• Proceedings of the Korean Statistical Society Conference
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• 2002.11a
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• pp.191-196
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• 2002

Sales of equity-indexed annuities (EIAs) have rapidly increased, but the growth rates in sales have recently shown signs of slowing down because the current volatile equity market increases the costs of guarantees in EIAs. New EIAs need to be designed that are similar to existing EIAs but have a cheaper guarantee and a higher participation rate. This paper proposes three types of EIAs with higher participation rates: up-and-in barrier EIA, aulual reset EIA with up-and-in barriers, and partial-time lookbackEIA. It also presents a probability distribution and the method of Esscher transforms, with which explicit pricing formulas for these EIAs are derived.

• Communications for Statistical Applications and Methods
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• v.16 no.2
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• pp.249-264
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• 2009

Equity-indexed annuities(EIAs) provide their customers with the greater of either the return linked to the underlying index or the minimum guaranteed return. Insurance companies have developed EIAs to attract customers reluctant to buy traditional fixed annuities because of low returns and also reluctant to buy mutual funds for fear of the high volatility in the stock market. This paper proposes a new type of EIA embedded with an outside barrier option with flexible monitoring period in order to increase its participation rate. It also derives an explicit pricing formula for this proposed product, and discusses numerical examples to show relationships among participation rate, barrier level, index volatility and correlation.