Suppose you purchase a house for $522,378 and make a down payment of 17% of the purchase price. The balance is amortized over 22 years. The house mortgage agreement is subject to 2.1479% compounded semi-annually for the first four years and requires equal monthly payments. - What is the size of the equal monthly payments for the first four years? What is the house mortgage balance at the end of the four years? Perform this calculation using Excel, without an amortization schedule. After four years, the house mortgage is refinanced at a reduced nominal rate of 2.0331% compounded semi-annually and the house mortgage is amortized over the remainder of the term. - What is the size of the new mortgage payments for the remainder of the term? - What is the size of the final loan payment? Perform this calculation in Excel, without an amortization schedule