of y, as t → co? 3) Suppose that a family borrows an amount K at time 0 as a home mortgage. Suppose there is a fixed int
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of y, as t → co? 3) Suppose that a family borrows an amount K at time 0 as a home mortgage. Suppose there is a fixed int
of y, as t → co? 3) Suppose that a family borrows an amount K at time 0 as a home mortgage. Suppose there is a fixed interest rate r per period. Suppose also that there are equal repayments of a each period, until the mortgage is paid off after n periods. a) Write down the outstanding balance or principal b, on the loan in period t as a difference equation. Note that the initial value of b, is K (i.e. bo = K). b) Solve the difference equation you wrote down in a). c) Making use of the end value bn = 0 for br, solve for K as a function of a and r.
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