1)
Let's say you have an option to put a bond if it drops below $90 (par is $100). If there is decreased volatility, the chances of you being able to "put" the bond back to the issuer has diminished. Thus, the embedded option is worth less.
Conversely, if volatility increases, the chances of you needing to put the bond back to the issuer increases. Thus, having the ability to put the bond is more valuable.
Just remember: Higher volatility = higher value of embedded option. |