boots_proj_opt=function (swap_curveT2, disc_ratesT0, cc_days, base_fix, base_float, base_disc, days_freqT2_fix, days_freqT2_float, liq, freq_fix, freq_float, lb=0, ub=0.2){
k = sum(swap_curveT2[,1] <=cc_days)
param=swap_curveT2[-c(1:k),2]
l = length(param)
lowerBounds = rep(lb, l)
upperBounds = rep(ub, l)
fit = nlminb(start = param, objective = dif_price_boots_proj, gradient = NULL, hessian = NULL,
swap_curveT2, disc_ratesT0, cc_days, base_fix, base_float, base_disc, days_freqT2_fix, days_freqT2_float, liq, freq_fix, freq_float,
lower = lowerBounds, upper = upperBounds)
pos_fix = match(swap_curveT2[-c(1:k),1], days_freqT2_fix)
pos_float = (pos_fix/freq_fix)*freq_float
return(data.frame(V1 = c(swap_curveT2[c(1:k),1],days_freqT2_float[pos_float]), V2 = c(swap_curveT2[c(1:k),2],fit$par)))
}
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