1. car. A lender is willing to provide the loan with an annual interest rate of 8%. (a) The borrower wishes to pay off the loan in four years. What monthly payment is required to do this? (Assume a continuous approximation to a discrete process.) (b) If the borrower wants to limit the monthly payment to $450 how many months would be needed to pay off the loan? A recent college graduate wishes to borrow $20000 in order to purchase a new

1. car. A lender is willing to provide the loan with an annual interest rate of 8%. (a) The borrower wishes to pay off the loan in four years. What monthly payment is required to do this? (Assume a continuous approximation to a discrete process.) (b) If the borrower wants to limit the monthly payment to $450 how many months would be needed to pay off the loan? A recent college graduate wishes to borrow $20000 in order to purchase a new

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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You have just purchased a car and taken out a $50,000 loan. The loan has a five-year term with monthly payments and an APR of 6.0%. a. How much will you pay in interest, and how much will you pay in principal, during the first month, second month, and first year? (Hint: Compute the loan balance after one month, two months, and one year.) b. How much will you pay in interest, and how much will you pay in principal, during the fourth year (i.e., between three and four years from now)? (Note: Be careful not to round any intermediate steps less than six decimal places.) a. How much will you pay in interest, and how much will you pay in principal, during the first month, second month, and first year? (Hint: Compute the loan balance after one month, two months, and one year.) During the first month, you will pay $ in principal. (Round to the nearest cent.)
Assume that a broker agent introduces you to a local bank, and that bank offers you their lowest interest rate at 3.25% APR, with a 10-year fixed interest rate or 20-year fixed interest rate. 1) If you want a 10-year, fixed mortgage loan, find the monthly mortgage payment for a house that you will borrow $500,000 with no down payment. 2) Determine the total amount paid over the full term of the loan. 3) How much interest will be paid on the loan over the 10 years?
A lender makes a loan of $100,000 at a 6% interest rate for 25 years with monthly payments. The lender will require an origination fee of $1,000 and will also discount the loan by some amount. Suppose the lender discounts the loan by the amount calculated in the last question. What is the annual percentage rate (APR) on this loan? a. 5.45% b. 6.00% c. 6.11% d.6.20% e. 6.65% Assume the borrower repays the loan after 8 years. What is the effective borrowing cost (EBC) on this loan? a. 6.10 b. 6.17 c. 6.33 d. 6.50 e. 6.84
You have just purchased a new warehouse. To finance the purchase, you' ve arranged for a 35-year mortgage for 85 percent of the $3,100,000 purchase price. The monthly payment on this loan will be $17,200. a. What is the APR on this loan? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g ., 32.16.) b. What is the EAR on this loan? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.)
A borrower made a constant payment mortgage loan 8 years ago for $400,000 at 12 percent interest for 30 years. 1. What is the monthly payment? 2. What is the current loan balance? 3. Assume this is homeowner has been offered a chance for refinance for the amount at the current balance for 22 years at 10.5% interest rate. What is the monthly payment if the homeowner chooses to refinance? 4. If the origination fees and closing costs are $25,500, and the costs are not financed by the lender. What is the effective cost of refinancing? Should this homeowner refinance? 5. If this homeowner plans to sell the house in 5 years, should this homeowner refinance (show your answer with the effective annual rate)? use excel to get the answers and show the formulas
Suppose that you take out an unsubsidized Stafford loan on September 1 before your junior year for $45004500 and plan to begin paying it back on December 1 after graduation and grace period 27 months later. The interest rate is 6.8%. How much of what you will owe will be interest?$Round your answer to the nearest cent.
If a borrower took out a loan 3 years ago with a fixed interest rate of 1.5%, who is the winner today the lender or the borrower? Why? Make sure to cite a source in your response.
Suppose Mary Grace needs to borrow $8,900 for the purchase of a car and is considering two loan options. Loan A is a four-year loan at 7.6% interest while loan B is a seven-year loan at 7.9% interest.Determine the monthly payment required to repay Loan A and the total interest paid over the life of Loan A. Round solutions to the nearest cent, if necessary.The monthly payment for Loan A is $ .The total interest paid for Loan A is $ .Determine the monthly payment required to repay Loan B and the total interest paid over the life of Loan B. Round solutions to the nearest cent, if necessary.The monthly payment for Loan B is $ .The total interest paid for Loan B is $ .Determine the lower-cost option of the two loans. Loan A is the lower-cost option. Loan B is the lower cost option. Determine the amount of savings Mary Grace will experience if she chooses the lower-cost loan option.Savings = $ Hint: Related FormulaThe loan payment formula for fixed installment loans is given by the…
You have a loan outstanding. It requires making four annual payments of $1000 each at the end of the next four years. Your bank has offered to allow you to skip making the next three payments in lieu of making one large payment at the end of loan's term in four years. If the interest rate on the loan is 7%, what final payment will the bank require you to make so that it is indifferent to the two forms of payment? Round answer to nearest dollar
A payday loan is structured to obscure the true interest rate you are paying. For example, you pay a $15 "fee" for a two-week $180 payday loan (when you repay the loan in two weeks, you pay $180+$15). What is the effective annual interest rate for this loan? Assume 26 bi-weekly periods per year. Enter your answer as a decimal, rounded to 4 decimal places. Your Answer:
Suppose Lydia needs to borrow $24,200 for the purchase of a car and is considering two loan options. Loan A is a seven-year loan at 8.8% interest while loan B is a six-year loan at 8.3% interest.Determine the monthly payment required to repay Loan A and the total interest paid over the life of Loan A. Round solutions to the nearest cent, if necessary.The monthly payment for Loan A is $ Incorrect.The total interest paid for Loan A is $ Incorrect.Determine the monthly payment required to repay Loan B and the total interest paid over the life of Loan B. Round solutions to the nearest cent, if necessary.The monthly payment for Loan B is $ Incorrect.The total interest paid for Loan B is $ Incorrect.Determine the lower-cost option of the two loans. Loan A is the lower-cost option. Loan B is the lower cost option. Determine the amount of savings Lydia will experience if she chooses the lower-cost loan option.Savings = $
You have a loan outstanding. It requires making three annual payments of $8,000 each at the end of the next three years. Your bank has offered to allow you to skip making the next two payments in lieu of making one large payment at the end of the loan's term in three years. If the interest rate on the loan is 5%, what final payment will the bank require you to make so that it is indifferent to the two forms of payment? The final payment the bank will require you to make is $ (Round to the nearest dollar.)

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