Annual time-weighted rate of return

CFA Level I Portfolio Management
#1

Question:
A chartered analyst buys a share of stock at time t = 0 for $50. At t = 1, he purchases an extra share of the same stock for $53. The share gives a dividend of $0.50 per share for the first year and $0.60 per share for the second year. He sells the shares at the end of the second year for $55 per share. Calculate the annual time-weighted rate of return.

Answer: 5.9%

I tried calculating it on a Texas BA II Plus, but got the answer as 5.6%.
Method: CF0 = -50, CF1 = -52.5 (as, 0.5 - 53), CF2 = +111.2 (as, (20.6) + (255))

Where am I going wrong?

#2

CF worksheet will give you the money weighted return, not the time weighted return.

You need to calculate the rate of return for year 1 and year 2 separately.