Calculates the Black-Scholes Call.
Formula: (d1=(LN(stock/strike)+((rfRate/100)+(vol/100)^2/2)*ytm)/((vol/100)*SQRT(ytm)))*0 + (d2=d1-(vol/100)*SQRT(ytm))*0 + stock*NORMSDIST(d1)-strike*EXP(-(rfRate/100)*ytm)*NORMSDIST(d2)
stock: The stock price
strike: The strike price.
ytm: The years to maturity.
rfRate - rf%: The risk free rate %.
vol %: The volitility %.
Calculate the call value for the following:
| Value | Keystrokes | Display | Description |
|---|---|---|---|
| 60 | stock | 60.0000 | Stores the stock price. |
| 65 | strike | 65.0000 | Stores the strike price. |
| .25 | ytm | 0.2500 | Stores the years to maturity. |
| 8 | rf % | 8.0000 | Stores the risk free rate %. |
| 30 | vol % | 30.0000 | Stores the volitility %. |
| Call | 2.1334 | Calculates the call value. |
Calculate the years to maturity for a call of 2.
These keystrokes assume the values from example 1.
| Value | Keystrokes | Display | Description |
|---|---|---|---|
| 2 | Call | 2.0000 | Stores the Call value. |
| ytm | 0.2343 | Calculates the years to maturity. |
Also see the Black-Scholes Put Formula Calculator.
Reference:
Espen Gaarder Haug: Black-Scholes Directly in a Excel Sheet