The following table summarizes prices of various default$-$free zero$-$coupon bonds $($expressed as a percentage of the face value$)$:

a$.$ Compute the yield to maturity for each bond.

b$.$ Plot the zero$-$coupon yield curve $($for the first five years$).$

c$.$ Is the yield curve upward sloping, downward sloping, or flat?

a$.$ Compute the yield to maturity for each bond.

The yield on the $1-$year bond is

$\%.($Round to two decimal places.$)$

The yield on the $2-$year bond is

$\%.($Round to two decimal places.$)$

The yield on the $3-$year bond is

$\%.($Round to two decimal places.$)$

The yield on the $4-$year bond is

$\%.($Round to two decimal places.$)$

The yield on the $5-$year bond is

$\%.($Round to two decimal places.$)$

b$.$ Plot the zero$-$coupon yield curve $($for the first five years$).$