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題名 匯率風險下之最適跨期投資組合
作者 黃于玶
貢獻者 張士傑
黃于玶
關鍵詞 匯率風險
跨期投資組合
平賭理論
風險波動度
電腦模擬
exchange rate risk
intertemporal investment
martingale
volatility
simulation
日期 2008
上傳時間 8-Dec-2010 16:34:49 (UTC+8)
摘要 本文研究保險人於匯率風險下之最適跨期投資組合。隨著資本市場全球化發展,從事國外投資受到匯率風險之影響加劇。本研究提出動態投資組合模型,針對壽險業之利變型商品,分析保險人於匯率風險之下之最適跨期投資組合。考慮資產集合包含本國現金、本國指數型股票基金、外國現金和外國指數型股票基金四項標的。本文研究方法主要以Cox & Huang(1989, 1991)平賭理論處理最適投資議題,將多期問題變為單期,求得保險人之最適投資組合。最後本文針對不同的匯率走勢與匯率風險波動度,利用電腦模擬,觀察不同風險趨避程度保險人之投資組合變化。
本文結果歸納如下:
1. 於風險市場價值、波動度和國內外無風險短期利率為定值下,保險人最適組合分別是擁有固定比例本國股票部位,外國股票部位則與匯率走勢呈負相關,而本國現金部位與外國現金部位呈現相反趨勢。發現匯率增量趨勢與外國現金帳戶、外國指數型股票基金和本國現金部位趨勢相同。
2. 匯率風險將影響保險人持有外國資產意願。若匯率風險波動度由0.1提高至0.3,則外國現金部位之最大值會從6.23下降到0.66。而外國股票持有部位於短期會增加,但隨著投資期限增加而逐漸遞減。同時短期增加之幅度小於外國現金減少之部分。整體而言,持有外國資產比例隨匯率風險波動度變大而遞減。

關鍵字:匯率風險、跨期投資組合、平賭理論、風險波動度、電腦模擬
參考文獻 Anthony, M. and MacDonald, R., 1998. On the mean reverting properties of target zone exchange rates: some evidence from the ERM. European Economic Review 42, 1492-1523.
Brennan, M. J. and Xia, Y. H., 2002. Dynamic asset allocation under inflation. Journal of Finance 57, 1201-1238.
Cox, J. C. and Huang, C. F., 1989. Optimum consumption and portfolio policies when
asset price follow a diffusion process. Journal of Economic Theory 49, 33-83.
Cox, J. and Huang, C. F., 1991. A variational problem arisen in financial economics.
Journal of Mathematical Economics 20, 465-487.
Chiou, W. P., 2009. Benefits of international diversification with investment constraints: An over-time perspective. Journal of Multinational Financial Management 19, 93-110.
Fletcher, J. and Marshall, A., 2005. An empirical examination of the benefits of international diversification. Journal of International Financial Markets, Institutions & Money 15, 455-468.
Grubel, H. G. 1968. Internationally diversified portfolios: Welfare gain and capital flows. The American Economic Review 58, 1299-1314.
Hui, C. H., Lo, C. F., Yeung, V. and Fung, L. 2008. Valuing foreign currency options with a mean-reverting process: A study of Hong Kong dollar. International Journal of Finance and Economics 13, 118-134.
Lioui, A. and Poncet, P., 2001. On optimal portfolio choice under stochastic interest
rates. Journal of Economic Dynamics and Control 25, 1841-1865.
Lioui, A. and Poncet, P., 2003. International asset allocation: a new perspective.
Journal of Banking and Finance 27, 2203-2230.
Merton, R. C., 1971. Optimum consumption and portfolio rules in a continuous-time
case. Journal of Economy Theory 3, 373-413.
Merton, R. C., 1992. Continuous time finance, Cambridge, Blackwell.
Rose, A. K. and Svensson, L., 1994. European exchange rate credibility before the fall. European Economics Review 38, 1185-1216.
