Consider a $4-$year amortizing loan. You borrow $$120,000$ initially, and repay it in four equal annual year$-$end payments.

a$.$ If the interest rate is $7\mathrm{.}8\%,$ calculate the annual payment. $($Do not round intermediate calculations. Round your answer to $2$ decimal places.$)$

Annual payment

$

b$.$ Prepare an amortization schedule. $($Leave no cells blank $-$ be certain to enter $"0"$ wherever required. Do not round intermediate calculations. Round your answers to $2$ decimal places.$)$

c$-1.$ What is the loan balance at the end of year $1?($Do not round intermediate calculations. Round your answer to $2$ decimal places.$)$

Loan balance

$

c$-2.$ Is it the present value of the remaining loan payments? $$