1. You own a portfolio with 10% of your money in Stock Q, 30% in Stock R, 15% in Stock S, and 45% in Stock T. The betas for these four stocks are 1.4, 0.6, 1.5, and 0.8, respectively. What is the portfolio beta?
2. A portfolio has an average return of 12.4%, a standard deviation of 15.8%, and a beta of 1.35. The risk-free rate is 2.6%. What is the Sharpe ratio?
3. A family has a $138,374, 20 -year mortgage at 6.8% compounded monthly. Find the unpaid balance after 8 years.