provide the answers rounded to the nearest ten-thousandth

3. You work for a bank and your client wants to purchase an annuity plan that pays a fixed amount of money every year for the next ten years. He plans to pay $250,000 for such a plan.

(3-a) Assuming a flat term structure at a continuously compounded interest rate of 2%, how much does the annuity plan should pay to the client every year for ten years? Note that you need an annually compounded interest rate to use the PV formula for the annuity.

Appendix: (semi-annually compounded) Yield Curve Yield Maturity (years) 0.25 1.78% 0.5 0.75 1 2.10% 2.25% 2.38% 1.25 1.5 1.75 2 2.25 2.5 2.75 3 2.55% 2.71% 2.83% 2.99% 3.09% 3.15% 3.25% 3.30% 3.33% 3.35% 3.38% 3.40% 3.42% ( ) 3.44% ( ) 3.25 3.5 3.75 4 4.25 4.5 4.75 5