Fixed rate annuity revisited
Suppose annually compounded zero rates for all maturities are a constant r, so Z(0, j) = for j = 1, 2, ....
(a) What is the value today of a fixed annuity that pays 1 each year from T1 = 1 to Tn = n?
(b) Find the value of the infinite fixed annuity as n → ∞.