無匯率風險之跨通貨股權交換是新型態的衍生性金融商品,投資人可用此從事跨國投資,而不承擔匯率風險.本文立基於Dravid,Richardson and Sun(1993), Amin and Bodurhta(1995), 及Lin(1997), 首次推導間斷時間,可計算之無匯率風險下跨通貨單向及雙向股權交換之評價模型.在現金流量法之下,股價指數及匯率的隨機過程設定為lognormal process,利率則跟隨HJM模型.文中發現影響無匯率風險之跨通貨股權交換價格的主要變數為股價指數的波動度,外國股價指數與匯率間的相關性,以及兩國利率差距,與匯率的波動度無關.最後,以三個例子說明此新型態金融工具之運作情形. 1. Preliminary....................................................................................................................................................................1 1.1 Background...............................................................................................................................................................1 1.2 Brief Literature Review on the Pricing of Equity Swaps...........................................................................................3 1.3 The Aim of This Study.............................................................................................................................................4 1.4 Chapter Outline and Results......................................................................................................................................5 2.Introduction to Equity Swaps..........................................................................................................................................7 2.1 Basic Equity Swaps...................................................................................................................................................7 2.2 Variants of Baisc Equity Swaps...............................................................................................................................11 2.3 International Investment Environments....................................................................................................................12 2.4 Cross-Currency Equity Swaps.................................................................................................................................14 3. Literature Review...........................................................................................................................................................19 3.1 Marshall,Sorensen, and Tucker(1992)......................................................................................................................19 3.2 Rich(1995)................................................................................................................................................................20 3.3 Jarrow and Turnbull(1996).......................................................................................................................................22 3.4 Lin(1997)..................................................................................................................................................................25 3.5 Chance and Rich(1998).............................................................................................................................................27 4. Valuation of Cross-Currency Two-Way Equity Swaps Without Currency Risks Under Constant Interest Rates.........35 5. Valuation of Cross-Currency Two-Way Equity Swaps Without Currency Risks Under Stochastic Interest Rates.......43 6. Valuation of Cross-Currency One-Way Equity Swaps Without Currency Risks..........................................................55 7. Case Study......................................................................................................................................................................61 7.1 Case One...................................................................................................................................................................61 7.2 Case Two..................................................................................................................................................................63 7.3 Case Three.................................................................................................................................................................64 8. Conclusions...................................................................................................................................................................67 Appendixes........................................................................................................................................................................69 References .........................................................................................................................................................................92 / Based on Dravid,Richardson, and Sun(1993), Amin and Bodurtha(1995), and Lin(1997), this thesis first derives the computable discrete-time pricing formulas for the cross-currency one-way and two-way equity swaps without currency risks, which are exotic financial derivatives used for cross-border investments without the exchange rate exposure. Under the cash flow approach, equity indexes and the exchange rate are modeled by the lognormal processes, and the interest rate processes follow the HJM model. The swap price is shown to depend on the volatilities of equity indexes, the interaction between the foreign equity index and the exchange rate, as well as the interest rate differential of two countries. It does ont depend on the volatility of the exchange rate. Finally, three cases illustrate the usage of these two exotic financial instruments.

跨通貨型的利率衍生性商品提供一個管道，讓投資人能夠投資國外債券或是兩國立利率差而不牽扯任何匯率風險，本文主要利用跨通貨LIBOR市場模型(cross-currency LIBOR market model)及蒙地卡羅模擬法，針對兩種型態的跨國區間浮動利率債券進行評價，一為以國內利率為計息利率而國外利率為指標利率，另一個為以國外利率為計息利率而國內利率為指標利率，分析債券在不同的計息區間下價格之變化，為了協助投資人了解投資利率型連動債所會面臨的報酬與風險，同時針對利率水準以及遠期利率波動度進行敏感度分析，敏感分析的結果顯示遠期利率水準之波動度對債券影響不大，投資人應更加注重利率水準之變化。

雖然跨通貨股酬交換在國際投資市場扮演著重要的角色，但文獻上關於股酬交換評價模式的相關探討並不多，且多集中於國內市場或以本國貨幣做為支付幣別的股酬交換。對於跨通貨股酬交換而言，其評價模式較國內股酬交換之評價模式複雜許多，如何將影響其價值之股價指數、匯率與利率此三個主要因子間的交互相關性同時加入考量，即是此產品之評價過程的重點。 本文在完全市場的假設下，同時放寬傳統評價方法之各變數之相關係數為固定值的假設，提出一新的股酬交換評價方法，即以『兩階段兩步驟』之較具經濟含意的複製方式，推導出股酬交換的一般化評價公式。透過此複製方法，可更清楚得知股酬交換於存續期間的價值變動，更可進一步求得其避險方式，以提供股酬交換交易商在面臨不對稱風險(mismatch risk)時的避險方法。而本文的第二個貢獻在於，將本文所提出之『兩階段兩步驟』的複製方法應用於利率交換的評價上，推導出跨通貨利率交換的一般化評價模式，以進一步比較股酬交換與利率交換此兩種商品的差異性，並試圖釐清市場上對於跨通貨股酬交換評價上的誤解。 與傳統評價公式最大的差異在於：本文評價公式額外考慮了一修正項，複製投資組合可藉由此修正項，對未來各參數間的變動隨時做出調整，以使投資組合能完全複製跨通貨股酬交換的價值。 本文發現，對於國內投資人支付固定利率，以交換B市場的股價指數報酬，且以C國的貨幣做為支付幣別的跨通貨股酬交換而言，其價值除了受到當期利率期間結構的影響外，在期初或每期交換後，其價值與股價指數無直接關聯，但在兩支付間，其價值則會受到當時股價指數與前期股價指數之相對比例的影響。同時，C國對本國的未來匯率並未直接影響跨通貨股酬交換的價值。且若假設各國遠期利率的波動度為零下，則當B國股價指數與C國對本國的匯率呈現正關係或當B國股價指數與B國對本國的匯率呈現負關係時，跨通貨股酬交換的價值愈大。另外，市場上投資人通常誤認股酬交換的價值等於利率交換價值，對於股酬交換與利率交換的比較，本文發現在大多數的情況下，股酬交換的價值與利率交換的價值並不相等。