| bull.call.bls {FinancialMath} | R Documentation |
Bull Call Spread - Black Scholes
Description
Gives a table and graphical representation of the payoff and profit of a bull call spread for a range of future stock prices. Uses the Black Scholes equation for the call prices.
Usage
bull.call.bls(S,K1,K2,r,t,sd,plot=FALSE)Arguments
S |
spot price at time 0 |
K1 |
strike price of the long call |
K2 |
strike price of the short call |
r |
yearly continuously compounded risk free rate |
t |
time of expiration (in years) |
sd |
standard deviation of the stock (volatility) |
plot |
tells whether or not to plot the payoff and profit |
Details
Stock price at time t =S_t
For S_t<=K1: payoff =0
For K1<S_t<K2: payoff =S_t-K1
For S_t>=K2: payoff =K2-K1
profit = payoff+(price_{K2}-price_{K1})*e^{r*t}
Value
A list of two components.
Payoff |
A data frame of different payoffs and profits for given stock prices. |
Premiums |
A matrix of the premiums for the call options and the net cost. |
Note
K1 must be less than S, and K2 must be greater than S.
See Also
Examples
bull.call.bls(S=115,K1=100,K2=145,r=.03,t=1,sd=.2)