You are looking to invest some of your savings in a secure financial instrument and are considering

purchasing a Canada Savings Bond that has a face value of $$2,000$ and will mature in $6$ years. If you

want to achieve a rate of return of $4\mathrm{.}75\%$ compounded semi$-$annually, what is the maximum price you

should be willing to pay for the bond today? $(4$ marks$)$