Sorensen, C., 1999. Dynamic asset allocation and fixed income management. Journal of Financial and Quantitative Analysis 34, 513-531.
Ziobrowski, B. J. and Ziobrowski, A. J., 1995. Exchange rate risk and internationally diversified portfolios. Journal of International Money and Finance 14, 65-81.
描述 碩士
國立政治大學
風險管理與保險研究所
96358020
97
資料來源 http://thesis.lib.nccu.edu.tw/record/#G0096358020
資料類型 thesis
dc.contributor.advisor 張士傑zh_TW
dc.contributor.author (Authors) 黃于玶zh_TW
dc.creator (作者) 黃于玶zh_TW
dc.date (日期) 2008en_US
dc.date.accessioned 8-Dec-2010 16:34:49 (UTC+8)-
dc.date.available 8-Dec-2010 16:34:49 (UTC+8)-
dc.date.issued (上傳時間) 8-Dec-2010 16:34:49 (UTC+8)-
dc.identifier (Other Identifiers) G0096358020en_US
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/49680-
dc.description (描述) 碩士zh_TW
dc.description (描述) 國立政治大學zh_TW
dc.description (描述) 風險管理與保險研究所zh_TW
dc.description (描述) 96358020zh_TW
dc.description (描述) 97zh_TW
dc.description.abstract (摘要) 本文研究保險人於匯率風險下之最適跨期投資組合。隨著資本市場全球化發展,從事國外投資受到匯率風險之影響加劇。本研究提出動態投資組合模型,針對壽險業之利變型商品,分析保險人於匯率風險之下之最適跨期投資組合。考慮資產集合包含本國現金、本國指數型股票基金、外國現金和外國指數型股票基金四項標的。本文研究方法主要以Cox & Huang(1989, 1991)平賭理論處理最適投資議題,將多期問題變為單期,求得保險人之最適投資組合。最後本文針對不同的匯率走勢與匯率風險波動度,利用電腦模擬,觀察不同風險趨避程度保險人之投資組合變化。
本文結果歸納如下:
1. 於風險市場價值、波動度和國內外無風險短期利率為定值下,保險人最適組合分別是擁有固定比例本國股票部位,外國股票部位則與匯率走勢呈負相關,而本國現金部位與外國現金部位呈現相反趨勢。發現匯率增量趨勢與外國現金帳戶、外國指數型股票基金和本國現金部位趨勢相同。
2. 匯率風險將影響保險人持有外國資產意願。若匯率風險波動度由0.1提高至0.3,則外國現金部位之最大值會從6.23下降到0.66。而外國股票持有部位於短期會增加,但隨著投資期限增加而逐漸遞減。同時短期增加之幅度小於外國現金減少之部分。整體而言,持有外國資產比例隨匯率風險波動度變大而遞減。

關鍵字:匯率風險、跨期投資組合、平賭理論、風險波動度、電腦模擬
zh_TW
dc.description.tableofcontents 第一章 研究動機與目的 1
第二章 文獻回顧 6
第一節 最適投資策略 6
第二節 效用函數 7
第三章 模型 8
第一節 投資組合 8
第二節 平賭方法 10
第三節 最適化問題 13
第四章 數值分析 18
第一節 匯率風險的增量為正---a=0.02,b=0.00056 19
第二節 匯率風險的增量為負---a=0.02,b=-0.00056 22
第三節 匯率風險的增量以多項式表達 25
第四節 匯率風險波動度的改變 29
第五章 結論與建議 34
參考文獻 36
附錄A 最適投資成長組合 (Optimal Growth Portfolio) 38
附錄B 最適投資成長組合之動態過程 40
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dc.source.uri (資料來源) http://thesis.lib.nccu.edu.tw/record/#G0096358020en_US
dc.subject (關鍵詞) 匯率風險zh_TW
dc.subject (關鍵詞) 跨期投資組合zh_TW
dc.subject (關鍵詞) 平賭理論zh_TW
dc.subject (關鍵詞) 風險波動度zh_TW
dc.subject (關鍵詞) 電腦模擬zh_TW
dc.subject (關鍵詞) exchange rate risken_US
dc.subject (關鍵詞) intertemporal investmenten_US
dc.subject (關鍵詞) martingaleen_US
dc.subject (關鍵詞) volatilityen_US
dc.subject (關鍵詞) simulationen_US
dc.title (題名) 匯率風險下之最適跨期投資組合zh_TW
dc.type (資料類型) thesisen
dc.relation.reference (參考文獻) Anthony, M. and MacDonald, R., 1998. On the mean reverting properties of target zone exchange rates: some evidence from the ERM. European Economic Review 42, 1492-1523.zh_TW
