Putable bonds beyond, critical, question, statements, increase

YouCanDoIt

Can anyone help me shed some lights to this question:

An analyst makes 2 statements:

1- As yield rises, the price of putable bond will fall more quickly than similar option free bond ( beyond a critical point) due to decline in value of embedded put option

2- As yield falls, the price of putable bond will increase more quickly than similar option free bond ( beyond a critical point) due to the increase in value of embedded put option.


DOes this hold true for put option embedded in bonds: As yield rise, put option decrease and vice versa, or this only applies to option on stock?

Thanks