You borrow $$517,500$ to purchase a house and select a Fixed rate mortgage, closed for $5$ years at $4\mathrm{.}5\%,$ annual rate and amortized over $25$ years with a monthly payment. You open the newspaper on your exact two$-$year anniversary of your mortgage advance and notice that the mortgage rates have dropped. Review the table below for the rates available to you from your bank.

$1$ Year $2\mathrm{.}0\%$

$2$ Year $2\mathrm{.}50\%$

$3$ Year $3\mathrm{.}00\%$

$4$ Year $3\mathrm{.}65\%$

$5$ Year $4\mathrm{.}00\%$

Included in your mortgage agreement is the right to pre$-$pay your mortgage by $15\%$ of the original mortgage balance every year of the agreement.

Part A: How much money do you owe $($i$.$e$.$ what is the outstanding balance$)$ on the day you are looking at the newspaper and see the new rates?

Part B: How much interest did you pay over the term of the mortgage? How much was principal? $($this relates to the two year period from the time you took out the mortgage to now$)$

Part C: You want to $$break$$ your mortgage agreement. Your banker warns you that you will need to pay the mortgage breaking penalty. Calculate the approximate penalty you will need to pay. Based on your calculation and your desire to refinance the existing mortgage into a new mortgage for $5$ years at the current $5-$year rate, is it worth doing? Explain why. Please show your calculations for IRD and $3-$month interest penalty.

$//$the answer better not be a copy of another similar question on Chegg, please answer this as the question asks and in completion, chegg allows upto a $4-$part question this is a $3-$part, answer fully following each instruction the question asks$//$