Nara inherits a perpetuity from her grandfather that will pay here $3000 today and every year forever. The annual interest rate is 4%.

a) How much is Nara's inheritance worth? Nara decides to sell the perpetuity (for its present value) and instead buy an annuity due paying $P for the next 28 years.

b) What is $P? She changes her mind again, and decides instead on an annuity due paying $6000 per year for n years, except for the last (nth) payment which is a drop payment

. c) What is n?

d) What is the amount of the final payment?