Rebecca invests $16,312 at time t=0. In return, she gets $8,000 at time t=1 and $10,000 at time t=2. Here time t is measured in years. Let i (i>0) denote the annual effective yield rate of this investment. Assume half of the $8,000 received at time t=1 is reinvested immediately at an annual effective interest rate of 5%. Establish the equation of NPV for Rebecca, and solve it for i.