Homework_2

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Georgia Institute Of Technology *

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6611

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Finance

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Feb 20, 2024

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CRP 8890 Development Finance Homework Number 2 Please show your work and do *NOT* use web-based financial calculator tools or amortization schedules. 1. A fully amortizing mortgage loan is made for $80,000 at 9 percent interest for 25 years, Payments are to be made monthly. Calculate: A.) Monthly payments. B.) Interest and principal payments during month 1. The contribution to the principal is $71.36.
C.) Total principal and total interest paid over 25 years. Since the loan is a fully amortized mortgage loan at the end of the loan the remaining balance will be $0. This means that the principal has been paid in full. This means that the total principal paid is 80,000 dollars. Total paid: $121,408.00. D.) The outstanding loan balance if the loan is repaid at the end of year 10.
E.) Total monthly interest and principal payments through year 10. Total through year 10 is $66,754.87 F.) What would the breakdown of interest and principal be during month 50? Amortization1 = Monthly payment - Interest payment = $671.36 - $600 = $71.36 The principal paid during month 50 is $102.91.
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The interest paid during month 50 is $568.45. 2. A 30-year fully amortizing mortgage loan was made 10 years ago for $75,000 at 10 percent interest. The borrower would like to prepay the mortgage balance by $10,000. A.) Assuming he can reduce his monthly mortgage payments, what is the new mortgage payment? The new mortgage payment is $561.68 a month.
B.) Assuming the loan maturity is shortened and using the original monthly payments, what is the new loan maturity? The new loan maturity is 161 months. 3. A fully amortizing mortgage is made for $100,000 at 6.5 percent interest. If the monthly payments are $1,000 per month, when will the loan be repaid? 144 months, or 12 years.
4. A fully amortizing mortgage is made for $80,000 for 25 years. Total monthly payments will be $900 per month. What is the interest rate on the loan? Interest on the loan is 12.96% 5. A partially amortizing loan for $90,000 for 10 years is made at 6 percent interest. The lender and borrower agree that payments will be monthly and that a balance of $20,000 will remain and be repaid at the end of year 10. a) Assuming 2 points are charged by the lender, what will be the yield if the loan is repaid at the end of year 10? The yield is 10.97%.
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b) What must the loan balance be if it is repaid after year 4? The loan balance will be $53,688.15. c) What will be the yield to the lender if the loan is repaid at the end of year 4? Yield to lender will be 6.70%.