You currently have $$105,000$ invested in a portfolio that has an expected return of $10\%$ and a volatility of $9\%.$ Suppose the risk$-$free rate is $6\%,$ and there is another portfolio has an expected return of $24\%$ and a volatility of $15\%.$

a$.$ What portfolio has a higher expected return than your portfolio but with the same volatility?

b$.$ What portfolio has a lower volatility than your portfolio but with the sam$$ expected return?