1 a) The present value of an annuity lasting 72 interest periods

and paying $ 2,000 at the beginning of each k interest periods is

$ 9,538.60. Given that the effective interest rate per interest period

is 3.6575%, find k.

1 b) Find an expression in terms of i⁽⁴⁾ for the accumulated value at the

end of the twenty-one years of an annuity that pays $ 400 at the

beginning of each four-month period for 21 years. Your

expression should NOT be a sum of terms. Your answer should be a

nice formula.

1 c) Jason purchases a deferred perpetuity for $ 27,040. The

perpetuity has quarterly payments of $ 1,500. Express the waiting

time until the first payment as a function of the annual effective

interest rate i.