Suppose you take out a $$100,000,20-$year mortgage loan to buy a condo. The interest rate on the loan is $6\%.$ To keep things simple, we will assume you make payments on the loan annually at the end of each year.

a$.$ What is your annual payment on the loan? $($Do not round intermediate calculations. Round your answer to $2$ decimal places.$)$

b$.$ Construct a mortgage amortization. $($Do not round intermediate calculations. Round your answers to $2$ decimal places.$)$

c$.$ What fraction of your initial loan payment is interest? $($Do not round intermediate calculations. Enter your answers as a whole percent.$)$

d$.$ What fraction of your initial loan payment is amortization? $($Do not round intermediate calculations. Enter your answers as a whole percent.$)$

e$.$ What fraction of the loan has been paid off after $10$ years $($halfway through the life of the loan$)?($Do not round intermediate calculations. Round your answer to $2$ decimal places.$)$

f$.$ If the inflation rate is $2\%,$ what is the real value of the first $($year$-$end$)$ payment? $($Do not round intermediate calculations. Round your answer to $2$ decimal places.$)$

g$.$ If the inflation rate is $2\%,$ what is the real value of the last $($year$-$end$)$ payment? $($Do not round intermediate calculations. Round your answer to $2$ decimal places.$)$

h$.$ Now assume the inflation rate is $8\%$ and the real interest rate on the loan is unchanged. What must be the new nominal interest rate? $($Do not round intermediate calculations. Enter your answers as a whole percent.$)$

i$-1.$ Recompute the amortization table. $($Do not round intermediate calculations. Round your answers to $2$ decimal places.$)$

i$-2.$ What is the real value of the first $($year$-$end$)$ payment in this high$-$inflation scenario? $($Do not round intermediate calculations. Round your answer to $2$ decimal places.$)$

j$.$ What is the real value of the last payment in this high$-$inflation scenario? $($Do not round intermediate calculations. Round your answer to $2$ decimal places.$)$ Please get this right! I can't afford for this to be wrong.