The Indo-European root of the word hope is a stem, K-E-U, we would spell it K-E-U; it's pronounced koy, and it is the same root from which the word curve comes from.
La raíz Indo-Europea de la palabra esperanza es: K-E-U, lo deletreariamos K-E-U; se pronuncia koy, y es la misma raíz de la que proviene la palabra curva.