If a coupon bond has two years to$$ maturity, a coupon rate of $10\%,$ a par value of $$$$900,$ and a yield to maturity of $13\%,$ then the coupon bond will sell for $$$

$$

enter your response here.$($Round your response to the nearest two decimal$$ place$)$

Part $2$

The price of a bond and its yield to maturity are

$$

positively related

negatively related

unrelated

$.$

Part $3$

Which of the following statements is not$$ true?

A$.$

The longer to$$ maturity, the greater is the change in the price of a bond from the same size change in the interest rate.

B$.$Bond prices vary proprtionately with the interest rate for both coupon bonds and discount bonds.

Bond prices vary proprtionately with the interest rate for both coupon bonds and discount bonds.

C$.$Current yield is a better approximation of yield to maturity for long dash term bonds when compared to short dash term bonds.

Current yield is a better approximation of yield to maturity for long dash term bonds when compared to short dash term bonds.

D$.$

The coupon rate on a coupon bond is fixed once the bond is issued.