dc.relation.reference (參考文獻) Brennan, M. J. and Xia, Y. H., 2002. Dynamic asset allocation under inflation. Journal of Finance 57, 1201-1238.zh_TW
dc.relation.reference (參考文獻) Cox, J. C. and Huang, C. F., 1989. Optimum consumption and portfolio policies whenzh_TW
dc.relation.reference (參考文獻) asset price follow a diffusion process. Journal of Economic Theory 49, 33-83.zh_TW
dc.relation.reference (參考文獻) Cox, J. and Huang, C. F., 1991. A variational problem arisen in financial economics.zh_TW
dc.relation.reference (參考文獻) Journal of Mathematical Economics 20, 465-487.zh_TW
dc.relation.reference (參考文獻) Chiou, W. P., 2009. Benefits of international diversification with investment constraints: An over-time perspective. Journal of Multinational Financial Management 19, 93-110.zh_TW
dc.relation.reference (參考文獻) Fletcher, J. and Marshall, A., 2005. An empirical examination of the benefits of international diversification. Journal of International Financial Markets, Institutions & Money 15, 455-468.zh_TW
dc.relation.reference (參考文獻) Grubel, H. G. 1968. Internationally diversified portfolios: Welfare gain and capital flows. The American Economic Review 58, 1299-1314.zh_TW
dc.relation.reference (參考文獻) Hui, C. H., Lo, C. F., Yeung, V. and Fung, L. 2008. Valuing foreign currency options with a mean-reverting process: A study of Hong Kong dollar. International Journal of Finance and Economics 13, 118-134.zh_TW
dc.relation.reference (參考文獻) Lioui, A. and Poncet, P., 2001. On optimal portfolio choice under stochastic interestzh_TW
dc.relation.reference (參考文獻) rates. Journal of Economic Dynamics and Control 25, 1841-1865.zh_TW
dc.relation.reference (參考文獻) Lioui, A. and Poncet, P., 2003. International asset allocation: a new perspective.zh_TW
dc.relation.reference (參考文獻) Journal of Banking and Finance 27, 2203-2230.zh_TW
dc.relation.reference (參考文獻) Merton, R. C., 1971. Optimum consumption and portfolio rules in a continuous-timezh_TW
dc.relation.reference (參考文獻) case. Journal of Economy Theory 3, 373-413.zh_TW
dc.relation.reference (參考文獻) Merton, R. C., 1992. Continuous time finance, Cambridge, Blackwell.zh_TW
dc.relation.reference (參考文獻) Rose, A. K. and Svensson, L., 1994. European exchange rate credibility before the fall. European Economics Review 38, 1185-1216.zh_TW
dc.relation.reference (參考文獻) Sorensen, C., 1999. Dynamic asset allocation and fixed income management. Journal of Financial and Quantitative Analysis 34, 513-531.zh_TW
dc.relation.reference (參考文獻) Ziobrowski, B. J. and Ziobrowski, A. J., 1995. Exchange rate risk and internationally diversified portfolios. Journal of International Money and Finance 14, 65-81.zh_TW