4. You want to have a monthly income of $2000 from a fixed-term annuity when you retire. Take the term of the annuity to be 20 years and assume an APR of 6% over the period of investment. a. How large will your nest egg have to be at retirement to guarantee the income described above? b. You plan to make regular deposits for 40 years to build up your savings to the level you determined for (a). How large must your monthly deposit be