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To: GVTucker who wrote (95353)1/7/2000 12:13:00 PM
From: Robert Douglas  Read Replies (1) | Respond to of 186894
 
The fair value of the futures over the cash for the S&P 500 is the risk premium of the market. There's a mathematical proof of this; I'll spare you.

Given that the risk premium is a subjective number, fair value is also a very subjective number. In fact, I argue that it is better to derive the market's current guess of the risk premium by using the futures as a guide, rather than the other way around.


I don't know what you mean by fair value being subjective. I thought that the premium that the S&P futures had over the cash was strictly mathematical dealing with the relative return of the two. Since the dividend yield on the S&P 500 is below the risk-free rate of return, then the distant contracts sell at a premium. If the two get far enough out of line there is an arbitrage potential that is exploited and the relationship is restored. As an example of a futures contract where the payment is larger than the risk-free return you can look at the T-Bond contract. This future has distant contracts that sell at a discount to the nearby ones. Once again it is strictly a mathematical relationship with the relative return and the time until expiration of the contract.