The Financial Advisor is a weekly column in the local newspaper. Assume you must answer the following question. "I need a new car that I will keep for $4$ years. I have three options. I can $($A$)$ pay $$32,999$ now, $($B$)$ make monthly payments for a $7\%4-$year loan with $0\%$ down, or $($C$)$ make lease payments of $$425$ per month for the next $4$ years. The lease option also requires an up$-$front payment of $$3500.$

What should I do$?"$

Assume that the number of miles driven matches the assumptions for the lease, and the vehicle's value after $4$ years is $$14,500.$ Remember that lease payments are made at the beginning of the month, and the salvage value is received only if you own the vehicle.

$($a$)$ Develop a choice table for nominal interest rates from $0\%$ to $50\%.($You do not know what the reader's interest rate is$.)$

$($b$)$ If i $=8\%,$ which option should be chosen?