This book is aimed at researchers and PhD students in mathematical
finance. It studies the pricing and hedging of options in �nancial
markets with proportional transaction costs on trading in shares,
modeled as bid-ask spreads, and different interest rates for
borrowing and lending of cash. This is done by means of fair
pricing and super-hedging. The fair price of an option is any
market price for it that does not allow traders to make profit with
no risk, and a super-hedging strategy allows the seller and buyer
to remain in a solvent position after respectively delivering and
receiving the option payoff. Efficient algorithms are presented for
computing the bid and ask prices of European and American options;
these prices serve as bounds on the fair prices. This unifies all
existing algorithms for the calculation of such prices. As a
by-product, a straightforward iterative method is found for
determining the optimal super-hedging strategies (and stopping
times) for both the buyer and seller of an option, and also optimal
stopping strategies in the case of American options.
General
Imprint: |
VDM Verlag Dr. Mueller E.K.
|
Country of origin: |
Germany |
Release date: |
October 2008 |
First published: |
October 2008 |
Authors: |
Alet Roux
|
Dimensions: |
229 x 152 x 8mm (L x W x T) |
Format: |
Paperback - Trade
|
Pages: |
156 |
ISBN-13: |
978-3-8364-9239-3 |
Categories: |
Books >
Science & Mathematics >
Mathematics >
General
|
LSN: |
3-8364-9239-3 |
Barcode: |
9783836492393 |
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