$($Related to Checkpoint $5\mathrm{.}6)($Solving for $\backslash ($ i $\backslash ))$ You are considering investing in a security that will pay you $\backslash (\backslash$$ $2,000\backslash )$ in $35$ years. a$.$ If the appropriate discount rate is $9$ percent, what is the present value of this investment? b$.$ Assume these investments sell for $\backslash (\backslash$$ $740\backslash )$ in return for which you receive $\backslash (\backslash$$ $2,000\backslash )$ in $35$ years. What is the rate of return investors earn on this investment if they buy it for $\backslash (\backslash$$ $740\backslash )?($Related to Checkpoint $5\mathrm{.}6)($Solving for $i)$ You are considering investing in a security that will pay you $$2,000$ in $32$ years.

a$.$ If the appropriate discount rate is $8$ percent, what is the present value of this investment?

b$.$ Assume these investments sell for $$748$ in return for which you receive $$2,000$ in $32$ years. What is the rate of return investors earn on this investment if they buy

a$.$ If the appropriate discount rate is $8$ percent, the present value of this investment is $$.($Round to the nearest cent.$)$