The company entered into a sub$-$lease agreement on January $1,2023.$ The lease agreement is a $10-$year term for office space, with a monthly lease payment of $$45,000$ due at the beginning of each month, and increasing $6\%$ every year. The incremental borrowing rate for the company is $5\%.$

On April $1,2023,$ the company decided to extend the lease term by $5$ years. The incremental borrowing rate at the time of modification is $6\%.$

Please answer the following while documenting your analysis and conclusions, noting any assumptions made:$$

Please use the fact pattern above to prepare lease amortization schedules as of January $1,2023$ and April $1,2023,$ in accordance with ASC $842.$

Please summarize the journal entries at lease inception, modification and month$-$end close during the term of the lease.