No excel, please write out all steps and formulas.

Answer: 5.0285%

(5) Bob and Barbara are friends. Bob takes out a $10,000 loan and agrees to repay it over twelve years by making annual level payments at an effective rate of 5.62499%. At the same time, Barbara takes out a $10,000 loan and agrees to repay it by making annual interest payments at an annual effective interest rate of i. She also agrees to make annual level deposits into a sinking fund that Section 5.6 Problems, Chapter 5 239 earns 4% annual effective interest so as to accumulate $10,000 at the end of the twelve years. Bob and Barbara discover they have the same total annual expenditures resulting from their loans. Find the rate