You plan to buy a Honda car which currently costs $$22,000.$ The car dealer offers the following two options: you can either borrow the entire amount at low interest rate of $1\mathrm{.}99\%$ per year compounded monthly for $36$ months or get a cash rebate of $$1000$ and borrow at $3\mathrm{.}99\%$ per year compounded monthly for $36$ months. Which option is better for you?

Group of answer choices

Cash rebate rate since monthly payment is $$635$

Lower interest rate since monthly payment is $$623$

Cash rebate rate since monthly payment is $$620$

Lower interest rate since monthly payment is $$630$