A mutual fund manager has a $90.0 million portfolio with a beta of 1.25. The risk-free rate is 3.50%, and the market risk premium is 6.00%. The manager expects to receive an additional $30.0 million which she plans to invest in a number of stocks. After investing the additional funds, she wants to reduce the portfolios risk level so that once the additional funds are invested the portfolios required return will be 11.75%. What must the average beta of the new stocks added to the portfolio be to achieve the desired required rate of return?