A little more than 158 years.
library(FinancialMath)
i <- 0.11/12
p <- 1000
pay <- 12
amort.period(Loan = p,n = NA, pmt = pay,i = i,ic = 1,pf = 1,t = 1)
#> Amortization
#> Loan 1000.000000
#> PMT 12.000000
#> Eff Rate 0.009167
#> Years 158.188204
#> At Time 1: 1.000000
#> Int Paid 9.166667
#> Princ Paid 2.833333
#> Balance 997.166667