# Business

(a) An amount of $100 is deposited into an account at the end of the 1st year, after which payments of $200, $400, $600,... are deposited at the end of every 2 years, that is, there will be a payment of $200 at time 3, a payment of $400 at time 5, and so on. The last payment will be made at the end of the 15th year. Determine the present value if the annual effective rate of interest is 2%. Round your answer to the nearest cent. [7] (b) An annuity-due consists of a first payment of $100, with subsequent payments increased by 7% over the previous one until the 10th payment, after which subsequent payments are level at the amount of the 10th payment. If the effective rate of interest is 7% per payment period, determine the present value of this annuity-due with 20 payments. Round your answer to the nearest cent