You are worried that your retirement income will not be enough. You plan to retire in $35$ years and, at that time, you want to start receiving $$10,000$ per year for $20$ years in addition to your pension and Social Security. What amount will you need at t$35$ to produce the

$$10,000$ per year annuity? What is the PV of that figure at t$0?$ Use a $7\%$ discount rate.