
Explanation:
The risk-neutral probability (π) is a key concept in binomial option pricing, calculated as:
where:
Substituting the values:
This represents the risk-neutral probability of an increase in the underlying price. The probability of a decrease is therefore:
Thus, the correct answer is B (0.40).
An investor anticipates a 25% movement (up or down) in the underlying asset's price over the next year. Given a risk-free rate of 5%, the risk-neutral probability of a decline in the underlying price is closest to:
A
0.25.
B
0.40.
C
0.60.
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