• A bond manager has a choice of two bonds, A and B$.$ Bond A is a $4-$year annual coupon bond with rate of$6\%.$ Bond B is a $2-$year annual coupon bond with coupon rate of $4\%.$ The current yield to maturity in themarket is $5\mathrm{.}5\%$ per annum for all maturities. How does the manager construct a portfolio of $$100$ million, consisting of bonds A and B$,$ with a Macaulay duration of $2\mathrm{.}5$ years?