An annual bond has a face value of $$1,000\mathrm{.}00,$ makes an annual coupon payment of $$12\mathrm{.}00$ per year, has a discount rate per year of $4\mathrm{.}37\%,$ and has $8$ years to maturity. What is price of this bond?

A $4$ year Treasury Bond with a face value of $$1,000$ and an annual coupon rate of $6\mathrm{.}50\%$ had a yield to maturity of $3\mathrm{.}15\%.$ This bond makes $2($semiannual$)$ coupon payments per year and thus has $8$ periods until maturity.

What is price of this bond based on the Effective Annual Rate $($EAR$)$

convention? What is price of this bond based on the Annual Percentage Rate

$($APR$)$ convention? On the same date, the following exchanges rates were

observed: $$1\mathrm{.}00=$$$9\mathrm{.}5350,$$$1\mathrm{.}00=0\mathrm{.}4206,$ and $$1=$ IDR $52\mathrm{.}75.$ Under

both the EAR and APR conventions, what is the price of the bond in Chinese

Yuan $(),$ European Euros $(),$ and in Indian Rupees $($IDR$)?$

Perform instant experiments on whether changing various inputs causes an increase or decrease in the Bond Price and by how much.

$($a$.)$ What happens when the annual coupon rate is increased?

$($b$.)$ What happens when the yield to maturity is increased?

$($c$.)$ What happens when the number of payments $/$ year is increased?

$1$d$.)$ What happens when the face value is increased?

$($e$.)$ What is the relationship between the price of a par bond and time to maturity?

$($f$.)$ What happens when the annual coupon rate is increased to the point that it equals the yield to maturity? What happens when it is increased further?

A $4$ year Treasury Bond with a face value of $$1,000$ and an annual coupon rate of $3\mathrm{.}20\%$ has a yield to maturity of $2\mathrm{.}53\%.$ This bond makes $2($semiannual$)$ coupon payments per year and thus has $8$ periods until maturity.

What is the duration, modified duration, and convexity of this bond based on the Annual Percentage Rate $($APR$)$ convention? What is the duration, modified duration, and convexity of this bond based on the Effective Annual Rate $($EAR$)$ convention? What is the intuitive interpretation of duration?