A person needs $18,000 immediately as a down payment on a new home. Suppose that she can borrow this money from her company credit union. She will be required to repay the loan in equal payments made every six months over the next 12 years. The annual interest rate being charged is 10% compounded continuously. What is the amount of each payment? Be sure to use the monthly rate in your calculations. Recall that the amount of each payment under the loan equals the product of the initial loan amount and the appropriate (A/P,i%,N) factor. Recall that continuous compounding-interest factors for single cash flows are calculated with (F/P,r%,N)=erN,(P/F,r%,N)=erN and continuous compounding-interest factors for uniform series are given by (F/A,r%,N)=er1erN1,(A/F,r%,N)=erN1er1 (P/A,r%,N)=erN(er1)erN1(A/P,r%,N)=erN1erN(er1) where r equals the nominal interest rate per interest period and N is the number of interest periods