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題名:跨通貨股酬交換及交換選擇權之評價
書刊名:管理評論
作者:王銘杰徐守德 引用關係
作者(外文):Wang, Ming-chiehShy, David
出版日期:2001
卷期:20:1
頁次:頁1-34
主題關鍵詞:跨通貨股酬交換股酬交換選擇權機率測度風險中立評價Cross-currency equity swapEquity swaptionProbability measureRisk-neutral valuation formula
原始連結:連回原系統網址new window
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  • 被引用次數被引用次數:期刊(2) 博士論文(0) 專書(0) 專書論文(0)
  • 排除自我引用排除自我引用:2
  • 共同引用共同引用:1
  • 點閱點閱:26
傳統對股酬交換的風險中立評價與同期間遠期利率交換評價是一致的,故其定價模式類似於利率交換模型,但在跨通貨的股酬交換則未必如此,國外股價和匯率的價格過程,以及國外資產與匯率的相關係數對交換價值有所影響。 本文延伸Chance與Rich(1998)的股酬交換模式,並沿用Amin(1991)、Amin和Bodurtha(1995)、Lin(1997)的間斷時期資產價格設定,利用機率測度轉換的步驟來推導股酬交換的風險中立評價模式,主要觀點在對國外股價指數的無套利報酬預期,除了等於期間國外遠期利率外,必須加上一修正項,以反應期間匯率風險。文中同時對股酬交換的相關衍生產品,如股酬交換選擇權、交換上下限、變動名目本金,以及混合股酬交換的評價模式予以推導。最後由數值模擬可得國外遠期利率波動為決定交換利率的主要因素,而如果匯率與國外股價指數及匯率與遠期利率的波動呈負相關,亦會提高交換利率。
The valuation of equity swap under the condition of risk neutral is similar to the forward interest rate swap with the same period. Therefore, its valuation formula is consistent to interest rate swap model in the traditional methods. But it is not the same as in pricing the cross-currency equity swap. The dymanic prices of foreign stock index and exchange rate, and the correlation coefficients between exchange rates and foreign assets also affect the swap rate. In this paper, we extend Chance and Rich(1998)'s valuation formula of equity swaps, and apply Amin (1991)、Amin and Bodurtha(1995)、Lin(l997)'s dymanic prices of assets in discrete time period. To derive the risk neutral valuation formula of equity swap, it uses the method of transfer probability measure. This study finds the expected return of foreign stock index in the no arbitrage condition, in addition equal to foreign forward interest rate with the same period, must be add a correction term to reflect the exchange rate risk. This paper also derives the pricing formula of equity swaptions、caps、floors、variable notional principal and blended equity swap. Finally, we find the volatility of foreign forward interest rate is the most important factor of pricing the swap rate from numerical simulation. And if the correlation of the volatility of exchange rate and foreign stock index、the correlation of the volatility of exchange rate and foreign forward interest rate are negative, the swap rate will be higher.
期刊論文
1.Harrison, J. Michael、Pliska, Stanley R.(1981)。Martingales and Stochastic Integrals in the Theory of Continuous Trading。Stochastic Processes and Their Applications,11(3),215-260。  new window
2.Amin, K. I.、Jarrow, R. A.(1991)。Pricing Foreign Currency Options under Stochastic Interest rates。Journal of International Money and Finance,10(3),310-329。  new window
3.Harrison, J. M.、Kreps, D. M.(1979)。Martingales and Arbitrage in Multiperiod Securities Markets。Journal of Economic Theory,20(3),381-408。  new window
4.Amin, Kaushik I.、Bodurtha, James N. Jr.(1995)。Discrete-Time Valuation of American Options with Stochastic Interest Rates。The Review of Financial Studies,8(1),193-234。  new window
5.Heath, David C.、Jarrow, Robert A.、Morton, Andrew J.(1992)。Bond Pricing and the Term Structure of Interest Rates: A New Methodology for Contingent Claims Valuation。Econometrica,60(1),77-105。  new window
6.林蒼祥(1997)。股酬交換之定價。中國財務學刊,5(1),43-72。  延伸查詢new window
7.Amin, K. I.(1991)。On the Computation of Continuous Time Option Prices Using Discrete Approximations。Journal of Financial and Quantitative Analysis,26(4),477-495。  new window
8.Chance, D. M.、Rich, D.(1998)。The Pricing of Equity Swaps and Swaptions。The Journal of Derivatives,5,19-31。  new window
9.廖四郎(1998)。從Black-Scholes模型分析論數理財務模型之發展。亞太經濟管理評論,2(1),97-123。new window  延伸查詢new window
10.Chew, L.(1991)。Sex, Swaps and Arbitrage。Risk,4。  new window
11.張森林(1999)。股酬交換之定價:評論。中國財務學刊,6(3),63-68。new window  延伸查詢new window
12.Dravid, A.、Richardson, M.、Sun, T. S.(1993)。Pricing foreign index contingent claims: A application to Nikkei index warrants。The Journal of Derivatives,1(1),33-51。  new window
13.Marshall, J. E.、Tuncker, A.、Sorensen, E.(1992)。Equity Derivatives: The Plain Vanilla Equity Swap and its Variants。Journal of Financial Engineering,1,219-241。  new window
14.Rich, D.(1995)。Note on the valuation and hedging of equity swaps。Journal of Financial Engineering,1,323-334。  new window
15.Schröder, M.(1999)。Changes of Numeraire for Pricing Futures, Forwards and Options。Review of Financial Studies,12(5),1143-1163。  new window
16.Wei, J. Z.(1994)。Valuing Differential Swaps。The Journal of Derivatives,1(3),64-76。  new window
學位論文
1.江怡蒨(1999)。無匯率風險下跨通貨股權交換之評價,0。new window  延伸查詢new window
圖書
1.Musiela, M.、Rutkowski, M.(1997)。Martingale Methods in Financial Modelling。Martingale Methods in Financial Modelling。Berlin, Germany/ Heidelberg, Germany/ New York, NY:Springer。  new window
2.Elliott, R. J.、Kopp, P. E.(1999)。Mathematics of Financial Markets。Springer。  new window
3.Jarrow, R. A.、Turnbull, S. M.(1996)。Derivative Securities。South-Western Publishing。  new window
4.Dattatreya, E. D.、Hotta, K.(1994)。Advance interest rate and currency swaps。Advance interest rate and currency swaps。沒有紀錄。  new window
5.Derosa, David F.(1998)。Currency Derivatives。Currency Derivatives。沒有紀錄。  new window
6.Dothan, M. U.(1992)。Prices in Financial Markets。Prices in Financial Markets。沒有紀錄。  new window
7.Marshall, J.、Yuyuwnyonwatana, R.(2000)。Equity swaps: Structures, Uses, and Pricing, Handbook of Equity Derivatives。Equity swaps: Structures, Uses, and Pricing, Handbook of Equity Derivatives。沒有紀錄。  new window
 
 
 
 
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