English

Misspecified Recovery

Mathematical Finance 2015-10-06 v3 Pricing of Securities

Abstract

Asset prices contain information about the probability distribution of future states and the stochastic discounting of those states as used by investors. To better understand the challenge in distinguishing investors' beliefs from risk-adjusted discounting, we use Perron-Frobenius Theory to isolate a positive martingale component of the stochastic discount factor process. This component recovers a probability measure that absorbs long-term risk adjustments. When the martingale is not degenerate, surmising that this recovered probability captures investors' beliefs distorts inference about risk-return tradeoffs. Stochastic discount factors in many structural models of asset prices have empirically relevant martingale components.

Keywords

Cite

@article{arxiv.1412.0042,
  title  = {Misspecified Recovery},
  author = {Jaroslav Borovička and Lars Peter Hansen and José A. Scheinkman},
  journal= {arXiv preprint arXiv:1412.0042},
  year   = {2015}
}

Comments

51 pages, 2 figures

R2 v1 2026-06-22T07:15:32.275Z