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Guaranteed investment contracts: distributed and undistributed excess return

机译:保证投资合同:分配和未分配的超额收益

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摘要

Annual minimum rate of return guarantees are analyzed together with rules for distribution of positive excess return, i.e. investment returns in excess of the guaranteed minimum return. Together with the level of the annual minimum rate of return guarantee both the customer's and the insurer's fractions of the positive excess return are determined so that the market value of the insurer's capital inflow (determined by the fraction of the positive excess return) equals the market value of the insurer's capital outflow (determined by the minimum rate of return guarantee) at the inception of the contract.The analysis is undertaken both with and without a surplus distribution mechanism. The surplus distribution mechanism works through a bonus account that serves as a buffer in the following sense: in ("bad") years when the investment returns are lower than the minimum rate of return guarantee, funds are transferred from the bonus account to the customer's account. In ("good") years when the investment returns are above the minimum rate of return guarantee, a part of the positive excess return is credited to the bonus account.In addition to characterizations of fair combinations of the level of the annual minimum rate of return guarantee and the sharing rules of the positive excess return, our analysis indicates that the presence of a surplus distribution mechanism allows the insurer to offer a much wider menu of contracts to the customer than without a surplus distribution mechanism.
机译:分析年度最低回报率保证金以及正超额收益的分配规则,即超过保证最低回报率的投资收益。连同年度最低收益率保证水平一起,确定了客户和保险公司正超额收益的比例,从而使保险公司资本流入的市场价值(由正超额收益的比例确定)等于市场合同开始时保险公司资本流出的价值(由最低回报保证率确定)。无论是否有盈余分配机制,都要进行分析。盈余分配机制通过奖金帐户发挥作用,奖金帐户在以下意义上用作缓冲:在(“不良”)年份,当投资回报低于最低回报保证率时,资金将从奖金帐户转移到客户的帐户。在投资收益高于最低收益保证率的(“良好”)年份中,正超额收益的一部分将记入奖金帐户。除了表征年度最低收益率水平的合理组合之外,收益担保和正超额收益的分担规则,我们的分析表明,与没有剩余分配机制的情况相比,剩余分配机制的存在使保险人可以为客户提供更为广泛的合同菜单。

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