Assume that you are considering the purchase of a $20-$year, noncallable bond with an annual coupon rate of $9\mathrm{.}5\%.$ The

bond has a face value of $$1,000,$ and it makes semiannual interest payments. If you require an $10\mathrm{.}7\%$ nominal yield to

maturity on this investment, what is the maximum price you should be willing to pay for the bond?

A$)$ $$721\mathrm{.}44$

B$)$ $$910\mathrm{.}81$

C$)$ $$901\mathrm{.}80$

D$)$ $$874\mathrm{.}74$

E$)$ $$1,000\mathrm{.}99$

The St$.$ Joe Company grows pine trees and the average annual increase in tree

diameter is $3\mathrm{.}1$ inches with a standard deviation of $0\mathrm{.}5$ inch. A random sample of $n=$

$50$ trees is collected. What is the probability of the sample mean being less the $2\mathrm{.}9$

inches?

$0\mathrm{.}9977$

$0\mathrm{.}9954$

$0\mathrm{.}0023$

$0\mathrm{.}4977$