Were the sacrifices made by the Loisels in vain? Justify your answer with reference to the text. (The Necklace)

Matilda – borrowed the necklace from her friend – lost it – made sacrifices to return the necklace Led a miserable life – changed lodgings – rented a room in the attic – did menial work in the kitchen – took down the refuge to the street – clothed like an ordinary woman Mr. Loisel also worked hard for a merchant- did copying at $\displaystyle 5$ sous a page Took ten years to pay the debt incurred in buying a new necklace Accidently met her friend after ten years – was informed that the necklace was fake Realized – all her sacrifices were in vain