At time t=0, John deposits 1000 into a fund which credits interest at a nominal interest rate of 10% compounded semiannually.
At the same time, he deposits P into a different fund which credits interest at a nominal discount rate of 6% compounded monthly.
At time t=20, the amounts in each fund are equal.
What is the annual effective interest rate earned on the total deposits, 1000 + P, over the 20-year period?