A newly issued $10-$year, $$1,000,$ zero coupon bond just sold for $$311\mathrm{.}05.$ What is the implicit interest, in dollars, for the first year of the bond's life? Assume semiannual compounding.

Timber Co$.$ just paid its annual dividend of $$3\mathrm{.}82$ and expects to reduce this payout by $6$ percent each year, indefinitely. What is the per share value of this stock if you require a return of $14\mathrm{.}5$ percent?

Storico Co$.$ just paid a dividend of $$1\mathrm{.}60$ per share. The company will increase its dividend by $20$ percent next year and then reduce its dividend growth rate by $5$ percentage points per year until it reaches the industry average of $5$ percent dividend growth, after which the company will keep a constant growth rate forever. If the required return on the company's stock is $17$ percent, what will a share of stock sell for today?

Project A costs $$47,800$ with cash inflows of $$34,200$ in Year $1$ and $$28,700$ in Year $2.$ Project B costs $$63,200$ with cash inflows of $$21,900$ in Year $1$ and $$59,200$ in Year $2.$ These projects are independent and have an assigned discount rate of $15$ percent. Based on the profitability index, what is your recommendation concerning these projects?

A$)$ Accept both projects

B$)$ Reject both projects

C$)$ Accept Project A and reject Project B

D$)$ Accept Project B and reject Project A

E$)$ Accept either, but not both projects

A project has a required return of $12\mathrm{.}6$ percent, an initial cash outflow of $$42,100,$ and cash inflows of $$16,500$ in Year $1,$ $$11,700$ in Year $2,$ and $$10,400$ in Year $4.$ What is the net present value?