A 20-year loan of 20,000 may be repaid under the following two methods: (i) amortization method with equal annual payments at an annual effective...

A 20-year loan of 20,000 may be repaid under the following two methods:

(i) amortization method with equal annual payments at an annual effective interest rate of 6.5%

(ii) sinking fund method in which the lender receives an annual effective interest rate of 8% and the sinking fund earns an annual effective interest rate of j.

Both methods require a payment of X to be made at the end of each year for 20 years. Calculate j.