18 4 n 1 Forwards 2 Futures 3
- Slides: 50
18 - 4 衍生性金融商品類別 n 衍生性金融商品主要可以分成下列幾類: 1. 遠期合約(Forwards) 2. 期貨(Futures) 3. 選擇權(Option) 4. 交換(Swap) Copyright © 2001 by Harcourt, Inc. All rights reserved.
18 - 20 選擇權權利金的內涵 n 選擇權權利金其實包括兩部份: 1. 實質價值(Intrinsic value), 2. 時間貼水(Time premium). Copyright © 2001 by Harcourt, Inc. All rights reserved.
18 - 26 Black & Scholes的 選擇權買權(Call option)定價公式 C = S[N(d 1)] – Xe -k t[N(d 2)]. RF ln(S/X) + [k. RF + (s 2/2)]t d 1 =. s t d 2 = d 1 – s t. Copyright © 2001 by Harcourt, Inc. All rights reserved.
18 - 29 試根據下列資料計算買權價值? * Assume: S = $27; X = $25; k. RF = 6%; t = 0. 5 years: s 2 = 0. 11 C = $27[N(d 1)] – $25 e-(0. 06)(0. 5)[N(d 2)]. ln($27/$25) + [(0. 06 + 0. 11/2)](0. 5) d 1 = (0. 3317)(0. 7071) = 0. 5736. d 2 = d 1 – (0. 3317)(0. 7071) = d 1 – 0. 2345 = 0. 5736 – 0. 2345 = 0. 3391. Copyright © 2001 by Harcourt, Inc. All rights reserved.
18 - 30 *可以查常態分配的累積機率對照表: N(d 1) = N(0. 5736) = 0. 5000 + 0. 2168 = 0. 7168. N(d 2) = N(0. 3391) = 0. 5000 + 0. 1327 = 0. 6327. C = $27(0. 7168) – $25 e-0. 03(0. 6327) = $19. 3536 – $25(0. 97045)(0. 6327) = $4. 0036. *本例參考Brigham and Houston(2001), Financial management. Copyright © 2001 by Harcourt, Inc. All rights reserved.
18 - 36 交換合約的種類 n 交換(Swap)的主要種類包括: a. 利率交換(Interest rate Swaps). b. 貨幣交換與匯率交換. (Currency Swaps and Exchange Rate Swaps) c. 商品交換(Commodity Swaps). d. 股價交換(Equity Swaps). Copyright © 2001 by Harcourt, Inc. All rights reserved.
18 - 40 A公司 B公司 付出 4. 25%+ 5. 75%+ 收入 LIBOR+1% 5. 75% LIBOR+1% 淨支付 LIBOR-0. 5% 5. 75% 如果未交換, LIBOR 6% 成本為: 成本可以省: 0. 5% 0. 25% Copyright © 2001 by Harcourt, Inc. All rights reserved.
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