An annuity consists of level payments of $5,000 at the end of each year for twenty years. If the prevailing interest rate is a nominal rate of annual interest of 8% per year compounded monthly, how much must be deposited in five years as a single payment in order that the accumulated value of the annuity and that of the single deposit are equal at the end of thirty years? That is: accumulated value of annuity = accumulated value of the single payment when measured at thirty years