Forward Discount Bias, Nalebuff's Envelope Puzzle, and the Siegel Paradox in Foreign Exchange

Aaron S. Edlin, UC Berkeley

A BEJTE Topics article.

Abstract

The bias of forward exchange rates as a predictor of future spot rates is typically explained or decomposed as (1) a risk premium and (2) a convexity term which accounts for the fact that, when there is stochastic inflation, nominal gains from forward currency speculation are higher than real ones and correspondingly losses are smaller. We use Nalebuff’s envelope puzzle to explain a third source of bias which involves real profits from foreign exchange speculation. Both the "real profit" bias and stochastic inflation bias arise from convexity of g(s)=1/s and so derive from Jensen's inequality as observed by Siegel (1972).

Submitted: July 3, 2001 · Accepted: June 16, 2002 · Published: September 4, 2002

Originally published in Topics in Theoretical Economics.

Recommended Citation

Edlin, Aaron S. (2002) "Forward Discount Bias, Nalebuff's Envelope Puzzle, and the Siegel Paradox in Foreign Exchange," Topics in Theoretical Economics: Vol. 2 : Iss. 1, Article 3.
Available at: http://www.bepress.com/bejte/topics/vol2/iss1/art3

 
 
 
 

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