Black Scholes

The inputs to the Black-Scholes model are the current scathe of the underlying cocksure (S), the form or strike price of the alternative (K), the era to expiration of the option in fractions of a year (t), the air division of the underlying asset (cr2), and the continuously-compounded risk-free interest rate (r). In this problem, the inputs are:S = $55 ?2 = 0.0625 K =$50 r = 0.10 t = 1 After identifying the inputs, solve for dl and d2: dl = [In(S/K) + (r + 0.5*?2)(t) ] / (?2t)1/2 = [In(55/50) + {0.10 + ½(0.0625)}(1) ] / (0.0625*1)1/2 = 0.9062 d2 = dl- (?2t) 1/2 = 9062 - (0.0625*1) 1/2 = 0.6562 Find N(dl) and N(d2), the area under the conventionality sheer from negative eternity to dl and negative infinity to d2, respectively. N(dl) = N(0.9062) = 0.8176 N(d2) = N(0.6562) = 0.7442 harmonize to the Black-Scholes formula, the price of a European call option (C) on a non-dividend paying common stock is: C = SN(dl) - Ke-rtN(d2) = (55)(0.8176) - (5 0)e-(.10)(1) (0.7442) = $11.30 The Black-Scholes impairment of the call option is $11.30.

For Part 2 and 3, revel stir to the Excel spreadsheet. The Black Scholes look ons can be computed genuinely handily using EXCEL. For the mathematical formulas, just enjoyment log (x, 2.7182818) for the natural logarithmic matter, use exp(x) for the exponential function and normsdist (x) for the exemplar normal distribution function. It can be slow note that for part 2 the repartee is $8.24, and for part 3 the answer is $24.01. Hence its clear that the intrinsic value rule is wrong and that option with stock price equaling the exercise price can be quite valuable. ***END***If yo u fate to place a full essay, order it on ! our website: OrderEssay.net

If you want to get a full information about our service, visit our page: write my essay