Sam and Ella have just bought a home

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Sam and Ella have just bought a home. They take out a $250,000 mortgage and have decided that they can afford $1650 a month as the mortgage payment. Here are the interest rates that Sam and Ella have been able to obtain over the years (we will assume this is a USA mortgage, so that interest rates compounded monthly are allowed; that will make the calculations a bit easier for you):

j12 = 6% Locked in for 5 years

j12 = 5.4% Locked in for 3 years

j12 = 4.8% Locked in for 5 years

After exactly 10 years of monthly payments, Sam and Ella realize that mortgage rates have dropped again and they wish to finance their mortgage.

Calculate the outstanding balance after 10 years using the retrospective method.