Interest Rate Risk

Why is the interest rate risk of a bond higher if the yield to maturity is lower?

Thanks

Take a look at the price vs. yield curve for a straight bond: it’s steeper as lower YTMs, less steep at higher YTMs.

Thank you for the reply. Am i correct if I say interest rate risk is sensitivity of Price change of a bond to the change in interest rate and this is also the definition for Duration

You’re welcome.

Yes.

The percentage change in the bond’s price divided by the change in its YTM is the definition of modified (or effective) duration.