Peerless Corporation $($a U$.$S$.$ company$)$ made a sale to a foreign customer on December $15,20$X$1$ for $125,000$ crowns. It received payment on January $15,20$X$2.$ The following exchange rates for $1$ crown apply:

December $15$$$0\mathrm{.}61$

December $31,0\mathrm{.}65$

January $15,0\mathrm{.}60$

How does the fluctuation in exchange rates affect Peerless's $20$X$1$ income statement?

$$5,000$ loss

$$6,250$ loss

$$5,000$ gain

$$6,250$ gain