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題名 具Quanto特性的鎖高型權益連動年金之評價
Pricing Ratchet Equity-Indexed Annuities with Quanto Features
作者 邱于芬
Chiu, Yu Fen
貢獻者 陳松男
Chen, Son Nan
邱于芬
Chiu, Yu Fen
關鍵詞 權益連動年金
外匯
風險中立評價
Equity-indexed annuities
foreign exchange
risk-neutral valuation
日期 2010
上傳時間 27-Jun-2013 16:21:48 (UTC+8)
摘要 Quanto EIA是一種具有選擇權特性且能連結至外幣投資的保險年金商品.以往針對權益連動年金所做的文獻中,均未考慮Quanto的特性.本文利用風險中立評價法求算出六種具有Quanto特性的鎖高型權益連動年金商品的評價公式,並進一步利用數值分析來探討各個契約及市場參數對契約價值的影響.
Quanto Ratchet EIAs link to foreign investments and provide options-like properties. The literature covers the pricing of the EIAs that are not quantos. This paper intends to fill the hole. To derive the pricing formulas, we added an exchange rate model as well as a foreign risk-free rate model to the pricing framework of Black and Scholes. Our formulas cover quanto ratchet EIA products for both compound and simple versions that may have a return cap and employ two types of geometric return averaging. We further provide numerical analyses on how contract features and market parameters affect the contract value.
參考文獻 Baxter, M., and A. Rennie. 1996. Financial Calculus: An Introduction to Derivative Pricing. Cambridge University Press.
Black, F. and M. Scholes. 1973. The pricing of options and corporate liabilities. Journal of Political Economy 81: 637-654.
Bjork, T. 2004. Arbitrage Theory in Continuous Time, 2nd eds. Oxford University Press.
Gerber, H., and E. Shiu. 2003. Pricing lookback options and dynamic guarantees. North American Actuarial Journal 7: 48–67.
Hardy, M. 2004. Ratchet equity indexed annuities. In 14th Annual International AFIR Colloquium.
Hardy, M. 2003. Investment Guarantees: Modeling and Risk Management for Equity-Linked Life Insurance. Wiley.
Harrison, J. M., and D. M. Kreps. 1979. Martingales and arbitrage in multiperiod security markets. Journal of Economics Theory 20: 381–408.
Harrison, J. M., and S. R. Pliska. 1981. Martingales and stochastic integrals in the theory of continuous trading. Stochastic Processes and their Applications 11: 215–260.
Hull, J. C. 2006. Options, Futures, and Other Derivatives Securities, 6th eds. Prentice Hall International Editions.
Jaimungal, S. 2004. Pricing and hedging equity indexed annuities with Variance-Gamma deviates. Http://www.utstat.utoronto.ca/sjaimung/papers/eiaVG.pdf.
Kijima, M., and T. Wong. 2007. Pricing of ratchet equity-indexed annuities under stochastic interest rates. Insurance: Mathematics and Economics 41: 317-338.
Lee, H. 2003. Pricing equity-indexed annuities with path-dependent options. Insurance, Mathematics, and Economics 33: 677–690.
Lin, S. X., and K. S. Tan. 2003. Valuation of equity-indexed annuities under stochastic interest rates. North American Actuarial Journal 6: 72–91.
Tiong, S. 2000. Valuing equity-indexed annuities. North American Actuarial Journal 4: 149–163; Discussions 4: 163-170 and 5: 128-136.
Vasicek, O. 1977. An equilibrium characterization of the term structure. Journal of Financial Economics 5: 177-188.
