
Explanation:
B is correct.
The option on futures using the BSM model is expressed as follows:
c = F₀e⁻ʳᵀN(d₁) − Ke⁻ʳᵀN(d₂)
where:
Calculation:
Note: The time to maturity of the underlying futures contract (18 months) is not used in the BSM formula for pricing options on futures. Only the time to expiration of the option (T = 0.5 years) is used.
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Q-88. A derivatives dealer actively trades options on various underlying assets with its clients. The firm wants to apply the Black-Scholes-Merton (BSM) model to price a call option on a futures contract. Relevant data is provided below:
Which of the following is closest to the value of this option estimated using the BSM model?
A
EUR 5.75
B
EUR 5.93
C
EUR 6.36
D
EUR 6.81
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