Risks of investing in bonds

A security with higher risk will have a higher expected return. A bond's risk level is reflected in its yield, but understanding the different risks involved when investing in bonds is important.

The curves on the following graph show the prices of two $10\%$ annual coupon bonds at various interest rates.

Based on the graph, which of the following statements is true?

Both bonds have equal interest rate risk.

The $10-$year bond has more interest rate risk.

The $1-$year bond has more interest rate risk.

Neither bond has any interest rate risk.