Fred currently earns $$10,300$ per month. Fred has been offered the chance to transfer for three to five years to an overseas affiliate. His employer is willing to pay Fred $$13,300$ per month if he accepts the assignment. Assume that the maximum foreign$-$earned income exclusion for next year is $$126,500.$ If Fred's employer also provides him free housing abroad $($cost of $$20,650$ next year$),$ how much of the $$20,650$ is excludable from Fred's income? Assume that Fred will be abroad for $305$ days out of $365$ days next year.