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References
- Ano, K.: Multiple Stopping Problem for Jump Diffusion and Free-Boundary Problem (Financial Modeling and Analysis). phRIMS Kokyuroku 1675, (2010), 42--48.
- Barndorff-Nielsen, O. E.: Exponentially decreasing distributions for the logarithm of particle size. phProceedings of the Royal Society. London. Ser. A. V. 353, (1977), 401--419.
- Barndorff-Nielsen, Ole E. Processes of normal inverse Gaussian type. Finance Stoch. 2 (1998), no. 1, 41--68. MR1804664
- Beibel, M.; Lerche, H. R. A new look at optimal stopping problems related to mathematical finance. Empirical Bayes, sequential analysis and related topics in statistics and probability (New Brunswick, NJ, 1995). Statist. Sinica 7 (1997), no. 1, 93--108. MR1441146
- Carr, P., Lee, R., Wu, L.: Variance swaps on time-changed lev processes. Accepted in phFinance Stoch., (2011), 21 p.
- Dai, Min; Jin, Hanqing; Zhong, Yifei; Zhou, Xun Yu. Buy low and sell high. Contemporary quantitative finance, 317--333, Springer, Berlin, 2010. MR2732852
- Elie, R., Espinosa, G. E.: Optimal stopping of a mean reverting diffusion: minimizing the relative distance to the maximum. (2011), preprint.
- Espinosa, G. E., Touzi, N.: Detecting the maximum of a mean reverting scalar diffusion. (2010), preprint.
- Dai, M., Zhong, Y.: Optimal Stock Selling/Buying with reference to the Ultimate Average. To appear in phMathem. Finance, (2009).
- du Toit, Jacques; Peskir, Goran. Selling a stock at the ultimate maximum. Ann. Appl. Probab. 19 (2009), no. 3, 983--1014. MR2537196
- Eberlein, E., Keller, U.: Hyperbolic Distribution in Finance. phBernoulli, 1(3), (1995), 281--299.
- Graversen, S. E.; Peskir, G.; Shiryaev, A. N. Stopping Brownian motion without anticipation as close as possible to its ultimate maximum. Teor. Veroyatnost. i Primenen. 45 (2000), no. 1, 125--136; translation in Theory Probab. Appl. 45 (2001), no. 1, 41--50 MR1810977
- Novikov, A., Shiryaev, A.N.: On a stochastic version of the trading rule ''Buy and Hold''. phStatistics and Desicions 26(4), (2009), 289--302.
- Hirsa, A., Madan, D.: Pricing American Options Under Variance Gamma. phJournal of Computational Finance 7(2), (2003), 63--80.
- Ivanov, Roman V. On the pricing of American options in exponential Lévy markets. J. Appl. Probab. 44 (2007), no. 2, 409--419. MR2340207
- Ivanov, R.V.: On selling a stock at the ultimate maximum for the exponential of the normal-inverse Gaussian process. (2011), submitted in phStochastics.
- Madan, D., Seneta, E.: The Variance Gamma (V.G.) Model for Share Market Returns. phJournal of Business 63, (1990), 511--524.
- Madan, D., Milne, F.: Option pricing with VG martingale components. phMathem. Finance 1(4), (1991), 39--55.
- Madan, D., Carr, P., Chang, E.: The Variance Gamma Process and Option Pricing. phEuropean Finance Review 2, (1998), 79--105.
- Mandelbrot, B., Taylor, H.: On the distribution of stock price difference. phOperations Research 15(6), (1967), 1057--1062.
- Pedersen, Jesper Lund. Optimal prediction of the ultimate maximum of Brownian motion. Stoch. Stoch. Rep. 75 (2003), no. 4, 205--219. MR1994906
- Peskir, Goran; Shiryaev, Albert. Optimal stopping and free-boundary problems. Lectures in Mathematics ETH Zürich. Birkhäuser Verlag, Basel, 2006. xxii+500 pp. ISBN: 978-3-7643-2419-3; 3-7643-2419-8 MR2256030
- Shiryaev, Albert N. Essentials of stochastic finance. Facts, models, theory. Translated from the Russian manuscript by N. Kruzhilin. Advanced Series on Statistical Science & Applied Probability, 3. World Scientific Publishing Co., Inc., River Edge, NJ, 1999. xvi+834 pp. ISBN: 981-02-3605-0 MR1695318
- Shiryaev, Albert; Xu, Zuoquan; Zhou, Xun Yu. Thou shalt buy and hold. Quant. Finance 8 (2008), no. 8, 765--776. MR2488734
- Seneta, Eugene. The early years of the variance-gamma process. Advances in mathematical finance, 3--19, Appl. Numer. Harmon. Anal., Birkhäuser Boston, Boston, MA, 2007. MR2359359
- Yip, Wing Yan; Stephens, David; Olhede, Sofia. Hedging strategies and minimal variance portfolios for European and exotic options in a Lévy market. Math. Finance 20 (2010), no. 4, 617--646. MR2731410

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