Suppose you want to buy a $143,000 home. You found a bank that offers a 30-year loan at 5.1% APR. What will be your monthly payment? (Round to the nearest cent.) $ How much would you end up paying the bank for the home after 30 years? (Round to the nearest cent.) $ Suppose you wanted to reduce the time of your loan to 25 years. What would be your new monthly payment? (Round to the nearest cent.) $ How much would you end up paying the bank for the home after 25 years? (Round to the nearest cent.) $ How much did you save by reducing the time of your mortgage loan? (Round to the nearest cent.) $
Added by Ry S.
Close
Step 1
To find the monthly payment for a 30-year loan at 5.1% APR, we can use the mortgage payment formula: Monthly Payment = P * (r * (1 + r)^n) / ((1 + r)^n - 1) Where P is the principal amount (the cost of the home), r is the monthly interest rate (APR divided Show more…
Show all steps
Your feedback will help us improve your experience
Oluwadamilola Ameobi and 66 other Financial Algebra educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Recommended Videos
Danielle F.
Assume that you have a 30-year fully amortized fixed-rate mortgage for your home. Your loan amount is $300,000 with a 3% annual interest rate. After 28 years, you would like to sell the property. What is your loan balance at the end of 28 years? Assume that you have a 30-year fully amortized fixed-rate mortgage for your home. Your loan amount is $300,000 with a 3% annual interest rate and your balloon payment is $50,000. What is your loan balance after 12 years? Assume that you have a 30-year fully amortized fixed-rate mortgage for your home. Your loan amount is $300,000 with a 3% annual interest rate. When you originate your loan, you have to pay an upfront fee of 3% (or 3 points of your loan amount). What is your APR? John takes a fully amortizing mortgage for $80,000 at 10 percent interest for 30 years, with monthly payments. What will be his monthly payment? Dave wants to buy a house. To do so, he must incur a mortgage. A local lender has determined that Dave can afford a monthly payment of $600, principal and interest. If the current interest rate on 30-year fixed-rate mortgages is 9.5 percent, what is the maximum amount of mortgage that Dave could qualify for? Mike qualifies to borrow $120,000 on a mortgage at 9 percent for 30 years, with monthly payments. What is his monthly payment? How much interest does Mike pay in the first month of the loan? How much interest does he pay in the first year of the mortgage? If he decides to repay the mortgage at the end of year 3, what is the outstanding balance at that time? How much total interest does he pay over this 3-year period? You borrow $75,000 for 30 years with monthly amortization, and your payment is $590.03. What interest rate is being charged? You want to purchase a house that has an asking price of $125,000. You can get a loan for 80 percent of the bank's appraised value at 9.5 percent for 30 years, with monthly payments. The appraiser values the house at 95 percent of the asking price. What will be your monthly payment if you take the loan? What would be the balance of the mortgage after 5 years? You need a 30-year fixed-rate mortgage for $100,000. Bank A offers 6% interest with 1% closing costs. Bank B offers 5.75% interest with 2% closing costs and 1.5 discount points. What is your monthly payment from Bank A and Bank B? What is your loan balance after 7 years for each loan? What is the APR of these mortgages and which Bank will you choose? (Which Bank gives you a better offer?) Please clearly show the five elements and other functions used (PV, FV, PMT, I/Y, N, Amort, etc).
Sri K.
Problem Set 10: Mathematics of Money (Part 2) Consumer Debt 1. Suppose you purchase a car and you are going to finance $14,500 for 36 months at an APR of 6% compounded monthly. Find the monthly payments on the loan. 2. Suppose you want to buy a car. The dealer offers a financing package consisting of a 6% APR compounded monthly for a term of five years. Suppose that you want your monthly payments to be at most $320. What is the maximum amount that you should finance? Give your answer to the nearest dollar. 3. The Simpsons are planning to purchase a new home. To do so, they will need to take out a 30-year home mortgage loan of $160,000 through Middletown Bank. Annual interest rates for 30-year mortgages at Middletown Bank are 5.75% compounded monthly. (a) Compute the Simpsons' monthly mortgage payment under this loan. (b) How much interest will the Simpsons pay over the life of the loan? 4. Cari just bought a house. She made a $35,000 down payment and financed the balance with a 30-year home mortgage loan with an interest rate of 5.75% compounded monthly. Her monthly mortgage payment is $877. What was the selling price of the house?
Adi S.
Recommended Textbooks
Mathematics for Finance An Introduction to Financial Engineering
Universe: Solar System, Stars, and Galaxies
The Mathematics of Financial Derivatives: A Student Introduction
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD