2) An annuity contract pays S2000 semiannually for 15 years. What is the present value of the annuity six months before the first payment if money can car 6% compounded semiannually for the first six years and 10% compounded semiannually for the next nine years? 3) Ambleside Golf Club's board of directors has set next year's membership fee at S1900 payable at the beginning of the year. The board has instructed its accountant to calculate beginning-of-quarter and beginning-of-month payment plans that provide a 6% semiannually compounded rate of return on the unpaid balance of the annual fee. What will be the amounts of the quarterly and monthly payments 4) What is the present value at the following perpetuity? $200 per year discounted at 6% annually 5) Today, you purchased a house in Toronto. You have $575.000 mortgage. The interest rate is 2.72% compounded semiannually be twice a year), What is your monthly payment if you plan to pay the mortgage over 20 years? What is your balance at the end of five years? How much interest will you pay during the first five years