Instead of giving nls() start=0.01, give it a named vector of
parameters, start=c(theta=0.01).
Bill Dunlap
TIBCO Software
wdunlap tibco.com


On Mon, Nov 16, 2015 at 6:19 AM, roberto marrone
<robertomarr...@hotmail.it> wrote:
> Dear all,
>
> I have a problem using the R finction nls. I am trying to perform an 
> optimisation of the volatility parameter in the Black and Scholes formula. In 
> the function nls I wrote as a formula the  call option price with the only 
> unknown parameter the volatility that I called theta.  The code is the 
> following and I have recevied some errors, one is that below. In my code I 
> use as data a dataset of simuleted option price of length 99, and the same I 
> did for subset.  I would like to have a code that compare my model with the 
> volatility as an unknown parameter with a set of gien option data. Thanks in 
> advance.
>
>
>
> optim<- nls(call ~ 
> S*pnorm((log(15/14)+(0.015+theta^2/2)*0.17)/(theta*sqrt(0.17))) - 
> 14*exp(-0.015*0-17)*pnorm((log(15/14)+(0.015+theta^2/2)*0.17)/(theta*sqrt(0.17))
>  - theta * sqrt(0.17)), data=data, start= 0.01, control= nls.control(maxiter 
> = 50, tol = 1e-05, minFactor = 1/1024,                        printEval = 
> FALSE, warnOnly = FALSE),  subset= "data1")
>
>
> Error in nls(call ~ S * pnorm((log(15/14) + (0.015 + theta^2/2) * 
> 0.17)/(theta *  :
>   parameters without starting value in 'data': theta
>
>
>         [[alternative HTML version deleted]]
>
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