Exercise $15-29($Algo$)$ Finance lease; purchase options; lessee $[$LO$15-2,15-6]$

Federated Fabrications leased a tooling machine on January $1,2024,$ for a three$-$year period ending December $31,2026.$

The lease agreement specified annual payments of $$41,000$ beginn"ng with the first payment at the beginning of the lease, and each December $31$ through $2025.$

The company had the option to purchase the machine on December $30,2026,$ for $$50,000$ when its fair value was expected to be $$65,000,$ a sufficient difference that exercise seems reasonably certain.

The machine's estimated useful life was six years with no salvage value. Federated was aware that the lessor's implicit rate of return was $11\%.$

Note: Use tables, Excel, or a financial calculator. $($FV of $$1,$ PV of $$1,$ FVA of $$1,$ PVA of $$1,$ FVAD of $$1$ and PVAD of $$1)$

Required:

Calculate the amount Federated should record as a right$-$of$-$use asset and lease liability for this finance lease.

Prepare an amortization schedule that describes the pattern of interest expense for Federated over the lease term.

Prepare the appropriate entries for Federated from the beginning of the lease through the end of the lease term.