Question 1 1. (a) In a series of 40 payments the first 10 payments are N$...

 

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Question 1 1. (a) In a series of 40 payments the first 10 payments are N$ 10 each, the second 10 payments are N$ 20 each, the third ten payments are N$ 30 each, and the final ten payments are N$ 40 each. The payments are equally spaced and the interest rate is 5% per payment period. Find the accumulated value at the time of the final payment. (b) Show that the accumulated value of the series is equal to 10[So]0.05+ S20]005 +S307005 +S270.05] 2. To accumulate N$ 8000 at the end of 3n years, deposits of N$ 98 are made at the end of each of the first n years and N$ 196 at the end of each of the next 2n years. The effective annual rate of interest is i. You are given (1+i)" = 2.0 Determine i. 3. Given that S1010.10 W, find the value of = 10 f=1 S40.10 in terms of W. 4. (a) If Sn=70 and S2n1 = 210, find the values of (1 + i)" i, and S3n1- (b) If San] = X and Sn = Y, express " in terms of X, Y and constants. (c) If S148.99, Sn-21 = 36.34, and i > 0, find i Question 1 1. (a) In a series of 40 payments the first 10 payments are N$ 10 each, the second 10 payments are N$ 20 each, the third ten payments are N$ 30 each, and the final ten payments are N$ 40 each. The payments are equally spaced and the interest rate is 5% per payment period. Find the accumulated value at the time of the final payment. (b) Show that the accumulated value of the series is equal to 10[So]0.05+ S20]005 +S307005 +S270.05] 2. To accumulate N$ 8000 at the end of 3n years, deposits of N$ 98 are made at the end of each of the first n years and N$ 196 at the end of each of the next 2n years. The effective annual rate of interest is i. You are given (1+i)" = 2.0 Determine i. 3. Given that S1010.10 W, find the value of = 10 f=1 S40.10 in terms of W. 4. (a) If Sn=70 and S2n1 = 210, find the values of (1 + i)" i, and S3n1- (b) If San] = X and Sn = Y, express " in terms of X, Y and constants. (c) If S148.99, Sn-21 = 36.34, and i > 0, find i

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