A portfolio manager is considering buying two bonds:

Bond A matures in $3$ years and has a coupon rate of $3\mathrm{.}5\%$ payable semi$-$annually.

Bond B matures in $10$ years and has a coupon rate of $5\%$ payable semi$-$annually.

Both bonds have similar credit risk and are priced at par.

If you plan to hold the bond for $3$ years, which of the following is not correct?

The total return of Bond B could be higher or lower than that of Bond A over the $3-$year holding period, because Bond B would need to be sold at year $3$ at an uncertain price.

Bond B $(10$ year maturity$)$ should provide a higher initial yield than Bond A $(3$ year maturity$),$ given the same credit risk and initial price.

Because of the lower coupon and shorter maturity, Bond A has more reinvestment risk than Bond $B$ in this scenario.

Bond $A$ is preferred over Bond $B$ if the investor expects market interest rates to increase, due to the shorter maturity $($lower duration$).$