## Abstract This study extends the BGM (A. Brace, D. Gatarek, & M. Musiela, 1997) interest rate model (the London Interbank Offered Rate [LIBOR] market model) by incorporating the stock price dynamics under the martingale measure. As compared with traditional interest rate models, the extended BGM
Pricing models of equity swaps
β Scribed by Ming-Chieh Wang; Szu-Lang Liao
- Publisher
- John Wiley and Sons
- Year
- 2003
- Tongue
- English
- Weight
- 196 KB
- Volume
- 23
- Category
- Article
- ISSN
- 0270-7314
No coin nor oath required. For personal study only.
β¦ Synopsis
Abstract
This article provides a generalized formula for pricing equity swaps with constant notional principal when
the underlying equity markets and settlement currency can be set arbitrarily. To derive swap values using the
riskβneutral valuation method, the swap payment is replicated at each settlement date by constructing a
selfβfinancing portfolio. To obtain the foreign equity index return denominated in the domestic or in a
third currency, equityβlinked foreign exchange options are used to hedge the exchange rate risk. It is
found that if the swap involves international equity markets, then the swap value contains an extra term which
reflects the currency hedging costs. This methodology can easily be applied to price various types of equity
swaps simply by modifying the specifications of the model presented here as required. Β© 2003 Wiley
Periodicals, Inc. Jrl Fut Mark 23:751β772, 2003
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