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Consider a Function of Three Variables P=f(A,r,N)P = f ( A , r , N )

Question 235

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Consider a function of three variables P=f(A,r,N)P = f ( A , r , N ) , where PP is the monthly mortgage payment in dollars, AA is the amount borrowed in dollars, rr is the annual interest rate, and NN is the number of years before the mortgage is paid off.(a) Suppose f(180,000,6,30)=1080f ( 180,000,6,30 ) = 1080 . What does this tell you in financial terms?
(b) Suppose δfδr(180,000,6,30)=115.73\frac { \delta f } { \delta r } ( 180,000,6,30 ) = 115.73 . What does this tell you in financial terms?
(c) Suppose δfδN(180,000,6,30)=12.86\frac { \delta f } { \delta N } ( 180,000,6,30 ) = - 12.86 . What does this tell you in financial terms?

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(a) If you borrow $180,000 with annual i...

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