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A futures price is currently $25, its volatility (SD) is 30% per annum, and the risk-free...

A futures price is currently $25, its volatility (SD) is 30% per annum, and the risk-free interest rate is 10% per annum. What is the value of a nine-month European call on the futures with a strike price of $26 according to the BSM option pricing model?

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Answer #1

Please refer to below spreadsheet for calculation and answer. Cell reference also provided.

A B C D E $25.00 0.75 30.00% $26 10% TRF Using the Black Scholes formula: (d1) 0.2676 N(D1) 0.6055 (d2) 0.0078 N(d2) 0.5031 V

Cell reference -

2 A X 25 =9/12 0.3 26 0.1 PRE Using the Black Scholes formula: (d1) = =(LN(D2/G2)+(G3+D4^2/2)*D3)/(D4*SQRT(D3)) Nd1) ENORMSDI

Hope it will help, please do comment if you need any further explanation. Your feedback would be highly appreciated.

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