Journal of Financial Economics Vol. 5 No. 2 1977
On the pricing of contingent claims and the Modigliani-Miller theorem
Abstract
A general formula is derived for the price of a security whose value under specified conditions is a known function of the value of another security. Although the formula can be derived using the arbitrage technique of Black and Scholes, the alternative approach of continuous-time portfolio strategies is used instead. This alternative derivation allows the resolution of some controversies surrounding the Black and Scholes methodology. Specifically, it is demonstrated that the derived pricing formula must be continuous with continuous first derivatives, and that there is not a ‘pre-selection bias’ in the choice of independent variables used in the formula. Finally, the alternative derivation provides a direct proof of the Modigliani-Miller theorem even when there is a positive probability of bankruptcy.
- DOI
- 10.1016/0304-405x(77)90020-4
- Volume
- 5
- Issue
- 2
- Pages
- 241-249
- Language
- en
- Sources
- bibtex:phds-export.bib openalex crossref