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題名 Fast Algorithms for Pricing Ratchet Equity Indexed Annuities
作者 Chiu, Yu-fen; Chen, Son-Nan; Hsieh, Ming-hua
謝明華;邱于芬;陳松男
貢獻者 風管系
關鍵詞 Annuities; Insurance; Options
日期 2010-09
上傳時間 18-Mar-2014 17:34:24 (UTC+8)
摘要 Equity Indexed Annuities (EIAs) are popular insurance contracts. EIAs provide the insured with a guaranteed accumulation rate on their premium at maturity. In addition, the insured may receive extra benefit if the return of the linked index is high enough. There are a few variations of EIAs. We consider two types of EIAs: compound ratchet and simple ratchet. Under the geometric Brownian motion assumption for the equity index, plain compound ratchet options is known to have closed form solutions, but plain simple ratchet option is not. In this paper, we derive a closed form solution for plain simple ratchet option. For more exotic options, Monte Carlo methods are usually used for their valuation. To improve their efficiency, we propose Monte Carlo algorithm using two control variates based on the analytical solutions for the price of plain ratchet options. Through numerical examples of a typical contract, we found that the proposed algorithms are very efficient.
關聯 International Research Journal of Finance and Economics, 48, 144-152
資料類型 article
dc.contributor 風管系en_US
dc.creator (作者) Chiu, Yu-fen; Chen, Son-Nan; Hsieh, Ming-huaen_US
dc.creator (作者) 謝明華;邱于芬;陳松男zh_TW
dc.date (日期) 2010-09en_US
dc.date.accessioned 18-Mar-2014 17:34:24 (UTC+8)-
dc.date.available 18-Mar-2014 17:34:24 (UTC+8)-
dc.date.issued (上傳時間) 18-Mar-2014 17:34:24 (UTC+8)-
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/64659-
dc.description.abstract (摘要) Equity Indexed Annuities (EIAs) are popular insurance contracts. EIAs provide the insured with a guaranteed accumulation rate on their premium at maturity. In addition, the insured may receive extra benefit if the return of the linked index is high enough. There are a few variations of EIAs. We consider two types of EIAs: compound ratchet and simple ratchet. Under the geometric Brownian motion assumption for the equity index, plain compound ratchet options is known to have closed form solutions, but plain simple ratchet option is not. In this paper, we derive a closed form solution for plain simple ratchet option. For more exotic options, Monte Carlo methods are usually used for their valuation. To improve their efficiency, we propose Monte Carlo algorithm using two control variates based on the analytical solutions for the price of plain ratchet options. Through numerical examples of a typical contract, we found that the proposed algorithms are very efficient.en_US
dc.format.extent 235 bytes-
dc.format.mimetype text/html-
dc.language.iso en_US-
dc.relation (關聯) International Research Journal of Finance and Economics, 48, 144-152en_US
dc.subject (關鍵詞) Annuities; Insurance; Optionsen_US
dc.title (題名) Fast Algorithms for Pricing Ratchet Equity Indexed Annuitiesen_US
dc.type (資料類型) articleen