The Smiths have decided to invest in a college fund for their young son. They invested \\( \\$ 40,000 \\) in a deferred annuity that will pay their son at the beginning of every month for 4 years, while he goes to college. If the account earns \3.00 compounded monthly and the annuity payments are deferred for 13 years, what will be the size of the monthly payments? Round to the nearest cent