Real Options and American Derivatives: The Double Continuation Region

• 成果类型: Article
• 署名作者: Battauz, Anna; De Donno, Marzia; Sbuelz, Alessandro
• 署名单位: Bocconi University; Bocconi University; University of Parma; Catholic University of the Sacred Heart
• 刊物名称: MANAGEMENT SCIENCE
• ISSN/ISSBN: 0025-1909
• DOI: 10.1287/mnsc.2013.1891
• 发表日期: 2015
• 页码: 1094-1107
• 关键词: AMERICAN OPTIONS; valuation; OPTIMAL EXERCISE; Real options; gold loan; collateralized borrowing; asymptotic approximation of the free boundary; put-call symmetry

摘要

We study the nonstandard optimal exercise policy associated with relevant capital investment options and with the prepayment option of widespread collateralized-borrowing contracts like the gold loan. Option exercise is optimally postponed not only when moneyness is insufficient, but also when it is excessive. We extend the classical optimal exercise properties for American options. Early exercise of an American call with a negative underlying payout rate can occur if the option is moderately in the money. We fully characterize the existence, the monotonicity, the continuity, the limits, and the asymptotic behavior at maturity of the double free boundary that separates the exercise region from the double continuation region. We find that the finite-maturity nonstandard policy conspicuously differs from the infinite-maturity one.