Reginald is about to lease an apartment for $12$ months. The landlord wants him to make the lease payments at the start of the month. The morthly payments are $$1,000$ per month. The landlord says he will allow Reg to prepay the rent for the entire lease with a discount. The one$-$time payment due at the beginning of the lease is $$11,677.$ What is the implied monthly discount rate for the rent? If Reginald is earning $0\mathrm{.}3\%$ on his savings monthly, should he pay by month or make the one$-$time payment?