Sequential American Exchange Property Options |
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Authors: | Dean A Paxson |
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Institution: | (1) Manchester Business School, Booth Street West, Manchester, M15 6PB, UK |
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Abstract: | Property development activities often occur in stages, which are appropriately modeled as sequential American exchange property
options, where there are interim expenditures required in order to keep the property development options “alive”. Normally
American exchange options require a numerical solution, but herein there is a new closed-form approximate solution, which
is computationally efficient and accurate. This method combines repeats of Margrabe European exchange and Geske compound option
solutions with tight upper boundaries of either American perpetuities or European exchange options with a high volatility.
Illustrations are provided of the sensitivity of the real sequential options and optimal timing to changes in several parameters,
which provide a framework for property policy (tax, subsidy and regulatory) guidelines and for property development strategy
evaluation. There are several plausible applications of these real option models in commercial and residential property development,
within commercial property leases, with regard to switching tenants, and agricultural alternatives. |
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Keywords: | Real property compound exchange options American sequential investments Tight upper boundaries |
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