منابع مشابه
Stop Loss Reinsurance
Stop loss is a nonproportional type of reinsurance and works similarly to excess-of-loss reinsurance. While excess-of-loss is related to single loss amounts, either per risk or per event, stop-loss covers are related to the total amount of claims X in a year – net of underlying excess-of-loss contracts and/or proportional reinsurance. The reinsurer pays the part of X that exceeds a certain amou...
متن کاملOptimal retention for a stop-loss reinsurance with incomplete information
This paper considers the determination of optimal retention in a stop-loss reinsurance. Assume that we only have incomplete information on a risk X for an insurer, we use an upper bound for the value at risk (VaR) of the total loss of an insurer after stop-loss reinsurance arrangement as a risk measure. The adopted method is a distribution-free approximation which allows to construct the extrem...
متن کاملOptimal Retention for a Stop-Loss Reinsurance under the VaR and CTE Risk Measures
We propose practical solutions for the determination of optimal retentions in a stop-loss reinsurance. We develop two new optimization criteria for deriving the optimal retentions by, respectively, minimizing the value-at-risk (VaR) and the conditional tail expectation (CTE) of the total risks of an insurer. We establish necessary and sufficient conditions for the existence of the optimal reten...
متن کاملPareto Type Distributions and Excess-of-loss Reinsurance
To be consistent with Extreme Value Theory the pricing of excess-of-loss reinsurance contracts should be based on Pareto type distributions. In this context, two recent Pareto type distributions are considered and compared. The state of a geometric Brownian motion after an exponentially distributed random time with log-normally distributed initial state generates a four-parameter Pareto type di...
متن کاملTruncated Stop Loss as Optimal Reinsurance Agreement in One-period Models By
We consider several one-period reinsurance models and derive a rule which minimizes the ruin probability of the cedent for a fixed reinsurance risk premium. The premium is calculated according to the economic principle, generalized zero-utility principle, Esscher principle or mean-variance principles. It turns out that a truncated stop loss is an optimal treaty in the class of all reinsurance c...
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ژورنال
عنوان ژورنال: Mathematical Problems in Engineering
سال: 2021
ISSN: 1563-5147,1024-123X
DOI: 10.1155/2021/2839726