Consider the multi-factor APT with two factors. The risk premiums on the factor 1 and factor 2 portfolios are 5% and 8%, respectively. Stock A has a beta of 1.5 on factor 1, and a beta of 1.2 on factor 2. The expected return on stock A is 22%. If no arbitrage opportunities exist, then what is the risk-free rate?

Round your answer to 4 decimal places. For example, if your answer is 3.205%, then please write down 0.0321.