points each) Answer the questions below. Each question is self-contained and independent from the others. a The stated annual interest rate is 2 percent, couponed weekly (for 52 weeks in a year) What is the equivalent effective annual interest rate (to 6 places past the decimal point) associated with this stated rate? 1+(08/52)) ^62-1= 2.0202 b. The effective monthly rate is 0025 e, a quarter of a percent per month of you have a 30-year mortgage for $500,000 with monthly payments, what are your monthly payments? (1.0025) 36-1= 077783212 500,000 -67783271-30 = 6424004317 c. What is the present value (e, the value at t-0, where t counts years) of the following stream of payments if the effective annual interest rate is 03 0e, 3% per annum: The first payment is $100 is made exactly in one year (at t-33 TE 10 more payments after that first payment, each occurring a year later (le, payments at t-2.1-1,_te 11). Each of these subsequent payments are 5% larger than the previous payment. $100 0.5-0.03) [ 1 14.03 17.06 199.88 1999.97 - 0.09