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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:
Current futures price: EUR 63
Strike price of the option: EUR 68
Time to expiration of the option: 6 months
Time to maturity of the underlying futures contract: 18 months
Continuously compounded annual risk-free interest rate: 3%
N(d₁): 0.4678
N(d₂): 0.3449
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