Calculating Interest Rates [✓ LO2] You are buying a house and will borrow$265,000 on a 30-year fixed-rate mortgage with monthly payments to financethe purchase. Your loan officer has offered you a mortgage with an APR of4.6 percent. Alternatively, she tells you that you can "buy down” the interestrate to 4.25 percent if you pay points up front on the loan. A point on a loanis 1 percent (one percentage point) of the loan value. How many points, atmost, would you be willing to pay to buy down the interest rate?

Step 1: Without Points (APR 4.6%) Loan Details:You borrow: $265,000Interest Rate: 4.6% (this is how…

Answered: Calculating Interest Rates [✓ LO2] You…

Essentials Of Investments

11th Edition

ISBN:9781260013924

Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Chapter1: Investments: Background And Issues

Section: Chapter Questions

Problem 1PS

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Let’s assume that you plan to purchase a house which is selling for $350,000 today. You will make a monthly payment for the next 30 years, with an annual interest rate of 3%. What will be the amount of your monthly mortgage (i.e., home loan) payment? answer choices $1,890.37 $1,400.01 $1,475.61 $1,228.14
Explain
Many mortgage lenders offer a way to lower your interest rate by paying some of the interest up front. This prepaid interest is known in the industry as points. Each point corresponds to 1% of the amount borrowed. In short, you're paying a fee to lower your interest rate. A lender offers you a 10-year fixed mortgage of $150,000 at 2.8% interest when you buy 1 point. Find the monthly payment. Do not round intermediate calculations. Round your answer to the nearest centavo. The monthly payment would be S x
Differential Equations You buy a house for $380000 and you take out a 30-year mortgage at 7% interest. For simplicity, assume that interest compounds continuously. i) What will be your annual mortgage payment, P? ii) Suppose that regular wages at your job allow you to increase your annual payment by 3% each year. For simplicity, assume this is a nominal rate, and your payment amount increases continuously. How long will it take to pay off the mortgage?
None
You can afford a $1350 per month mortgage payment. You've found a 30 year loan at 8% interest. a) How big of a loan can you afford? $ 142,944 b) How much total money will you pay the loan company? $ 486,012. X c) How much of that money is interest? $ 343,058.82 X
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6. You plan to buy a house that sells for $250,000. You plan to put 10% down and finance the rest. You are exploring the following financing options: i. 30-yr mortgage with a stated annual interest of 6.5% ii. 15-yr mortgage with a stated annual interest of 6%. You plan to pay off the loan by making equal monthly payments. What would be your monthly payment if you take the 30-yr mortgage? How much (total) interest would you pay over the life of the loan? $1422.15, $286,974 b. What would be your monthly payment if you take the 15-yr mortgage? How much (total) interest would you pay over the life of the loan? $1898.68, $116,762.01 a.
d You have decided to buy a car that costs $31,000. Since you do not have a big down payment, the lender offers you a loan with an APR of 6.27 percent compounded monthly for 7 years with the first monthly payment due today. What is the amount of your loan payment? Multiple Choice $294.91 $454.51 $456.89 $374.71 $293.38
13. Mortgage payments Mortgages, loans taken to purchase a property, involve regular payments at fixed intervals and are treated as reverse annuities. Mortgages are the reverse of annuities, because you get a lump-sum amount as a loan in the beginning, and then you make monthly payments to the lender. You've decided to buy a house that is valued at $1 million. You have $100,000 to use as a down payment on the house, and want to take out a mortgage for the remainder of the purchase price. Your bank has approved your $900,000 mortgage, and is offering a standard 30-year mortgage at a 10% fixed nominal interest rate (called the loan's annual percentage rate or APR). Under this loan proposal, your mortgage payment will be per month. (Note: Round the final value of any interest rate used to four decimal places.) Your friends suggest that you take a 15-year mortgage, because a 30-year mortgage is too long and you will pay a lot of money on interest. If your bank approves a 15-year, $900,000…
Quantitative Problem: You need $14,000 to purchase a used car. Your wealthy uncle is willing to lend you the money as an amortized loan. He would like you to make annual payments for 4 years, with the first payment to be made one year from today. He requires a 9% annual return. a. What will be your annual loan payments? Do not round intermediate calculations. Round your answer to the nearest cent. b. How much of your first payment will be applied to interest and to principal repayment? Do not round intermediate calculations. Round your answers to the nearest cent. Interest: $ Principal repayment: $
Mortgage, part 1 (The Loan)5 years ago you purchased a home for $215,000. You made a 10% down payment and paid for the rest with a 30 year mortgage with a rate of 4.65%. How much was the down payment? How much of the purchase price did you finance with the loan? What is your monthly payment? Use solver. Clearly write the formula you will use as well as all values used in the formula. How much of the loan is left to pay after the first 5 years? Use solver. Clearly write the formula you will use as well as all values used in the formula. How much did you pay to the lender (total) over the first 5 years? How much of what you paid to the lender in the first 5 years was interest? If you paid this loan for all 30 years, how much interest would you pay?

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