Thank you for the quick response! I think you are on the right track - but is
there any way of "calling" (is that the word for it) the function price_call
in the mapply, so that this price_call function is changed to handle
vectors. I believe that this should, in theory if it is correct, make the
result be values. 

I have part of a code that works for only one vector. So maybe some where in
the line of: 
callOptionkVec <- function(phi, kVec, t)
{
        sapply(kVec,function(k) {callOption(phi,k,t)})
}
is what I need to do. Do you have any ideas on how to do this?

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