FinancialMath: bull.call.bls – R documentation

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bull.call.bls

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.

Examples

bull.call.bls(S=115,K1=100,K2=145,r=.03,t=1,sd=.2)

FinancialMath

Financial Mathematics for Actuaries

v0.1.1

GPL-2

Authors

Kameron Penn [aut, cre], Jack Schmidt [aut]

Initial release