Real Options and American Derivatives: The Double Continuation Region

References

• Aase K (2010) The perpetual American put option for jump-diffusions. Bjørndal E, Bjørndal M, Pardalos PM, Rönnqvist M, eds. Energy, Natural Resources and Environmental Economics, Energy Systems Part 4 (Springer-Verlag, Berlin), 493–507.Crossref, Google Scholar
• Alili A, Kyprianou A (2005) Some remarks on first passage of Lévy processes, the American put and pasting principles. Ann. Appl. Probab. 15(3):2062–2080.Crossref, Google Scholar
• Barles G, Burdeau J, Romano M, Samsoen N (1995) Critical stock price near expiration. Math. Finance 5(2):77–95.Crossref, Google Scholar
• Battauz A (2002) Change of numéraire and American options. Stochastic Anal. Appl. 20(4):709–730.Crossref, Google Scholar
• Battauz A, De Donno M, Sbuelz A (2012) Real options with a double continuation region. Quant. Finance 12(3):465–475.Crossref, Google Scholar
• Battauz A, De Donno M, Sbuelz A (2013) Real Options and American Derivatives: The Double Continuation Region. Working Paper 499, Innocenzo Gasparini Institute for Economic Research, Bocconi University, Milan, Italy.Google Scholar
• Bensoussan A, Lions JL (1982) Applications of Variational Inequalities in Stochastic Control (North Holland, Amsterdam).Google Scholar
• Boyarchenko S, Levendorskiĭ S (2002a) Non-Gaussian Merton-Black-Scholes Theory (World Scientific, Singapore).Crossref, Google Scholar
• Boyarchenko S, Levendorskiĭ S (2002b) Perpetual American options under Lévy processes. SIAM J. Control Optim. 40(6):1663–1696.Crossref, Google Scholar
• Broadie M, Detemple JB (1996) American option valuation: New bounds, approximations, and a comparison of existing methods. Rev. Financial Stud. 9(4):1211–1250.Crossref, Google Scholar
• Broadie M, Detemple JB (1997) The valuation of American options on multiple assets. Math. Finance 7(3):241–285.Crossref, Google Scholar
• Broadie M, Detemple JB (2004) Option pricing: Valuation models and applications. Management Sci. 50(9):1145–1177.Link, Google Scholar
• Carr P (1995) The valuation of American exchange options with application to real options. Trigeorgis L, ed. Real Options in Capital Investment: Models, Strategies and Applications (Praeger, Westport, CT), 109–120.Google Scholar
• Carr P, Chesney M (1996) American put call symmetry. Working paper, New York University, New York. http://www.math.nyu.edu/research/carrp/papers/pdf/apcs2.pdf.Google Scholar
• Chiarella C, Ziogas A (2005) Evaluation of American strangles. J. Econom. Dynam. Control 29(1–2):31–62.Crossref, Google Scholar
• Churiwal A, Shreni A (2012) Surveying the Indian gold loan market. Cognizant 20–20 Insights, January. Cognizant, Teaneck, NJ.Google Scholar
• Cui C, Hoyle R (2011) J.P. Morgan will accept gold as type of collateral. Wall Street Journal (February 8), http://online.wsj.com/news/articles/SB10001424052748704422204576130192457252596.Google Scholar
• Dai M, Xu ZQ (2011) Optimal redeeming strategy of stock loans with finite maturity. Math. Finance 21(4):775–793.Google Scholar
• Detemple JB (2001) American options: Symmetry properties. Jouini E, Cvitanić J, Musiela M, eds. Option Pricing, Interest Rates and Risk Management, Handbooks in Mathematical Finance (Cambridge University Press, Cambridge, UK), 67–104.Crossref, Google Scholar
• Detemple JB (2006) American-Style Derivatives: Valuation and Computation (Chapman & Hall/CRC, Boca Raton, FL).Crossref, Google Scholar
• Detemple JB, Emmerling T (2009) American chooser options. J. Econom. Dynam. Control 33(1):128–153.Crossref, Google Scholar
• Detemple JB, Tian W (2002) The valuation of American options for a class of diffusion processes. Management Sci. 48(7):917–937.Link, Google Scholar
