Cynthia is 27 and has 3 years' worth of payments remaining on her student loan. She pays $312.75 a) If Cynthia's bank charges 8.95% interest per year, compounded monthly, determine the present value of the remainder of the loan. per month. b) If the bank is willing to accept early payment, how much interest would Cynthia save by paying back the rest of the loan today?

Cynthia is 27 and has 3 years' worth of payments remaining on her student loan. She pays $312.75 a) If Cynthia's bank charges 8.95% interest per year, compounded monthly, determine the present value of the remainder of the loan. per month. b) If the bank is willing to accept early payment, how much interest would Cynthia save by paying back the rest of the loan today?

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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Emma plans to loan $1,000 to her friend, who will pay a simple interest rate of 5.8% every year for the loan. If no payments are made and no further borrowing occurs between them for 13 years, then how much money will Emma' s friend owe her? $1,061.36 $1,754.00 $2,081.20 $158.00 Now, assume that Emma's friend volunteers to pay compound interest instead of simple interest for her loan. If interest is accrued at 5.8% compounded annually, all other things being equal, how much money will Emma's friend owe her in 13 years? $2,081.20 $1,058.00 $120.71 $ 1,754.00 Emma has another investment option in the market that pays 5.8% nominal interest, but it's compounded quarterly. Keeping everything else constant, how much money will Emma have in 13 years if she invests $1,000 in this fund? $158.00 $129.72 $2,114.01 $1,059.27
Zoey Bettincourt gets a $400,000 loan for a townhouse. She secures a 5/1 ARM at an initial interest rate of 2.75%. Her initial monthly payment is $1,632.96. After 5 years, the interest rate on her loan changes to 3.5%. Calculate her new monthly payment (in dollars) in year 6 of the loan. (Round your answer to the nearest cent. Assume the length of the loan is 30 years.)
Derrick recently graduated. He owes $17,525 in student loans with APR of 4.6% compounded monthly. He is expected to pay off his loan in 15 years. Round answer to two decimal points a. Under the current terms of his loan what is Derricks minimum payment? b. What is the total amount Derrick will pay when the loan is complete? c. How much will Derrick pay in interest? d. Derrick wants to pay more than the required monthly amount for his loan. Assuming the same conditions of the original student loan what would Derrick new monthly payment would be if he pay off loan in 10 years e. What is the total amount Derrick will pay if they pay off the loan in 10 years? f. With the 10 year loan how much will Derrick pay in interest?
Emma bought a $360,000.00 house, paying 10% down, and financing the rest at 2% interest for 20 years. A. What is the monthly payment? Emma has a payment of __?__a month. How much interest will be paid over the life of the loan? Emma will pay __?__ in interest over the life of the loan.
Suppose that you need $30,000 for your last year of college. You could go to a private lending institution and apply for a signature student loan; rates range from 7% to 14%. However, your Aunt Sally is willing to loan you the money from her retirement savings, with no repayment until after graduation. All she asks is that in the meantime you pay her each month the amount of interest that she would otherwise get on her savings (since she needs that to live on), which is 4%.What is your monthly payment to her, and how much interest will you pay her over the year (9 months)?(Fill in the blanks below and give your answers as whole numbers.)The amount of interest per month you would pay Aunt Sally is $__(1)__ .The total interest you will pay her over the year (9 months)is $__(2)__ .
Jessica charges $8500 to a credit card with a 15.54% interest rate. (a) If Jessica makes a payment of $185.56 each month, how many payments will it take to retire the balance? (b) If Jessica doubles the payment to $371.12, how many payments will it take to retire the balance? (c) If Jessica pays $371.12 each month instead of $185.56, how much will she save in interest charges? (a) It will take payments to pay off the debt. (Round up to the nearest integer as needed.)
Ms. Khan is preparing for her daughter's future wedding expenses. Her daughter is currently 15 years old, and Ms. Khan estimates that she will need $80,000 for the wedding when her daughter turns 23. (a) How much will she have to set aside today if the annual interest rate is 5% and the bank compounds it quarterly? (b) How much will she have to set aside today at the same rate if the bank compounds it daily? (c) Explain the difference in your answers above.
Jessica purchases a house for $350,000 and takes a mortgage for the full amount. Her mortgage charges 5% per year and interest is compounded monthly. She will repay the loan over 25 years with equal monthly payments. a) What is her monthly payment amount? b) How much of the 8th payment would be applied toward interest? c) How much of the 8th payment would be applied toward principal?
Jessica purchases a house for $323,000 and takes a mortgage for the full amount. Her mortgage charges 6.75% per year and interest is compounded monthly. She will repay the loan over 25 years with equal monthly payments. a) What is her monthly payment amount? b) How much of the 8th payment would be applied toward interest? c) How much would be the payoff amount if the mortgage is to be paid at the end of year 2 (i.e., before the 24th payment is made)?
Jeff has a credit card balance of 100,000. The annual effective interest rate on the credit card is 18%. He takes out a loan from a loan shark with an annual effective interest rate of 8% to pay off his credit card balance. How much does this strategy save Jeff if he pays off the loan in full with a single payment after 18 months?

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