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Federal Housing Administration (FHA) provides graduated payment mortgages for homebuyers who currently have low to moderate incomes but expect them to increase substantially over the

Federal Housing Administration (FHA) provides graduated payment mortgages for homebuyers who currently have low to moderate incomes but expect them to increase substantially over the next 5 to 10 years. One of the plans provided by the FHA is such that the payments increase by 5% annually in the first 5 years of the loan, and stays constant thereafter at the year 5 level till its maturity in year 30. The mortgage is fully amortized (no ballon payment at the end). If the contractual interest rate is 6%, what are the annual payments in years 1-10? What is the outstanding loan balance at the end of the 5th year? Assume that the outstanding loan balance is $250,000 and payments are made at the end of each year.

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