$1.$ The investment firm of Johnson Brother purchased a bond one year ago that had nine years remaining to maturity at that time. This coupon rate was $10\%,$ paid annually and the par value was $$1,000.$ At the time of purchase, yield to maturity was $8\%.$ If he sold the bond after receiving the first interest payment and the yield to maturity continued to be $8\%.$ What is the annual rate of return on holding the bond for that year?

$2.$ Johnson bothers to invest $$100$ in a risky asset with an expected rate of return of $0\mathrm{.}11$ and a standard deviation of $0\mathrm{.}21$ and a t$-$bill with a rate of return of $0\mathrm{.}045.$ The firm$$s goal is to form a client portfolio that has an expected return of $$114.$ Given this information, how can the firm accomplish its goal?