Question #22
Reading: Reading 30 Pricing and Valuation of Forward Commitments
PDF File: Reading 30 Pricing and Valuation of Forward Commitments.pdf
Page: 10
Status: Unattempted
Correct Answer: B
Part of Context Group: Q22-25
First in Group
Shared Context
Question
Champion and Silvers each gave a reason for why the futures price of the S&P 500 index might be less than the spot price. With respect to their statements, it is most accurate to conclude that:
Answer Choices:
A. neither statement is valid
B. Champion's statement is invalid while Silver's statement is valid
Explanation
The equation for the price of a futures contract on an equity index is FP = S0 × e(R − σ) × T,
where σ is the dividend yield and R is the risk-free rate. If R < σ, then FP < S0 and
Champion is correct. Silvers could be correct in that backwardation is defined as FP < S0,
with the relationship being caused by the risk aversion of hedgers of long asset positions.
Their risk aversion makes them willing to take short contracts at lower prices than
otherwise might be the case.