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Effects of yield volatility on the values of a putable bond and a callable bond?

How does yield volatility effect values of callable and putable bonds ? Shouldn’t an increase in yield volatility increase the values of both the embedded call and put options and thus increase the value of both bonds ?

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These bonds both contain embedded options but the investors position is different.  In the putable bond, the investor essentially has a position equal to a long position in a plain vanilla bond plus a LONG position in the put.  So, the increased value of the put from an increase in volatility increases the value of the investor’s bond+Put portfolio.

In contrast, In the callable bond, the investor’s position is equivalent to a long position in a plain vanilla bond plus a SHORT position in the call.  If the call is exercised, the bond issuer benefits (and since it’s a zero-sum game, the investor loses).  So, while the value of the call increases with higher volatility, it DECREASES the value of the investor’s (bond-call) portfolio.

You keep using that word.  I do not think it means what you think it means.

Easy as that..Thanks for the response!