Consider the single factor APT. Portfolio A has a beta of

$0$

$.$

$3$

$$and an expected return of

$1$

$3$

$\%$

$.$

$$Portfolio B has a beta of

$0$

$.$

$4$

$$and an expected return of

$1$

$5$

$\%$

$.$

$$The risk

$-$

free rate of return is

$1$

$0$

$\%$

$.$

$$Is there an arbitrage opportunity? If so

$,$

$$show one of your arbitrage strategies and how you would construct your portfolios.