Q$8)$ Assume that you are considering the purchase of an insurance policy which requires

you to put $$250$ at the end of each quarter for the next $10$ years after which they will pay

you $$1500$ each year forever starting in year $11.$

a$)$ Is this an acceptable deal if the appropriate interest rate is a quarterly compounded

rate of $2\mathrm{.}98\%?$

b$)$ Is this an acceptable deal if the appropriate interest rate is a quarterly compounded

rate of $2\mathrm{.}98\%$ for the first $10$ years and $2\mathrm{.}50\%$ thereafter?