Problem $3$:

Consider a semi$-$annual coupon bond, with face value of $$1,000,$ coupon rate of $5\%,$ and maturity of $20$ years.

What is the bond price if the APR of the interest rate is $5\%?$

What is the bond price if the APR of the interest rate is $10\%?$

What if the APR of interest rate is $4\%$

$3$