描述 博士
國立政治大學
金融研究所
91352508
99
資料來源 http://thesis.lib.nccu.edu.tw/record/#G0913525081
資料類型 thesis
dc.contributor.advisor 陳松男zh_TW
dc.contributor.advisor Chen, Son Nanen_US
dc.contributor.author (Authors) 邱于芬zh_TW
dc.contributor.author (Authors) Chiu, Yu Fenen_US
dc.creator (作者) 邱于芬zh_TW
dc.creator (作者) Chiu, Yu Fenen_US
dc.date (日期) 2010en_US
dc.date.accessioned 27-Jun-2013 16:21:48 (UTC+8)-
dc.date.available 27-Jun-2013 16:21:48 (UTC+8)-
dc.date.issued (上傳時間) 27-Jun-2013 16:21:48 (UTC+8)-
dc.identifier (Other Identifiers) G0913525081en_US
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/58583-
dc.description (描述) 博士zh_TW
dc.description (描述) 國立政治大學zh_TW
dc.description (描述) 金融研究所zh_TW
dc.description (描述) 91352508zh_TW
dc.description (描述) 99zh_TW
dc.description.abstract (摘要) Quanto EIA是一種具有選擇權特性且能連結至外幣投資的保險年金商品.以往針對權益連動年金所做的文獻中,均未考慮Quanto的特性.本文利用風險中立評價法求算出六種具有Quanto特性的鎖高型權益連動年金商品的評價公式,並進一步利用數值分析來探討各個契約及市場參數對契約價值的影響.zh_TW
dc.description.abstract (摘要) Quanto Ratchet EIAs link to foreign investments and provide options-like properties. The literature covers the pricing of the EIAs that are not quantos. This paper intends to fill the hole. To derive the pricing formulas, we added an exchange rate model as well as a foreign risk-free rate model to the pricing framework of Black and Scholes. Our formulas cover quanto ratchet EIA products for both compound and simple versions that may have a return cap and employ two types of geometric return averaging. We further provide numerical analyses on how contract features and market parameters affect the contract value.en_US
dc.description.tableofcontents 1. INTRODUCTION 5
2. PRODUCT SPECIFICATION AND VALUATION 8
2.1 Product Specification 8
2.2 Risk-Neutral Valuation 10
3. PRICING FORMULAS 13
3.1 Quanto Ratchet EIAs without Index Averaging 13
3.1.1 Simple Quanto Ratchet EIAs 13
3.1.2 Compound Quanto Ratchet EIAs 15
3.2 Quanto Ratchet EIAs with G1 Index Averaging 15
3.3 Quanto Ratchet EIAs with G2 Index Averaging 17
4. NUMERICAL ILLUSTRATIONS 20
4.1 Valuation Examples 20
4.2 Parameter Analyses 20
4.2.1 Impact of return cap 21
4.2.2 Impact of Return Floor Rate 23
4.2.3 Impact of Participation Rate 24
4.2.4 Impact of Return Averaging 25
4.2.5 Impact of the Volatility of Linked Index 26
4.2.6 Impact of the Volatility of Exchange Rate 27
4.2.7 Impact of the correlation coefficient of log(S(t)) and log(C(t)) 28
4.2.8 Impact of the Domestic Risk-Free Rate 29
4.2.9 Impact of the Foreign Risk-Free Rate 30
5. CONCLUSIONS 31
References 35
zh_TW
dc.format.extent 571200 bytes-
dc.format.mimetype application/pdf-
dc.language.iso en_US-
dc.source.uri (資料來源) http://thesis.lib.nccu.edu.tw/record/#G0913525081en_US
dc.subject (關鍵詞) 權益連動年金zh_TW
dc.subject (關鍵詞) 外匯zh_TW
dc.subject (關鍵詞) 風險中立評價zh_TW
dc.subject (關鍵詞) Equity-indexed annuitiesen_US
dc.subject (關鍵詞) foreign exchangeen_US
dc.subject (關鍵詞) risk-neutral valuationen_US
dc.title (題名) 具Quanto特性的鎖高型權益連動年金之評價zh_TW
dc.title (題名) Pricing Ratchet Equity-Indexed Annuities with Quanto Featuresen_US
dc.type (資料類型) thesisen
dc.relation.reference (參考文獻) Baxter, M., and A. Rennie. 1996. Financial Calculus: An Introduction to Derivative Pricing. Cambridge University Press.
Black, F. and M. Scholes. 1973. The pricing of options and corporate liabilities. Journal of Political Economy 81: 637-654.
Bjork, T. 2004. Arbitrage Theory in Continuous Time, 2nd eds. Oxford University Press.
Gerber, H., and E. Shiu. 2003. Pricing lookback options and dynamic guarantees. North American Actuarial Journal 7: 48–67.
Hardy, M. 2004. Ratchet equity indexed annuities. In 14th Annual International AFIR Colloquium.
Hardy, M. 2003. Investment Guarantees: Modeling and Risk Management for Equity-Linked Life Insurance. Wiley.
Harrison, J. M., and D. M. Kreps. 1979. Martingales and arbitrage in multiperiod security markets. Journal of Economics Theory 20: 381–408.
Harrison, J. M., and S. R. Pliska. 1981. Martingales and stochastic integrals in the theory of continuous trading. Stochastic Processes and their Applications 11: 215–260.
Hull, J. C. 2006. Options, Futures, and Other Derivatives Securities, 6th eds. Prentice Hall International Editions.
Jaimungal, S. 2004. Pricing and hedging equity indexed annuities with Variance-Gamma deviates. Http://www.utstat.utoronto.ca/sjaimung/papers/eiaVG.pdf.
Kijima, M., and T. Wong. 2007. Pricing of ratchet equity-indexed annuities under stochastic interest rates. Insurance: Mathematics and Economics 41: 317-338.
Lee, H. 2003. Pricing equity-indexed annuities with path-dependent options. Insurance, Mathematics, and Economics 33: 677–690.
Lin, S. X., and K. S. Tan. 2003. Valuation of equity-indexed annuities under stochastic interest rates. North American Actuarial Journal 6: 72–91.
Tiong, S. 2000. Valuing equity-indexed annuities. North American Actuarial Journal 4: 149–163; Discussions 4: 163-170 and 5: 128-136.
Vasicek, O. 1977. An equilibrium characterization of the term structure. Journal of Financial Economics 5: 177-188.
zh_TW