Q4. Suppose the repayment loan from a bank is described or modelled as a discrete time...
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Q4. Suppose the repayment loan from a bank is described or modelled as a discrete time system as y[n] = (1+R/12)y[n-1] - x[n], where the output y[n] is the balance payment of the loan, input x[n] is the amount of loan payment in the n-th month, R is the annual interest rate, and n is the monthly time index. The initial condition y[0] is the amount of loan that was contracted. Assume that x[n] = C, which is equal amount of monthly payment. (a) Find how much you will have outstanding after the first three months. Assume a loan amount of GHc6,000 was contracted at a monthly payment of GHc200 and interest rate of 12%. (b) Find how long it will take to pay the loan. Write a Matlab script to implement this. Q4. Suppose the repayment loan from a bank is described or modelled as a discrete time system as y[n] = (1+R/12)y[n-1] - x[n], where the output y[n] is the balance payment of the loan, input x[n] is the amount of loan payment in the n-th month, R is the annual interest rate, and n is the monthly time index. The initial condition y[0] is the amount of loan that was contracted. Assume that x[n] = C, which is equal amount of monthly payment. (a) Find how much you will have outstanding after the first three months. Assume a loan amount of GHc6,000 was contracted at a monthly payment of GHc200 and interest rate of 12%. (b) Find how long it will take to pay the loan. Write a Matlab script to implement this.
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a y3 11212y2 200 11y2 200 2y2 200 y2 11212y1 200 11y1 200 2y1 200 y1 11212y0 200 11y0 200 2y0 200 y0 ... View the full answer
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