3. Suppose you are taking out a mortgage for $300,000, with an annual rate of interest of six percent. Mortgage payments are made and interest is compounded monthly. (A) What is the monthly mortgage payment for a 20-year mortgage? Hint: if you've forgotten how to do this, write down an equation that $300,000 equals the present value of the sum of 240 monthly payments. Let X be the monthly payment, and let r be the effective monthly interest rate. Then multiply the equation you have by 1/1+r to get another equation that you can subtract from the first one to simplify. (B) What nart of the first monthly navment is renavment of princinal?

3. Suppose you are taking out a mortgage for $300,000, with an annual rate of interest of six percent. Mortgage payments are made and interest is compounded monthly. (A) What is the monthly mortgage payment for a 20-year mortgage? Hint: if you've forgotten how to do this, write down an equation that $300,000 equals the present value of the sum of 240 monthly payments. Let X be the monthly payment, and let r be the effective monthly interest rate. Then multiply the equation you have by 1/1+r to get another equation that you can subtract from the first one to simplify. (B) What nart of the first monthly navment is renavment of princinal?

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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Similar questions

Suppose your gross monthly income is $5,300 and your current monthly payments are $575. If the bank will allow you to pay up to 36% of gross monthly income (less current monthly payments) for a monthly house payment, what is the maximum loan you can obtain if the rate for a 30-year mortgage is 4.65%? (Round your answer to the nearest cent.)
You bought a house with price of $250,000. Your LTV (loan-to-value ratio) is 80%. You choose the 30-year mortgage with interest rate 6%. Assuming the total transaction cost is $10,000. Please show all steps in excel and the excel spreadsheet. a. What is your loan amount? b. What is your monthly payment? c. What will be the loan balance at the end of nine years? d. What is the effective borrowing cost if the loan will be prepaid at the end of nine years? e. In the monthly payment, how much you pay for the principle and how much you pay for the interest in the 1st and the 2nd month? f. What will be your interest payments for the first 5 years (year 1 to year 5) and the last 5 years (year 26 to year 30)? g. What is your annual percentage rate (APR)?
Suppose you want to purchase a home for $525,000 with a 30-year mortgage at 4.84% interest. Suppose also that you can put down 30%. What are the monthly payments? (Round your answer to the nearest cent.) $ What is the total amount paid for principal and interest? (Round your answer to the nearest cent.) $ What is the amount saved if this home is financed for 15 years instead of for 30 years? (Round your answer to the nearest cent.)
Suppose that you take out a 40-year $175000 mortgage with an APR of 6%. You make payments for 3 years and then you consider refinancing the original loan. The new loan would have a term of 15 years, have and APR of 5.7% and be in the amount of the unpaid balance on the original loan. The administrative cost of taking out the second loan would be $1700. What are the monthly payments on the original loan? What would the monthly payment of the second loan be? What would the total amount you would pay if you continued with the original 40-year loan without refinancing? What would the total amount would you pay with the refinancing?
The formula below tells us how to obtain the maturity value on a simple discount loan if we are given the proceeds, the discount rate, and the term. If a loan's annual simple discount rate is 7.56%, how many years would it take for the debt to double? (This is called the doubling time of a loan). Round your answer to the nearest tenth of a year. Hint: divide both sides of the equation by P. If M is twice as much as P, what should the fraction on the left-hand side equal?
You are offered an add-on loan for $4,500 at 18% for 5 years. What is the monthly payment? What is the amount of interest? What is the true interest rate cost of this loan? If you could pay the same loan above at a compound rate: What would the monthly payment be? What would the amount of interest be? Prepare a monthly payment schedule for each loan above using Excel, and submit it. Suppose that you are only allowed to make a balloon payment to the principal of the compound interest loan. You have $1,000 to put down at the beginning of year three. How many payments will you save?
Suppose that you want to avoid paying interest and decide you'll only buy the furniture when you have the money to pay for it. An annuity is basically the opposite of a fixed-installment loan: you deposit a fixed amount each month and receive interest based on the total amount that's been saved. The future value formula is: A = [( The future value would be $ 12M 1+ 12 Y where M is the regular monthly payment, r is the annual interest rate in decimal form, and t is the term of the annuity in years. If you chose an annuity with a term of two years at 4.7% and a monthly payment of $100, the future value would be $2511.27. Recalculate the future value amount if you're willing to raise your monthly payment $20 per month. Round your answer to the nearest cent. 121 X 6
Suppose you take out a 50-year $250,000 mortgage with an APR of 6%. You make payments for 3 years (36 monthly payments) and then consider refinancing the original loan. The new loan would have a term of 20 years, have an APR of 5.8%, and be in the amount of the unpaid balance on the original loan. (The amount you borrow on the new loan would be used to pay off the balance on the original loan.) The administrative cost of taking out the second loan would be $1900. What are the monthly payments on the original loans ?(Round nearest to cent)
Suppose you took out a 25 year mortgage at 2.32% to purchase a home, making monthly payments of $2100. After 5 years and 6 months you are able to refinance for 20 years at 2.15%, making monthly payments of $1950. How much do you save on interest by refinancing?
Suppose your gross monthly income is $5,300 and your current monthly payments are $625. If the bank will allow you to pay up to 36% of gross monthly income (less current monthly payments) for a monthly house payment, what is the maximum loan you can obtain if the rate for a 30-year mortgage is 4.65%? (Round your answer to the nearest cent.)
You bought a house with price of $250,000. Your LTV (loan-to-value ratio) is 80%. You choose the 30-year mortgage with interest rate 6%. Assuming the total transaction cost is $10,000. Please show all steps and formulas in an excel spreadsheet. a. What is your loan amount? b. What is your monthly payment? c. What will be the loan balance at the end of nine years? d. What is the effective borrowing cost if the loan will be prepaid at the end of nine years? e. In the monthly payment, how much you pay for the principle and how much you pay for the interest in the 1st and the 2nd month? f. What will be your interest payments for the first 5 years (year 1 to year 5) and the last 5 years (year 26 to year 30)? g. What is your annual percentage rate (APR)?
You can afford a $800 per month mortgage payment. You've found a 30 year loan at 7.3% interest.a) How big of a loan can you afford? (Round to the nearest cent, as needed.)b) How much total money will you pay the loan company? (Round to the nearest cent, as needed.)c) How much of that money is interest? (Round to the nearest cent, as needed.)

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