What is the present value of a $3-$year annuity of $$1,000$ if the discount rate is $8\%?$ What is the FV of this annuity?

$5$b$.$ What is the present value of the annuity in $($a$)$ if you have to wait $2$ years instead of $1$ year for the payment stream to start?

$6.$ For an APR of $7\%,$ how long will it take for a sum to double $($i$.$e$.,$ FV $=2*$PV$)$ at an annual compounding system? What if quarterly compounding or monthly compounding is applied?