• Dixit AK, Pindyck RS (1993) Investment Under Uncertainty (Princeton University Press, Princeton, NJ).Google Scholar
• Ekström E, Wanntorp H (2008) Margin call stock loans. Working paper, Uppsala University, Uppsala, Sweden. http://www2.math.uu.se/~ekstrom/publikation.html.Google Scholar
• Evans JD, Kuske R, Keller JB (2002) American options on assets with dividends near expiry. Math. Finance 12(3):219–237.Crossref, Google Scholar
• Feng L, Kovalov P, Linetsky V, Marcozzi M (2007) Variational methods in derivatives pricing. Birge JR, Linetsky V, eds. Handbook of Financial Engineering, Handbooks in Operations Research and Management Sciences (Elsevier, Amsterdam), 301–342.Crossref, Google Scholar
• Geman H, El Karoui N, Rochet JC (1995) Changes of numeraire, changes of probability measure and option pricing. J. Appl. Probab. 32(2):443–458.Crossref, Google Scholar
• Hull JC (2011) Options, Futures and Other Derivatives, 8th ed. (Prentice Hall, Upper Saddle River, NJ).Google Scholar
• Ingersoll JE (1998) Approximating American options and other financial contracts using barrier derivatives. J. Comput. Finance 2(1):85–112.Crossref, Google Scholar
• Jaillet P, Lamberton D, Lapeyre B (1990) Variational inequalities and the pricing of American options. Acta Applicandae Mathematicae 21(3):263–289.Crossref, Google Scholar
• Jiang ZJ, Pistorius MR (2008) On perpetual American put valuation and first-passage in a regime-switching model with jumps. Finance Stochastics 12(3):331–355.Crossref, Google Scholar
• Karatzas I, Shreve SE (1998) Methods of Mathematical Finance (Springer-Verlag, New York).Crossref, Google Scholar
• Kovalov P, Linetsky V, Marcozzi M (2007) Pricing multi-asset American options: A finite element method-of-lines with smooth penalty. J. Sci. Comput. 33(3):209–237.Crossref, Google Scholar
• Lamberton D, Mikou M (2008) The critical price for the American put in an exponential Lévy model. Finance Stochastics 12(4):561–581.Crossref, Google Scholar
• Lamberton D, Villeneuve S (2003) Critical price near maturity for an American option on dividend-paying stock. Ann. Appl. Probab. 13(2):800–815.Crossref, Google Scholar
• Levendorskiĭ S (2004) Pricing of the American put under Lévy processes. Internat. J. Theoret. Appl. Finance 7(3):303–336.Crossref, Google Scholar
• Levendorskiĭ S (2008) American and European options in multi-factor jump-diffusion models, near expiry. Finance Stochastics 12(4):541–560.Crossref, Google Scholar
• Liang Z, Wu W (2012) Variational inequalities in stock loan models. Optim. Engrg. 13(3):459–470.Crossref, Google Scholar
• Liu G, Xu Y (2010) Capped stock loans. Comput. Math. Appl. 59(11):3548–3558.Crossref, Google Scholar
• McDonald R, Siegel D (1986) The value of waiting to invest. Quart. J. Econom. 101(4):707–728.Crossref, Google Scholar
• Medvedev A, Scaillet O (2010) Pricing American options under stochastic volatility and stochastic interest rates. J. Financial Econom. 98(1):145–159.Crossref, Google Scholar
• Merton RC (1973) Theory of national option pricing. Bell J. Econom. Management Sci. 4(1):141–183.Crossref, Google Scholar
• Mukerji C (2012) Protect your riches. Money Today (August 2012), http://businesstoday.intoday.in/story/jewellery-safeguard-insurance-policy-or-bank-locker/1/186471.html.Google Scholar
• Schroder M (1999) Changes of numeraire for pricing futures, forwards, and options. Rev. Financial Stud. 12(5):1143–1163.Crossref, Google Scholar
• Xia J, Zhou XY (2007) Stock loans. Math. Finance 17(2):307–317.Crossref, Google Scholar
• Zhang Q, Zhou XY (2009) Valuation of stock loans with regime switching. SIAM J. Control Optim. 48(3):1229–1250.Crossref, Google Scholar