examII_s97

examII_s97 - EE 429 EXAM II 23 April 1997 Name: ID#: DO NOT...

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EE 429 EXAM II 23 April 1997 Name: ID#: DO NOT TURN THIS PAGE UNTIL YOU ARE TOLD TO DO SO Problem Weight Score 1 25 2 25 3 25 4 25 Total 100 This test consists of four problems. Answer each problem on the exam itself; if you use additional paper, repeat the identifying information above, and staple it to the rest of your exam when you hand it in. The quality of your analysis and evaluation is as important as your answers. Your reasoning must be precise and clear; your complete English sentences should convey what you are doing. For your convenience, page 13 contains some useful information. 1
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Problem 1: (25 points) The repayment of a bank loan can be modeled as a discrete-time system y ( k +1)= ± 1+ I 12 ² y ( k ) - x ( k +1) where k =0 , 1 , 2 ,... is equal to the month of the repayment period, y (0) is the amount of the loan, y ( k ) is the loan balance at the end of the k th month, x ( k ) is the loan payment in the k th month, and I is the interest rate in decimal form (i.e. for 12%, I = 0.12). Assume that the monthly payments x ( k ) for k 1 are equal to a constant c . Suppose that the number of months in the repayment period is N . Derive an expression for the monthly payments c
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examII_s97 - EE 429 EXAM II 23 April 1997 Name: ID#: DO NOT...

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