Suppose you take out a $$113,000,20-$year mortgage loan to buy a condo. The interest rate on the loan is $4\%.$ To keep things simple, we will assume you make payments on the loan annually at the end of each year.

f$.$ If the inflation rate is $1\%,$ what is the real value of the first $($year$-$end$)$ payment?

g$.$ If the inflation rate is $1\%,$ what is the real value of the last $($year$-$end$)$ payment?

h$.$ Now assume the inflation rate is $7\%$ and the real interest rate on the loan is unchanged. What must be the new nominal interest rate?

i$-1.$ Recompute the amortization table.

i$-2.$ What is the real value of the first $($year$-$end$)$ payment in this high$-$inflation scenario?

j$.$ What is the real value of the last payment in this high$-$inflation scenario? ANSWER THESE PLEASE Note: Do not round intermediate calculations. Round your answers to $2$ decimal places.