A stock price is currently $50 and the risk-free interest rate is 5%. Use the DerivaGem software to translate the following table of European call options on the stock into a table of implied volatilities, assuming no dividends. Are the option prices consistent with the assumptions underlying Black€“Scholes€“Merton?

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Stock Price 54 50 Maturity = 3 months Maturity = 6 months 8.30 5.20 2.90 Maturity = 12 months 10.50 7.50 5.10 7.00 E3 3.50 1.60