On September $30,2024,$ Crown Corporation purchased franchise rights from a national restaurant chain. In payment, Crown has the option of paying $$366,680$ immediately or $$412,000$ in two years by signing a noninterest$-$bearing note. Crown chooses the option of paying $$412,000$ in two years.

At what amount will Crown initially value the franchise?

How much interest expense will Crown recognize in its income statement for this note for the year ended December $31,2024?$

Note: Use appropriate factor$($s$)$ from the tables provided. Round your answers to the nearest dollar value. $($FV of $$1,$ PV of $$1,$FVA of $$1,$ PVA of $$1,$ FVAD of $$1$ and PVAD of $$1)$

$\backslash$table$[[$Table or calculator function:,PV of $$1$