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?

$($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?