). A simple, but effective estimator for the tail dependence...