$(10$ points$)$ On the day he retires, Bertrand receives an annuity from his employer that will pay him $$1000$ today and $$1020$ a year from now. Suppose the annuity company tells Bertrand he has the option today of converting his annuity to one $$1995$ lump sum, payable to him today. Should Bertrand convert his annuity to the lump sum payment? Assume an interest rate of $\mathrm{.}02(2$ percent$).$ Show your work. $($No credit without a complete explanation. Remember, no calculators.$)$