liq_t0<-function(curva_t2, liq, base){
lc=length(curva_t2$V1)
tenor2=curva_t2$V1
rates2=curva_t2$V2
rates0=rep(0,lc)
tenor0=c(1,tenor2[2:lc]+liq)
r1=rates2[1]
for(i in 2:lc){
r2=rates2[i];t2=tenor2[i]
rates0[i]=(r1*liq+r2*t2+r1*r2*liq*t2/base)/(t2+liq)
}
rates0[1]=r1
return(data.frame(V1=tenor0, V2=c(rates0)))
}
liq_tn<-function(curva_t0, liq, base){
n=length(curva_t0)
r_liq=rep(0,n-liq)
r_liq[1]=curva_t0[1]
r_liq[2:(n-liq)]=((1+curva_t0[(liq+2):n]*c((liq+2):n)/base)/(1+curva_t0[1]*liq/base)-1)*base/(c((liq+2):n)-liq)
return(r_liq)
}
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