Despise vs Undervalue - What's the difference?

Despise is a synonym of undervalue.

is that despise is to regard with contempt or scorn while undervalue is to underestimate, or assign too low a value to.

(despis)

To regard with contempt or scorn.

* scorn * See also *contempt

* honor * respect * revere

* despisal * despicable

* *

To underestimate, or assign too low a value to.

To have too little regard for.

* Atterbury

In comparison of it I undervalued all ensigns of authority.

* Dryden

I write not this with the least intention to undervalue the other parts of poetry.

* (l)