Growth optimal investment and pricing of derivatives
2000 (English)In: Physica A: Statistical Mechanics and its Applications, ISSN 0378-4371, E-ISSN 1873-2119, Vol. 280, no 04-mar, 505-521 p.Article in journal (Refereed) Published
We introduce a criterion how to price derivatives in incomplete markets, based on the theory of growth optimal strategy in repeated multiplicative games. We present reasons why these growth-optimal strategies should be particularly relevant to the problem of pricing derivatives. tinder the assumptions of no trading costs, and no restrictions on lending, we find an appropriate equivalent martingale measure that prices the underlying and the derivative security. We compare our result with other alternative pricing procedures in the literature, and discuss the limits of validity of the lognormal approximation. We also generalize the pricing method to a market with correlated stocks. The expected estimation error of the optimal investment fraction is derived in a closed form, and its validity is checked with a small-scale empirical test.
Place, publisher, year, edition, pages
2000. Vol. 280, no 04-mar, 505-521 p.
IdentifiersURN: urn:nbn:se:kth:diva-19767ISI: 000087096300022OAI: oai:DiVA.org:kth-19767DiVA: diva2:338459
QC 201005252010-08-102010-08-10Bibliographically approved