covered.put {FinancialMath}

Covered Put

Description

Gives a table and graphical representation of the payoff and profit of a covered put strategy for a range of future stock prices.

Usage

covered.put(S,K,r,t,sd,price=NA,plot=FALSE)

Arguments

S

spot price at time 0

K

strike price

r

continuously compounded yearly risk free rate

t

time of expiration (in years)

sd

standard deviation of the stock (volatility)

price

specified put price if the Black Scholes pricing is not desired (leave as NA to use the Black Scholes pricing)

plot

tells whether or not to plot the payoff and profit

Details

Stock price at time t =S_t

For S_t<=K: payoff =S-K

For S_t>K: payoff =S-S_t

profit = payoff + price*e^{r*t}

Value

A list of two components.

Payoff

A data frame of different payoffs and profits for given stock prices.

Premium

The price of the put option.

Note

Finds the put price by using the Black Scholes equation by default.

See Also

option.put

covered.call

Examples

covered.put(S=100,K=110,r=.03,t=1,sd=.2,plot=TRUE)