Out of curiosity, is it possible to make the function zero allocation? The output excludes compile time.

```
using StatsPlots,Random, BenchmarkTools
# using TimerOutputs
Random.seed!(123)
function createPath(S, r, sigma, T, n,sim)
h = T / n
u = exp((r - sigma^2/2)*h + sigma * sqrt(h))
d = exp((r - sigma^2/2)*h - sigma * sqrt(h))
p_star = (exp(r*h) - d) / (u - d)
path = zeros(n+2) #Array{Float64}(undef,n + 2)
#add in the starting price
path[1] = S
p = plot()
for i in 1:sim
for j in 2:n+2
# if rand() < p_star
#then we go up
path[j] = path[j-1] * (rand() < p_star ? u : d)
# path[2:n+2] = path[1:n+1] .* [x < p_star ? u : d for x in rand(n+1)]'
#lse
# path[k] = path[k-1] * d
# end
end
plot!(p, path,w=1,primary=true,legend=false);
end
plot!(p, title="Stock Price Paths", xlabel="Period", ylabel="Price",size=[1000,500],w=1);
return p
end
@time createPath(100.0, 0.08, 0.3, 1.0, 1000,100)
0.120412 seconds (236.19 k allocations: 14.836 MiB, 11.75% gc time)
```