An investor pays $10,000 today to purchase an investment that returns $5,000 at the end of each of years 2, 4, and 5. The returns are immediately reinvested at an annual interest rate of 5%. Calculate the annual effective yield rate for the investor at the end of the fifth year.

(a) 9.91% (b) 12.00% (c) 12.45% (d) 13.11% (e) 15.13%