Please answer questions #1-8. Thank you very much.

order to 1. The Dynamic Softwares Company is saving $958 every month in purchase new computers in twelve years. Their savings certificates pay 6% p.a. compounded monthly. How much of the maturity value will be interest? (4 marks) 2. Find the present value of ordinary semi-annual payments of $810 for five years at 5.45% p.a. compounded semi-annually. (2 marks) A trust fund is set up to make payments of $1,320 at the end of each month for seven years. Interest on the fund is 7.28% compounded monthly. (4 marks) 3. (a) How much money must be deposited into the fund today? (b) How much will be paid out of the fund? (c) How much interest is earned by the fund? What is the size of end-of-month monthly deposits which will accumulate to $122,200 after six years if interest is 5.7% compounded monthly? (2 marks) 4. 5. A $5,000 loan requires payments at the end of each quarter for five years. If the interest rate on the loan is 8% pa. compounded quarterly, calculate the size of each payment. (2 marks) 6. The Whytes bought an retail property valued at $125,000 by paying 25% down and mortgaging the balance over 21.5 years through equal payments at the end of each quarter at 8.6% compounded quarterly. What was the size of the quarterly payments? (3 marks) How many semi-annually payments will it take for $500 deposited at the end of each half year to amount to $10,000 at 6% compounded semi-annually? (4 marks) 7. What is the term of a mortgage of $235,000 repaid by monthly payments of $2,475 if interest is 7.55% compounded monthly? State your answer in years (4 marks) 8