$(8$ Points$)$ Roadside Markets has a $6\mathrm{.}75$ percent coupon bond outstanding that matures in $10\mathrm{.}5$ years. The bond pays interest semiannually.

A$)$ What is the market price of the bond if the face value is $$1,000$ and the current yield to maturity of equivalent bonds is $7\mathrm{.}2$ percent?

B$)$ What is the expected market price of the bond in $1\mathrm{.}5$ years if the face value is $$1,000$ and the expected market rate of interest of equivalent bonds increases to $8\mathrm{.}5$ percent?

$(4$ points$)$ CU wants to raise $$10$ million to expand their school. To accomplish this, they plan to sell $30-$year, $$1,000$ face value zero$-$coupon bonds. The bonds will be priced to yield $6$ percent. What is the minimum number of bonds they must sell to raise the $$10$ million they need?

$(4$ points$)$ A bond has a coupon rate of $8\mathrm{.}2$ percent, a $$1,000$ par value, matures in $11\mathrm{.}5$ years, has a yield to maturity of $7\mathrm{.}67$ percent, and pays interest annually. What is the current yield?

$(6$ points$)$ One year ago, you purchased $100$ shares of stock in Puck's Backyard Grill at a price of $$43\mathrm{.}89$ a share. The stock pays a quarterly dividend of $$\mathrm{.}10$ a share. Today, you sold all of your shares for $$45\mathrm{.}13$ per share.

a$)$ What is your total percentage return on this investment?

b$)$ What is your dividend yield on this investment?

c$)$ What is your capital gains yield on this investment?

$(4$ points$)$ How much are you willing to pay for one share of stock if the company just paid an annual dividend of $$1\mathrm{.}03,$ the dividends increase by $3$ percent annually, and you require a rate of return of $15$ percent?

$(6$ Points$)$ CC is a new firm in a rapidly growing industry. The company is planning on increasing its annual dividend by $10$ percent a year for the next $8$ years and then decreasing the growth rate to $5$ percent per year. The company just paid its annual dividend in the amount of $$2\mathrm{.}20$ per share. What is the current value of one share of this stock if the required rate of return is $15\mathrm{.}0$ percent?