A loan is being repaid by 15 annual instllments of 1000 each. Interest is at an effec- ive annual rate of 5%. Immediately after the fifth installment is paid, the loan is renegotiated. The revised amortization schedule calls for a sixth installment of 800, a seventh installment of 300 + K, with each subsequent installment increasing by K over the previous payment. The beriod of the loan is not changed. Determine the revised amount of the last installment.

A loan is being repaid by 15 annual instllments of 1000 each. Interest is at an effec- ive annual rate of 5%. Immediately after the fifth installment is paid, the loan is renegotiated. The revised amortization schedule calls for a sixth installment of 800, a seventh installment of 300 + K, with each subsequent installment increasing by K over the previous payment. The beriod of the loan is not changed. Determine the revised amount of the last installment.

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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The following loan is fully amortizing. The loan is for $12,000 at 5% interest to be repaid over three (3) years. Amortize this loan on a monthly basis. Calculate the interest portion of the fourth (4th) payment considering that an additional payment of $2,000 was made with the second payment.
Consider a loan of $7700 at 6.8% compounded semiannually, with 18 semiannual payments. Find the following. (a) the payment necessary to amortize the loan (b) the total payments and the total amount of interest paid based on the calculated semiannual payments (c) the total payments and total amount of interest paid based upon an amortization table. (a) The semiannual payment needed to amortize this loan is $ (Round to the nearest cent as needed.) (b) The total amount of the payments is $ (Round to the nearest cent as needed.) The total amount of interest paid is $. (Round to the nearest cent as needed.) (c) The total payment for this loan from the amortization table is $ (Round to the nearest cent as needed.) The total interest from the amortization table is $ (Round to the nearest cent as needed.)
The payment necessary to amortize a 4.9% loan of $86,000 compounded annually, with 4 annual payments is $24,196.70. The total of the payments is $96,786.80 with a total interest payment of $10,786.80. The borrower made larger payments of $25,000.00. Calculate (a) the time needed to pay off the loan, (b) the total amount of the payments, and (c) the amount of interest saved. a. The time needed to pay off the loan with payments of $25,000.00 is _____ years. (Round up to the nearest year.) b. The total amount of the payments is $______ (Round to the nearest cent as needed.) c. The amount of interest saved is $______. (Round to the nearest cent as needed.)
A floating rate mortgage loan is made for $120,000 for a 30-year period at an initial rate of 12 percent interest. However, the borrower and lender have negotiated a monthly payment of $960. Required: a. What will be the loan balance at the end of year 1? b. If the interest rate increases to 13 percent at the end of year 2, how much is the payment plus negative amortization in year 2 and year 5 if the payment remains at $960?
Joan Messineo borrowed $44,000 at a 6 percent annual interest rate to be repaid over three years. The loan is amortized into three equal annual end-of-year payments.a. Calculate the annual end-of-year loan payment.b. Prepare a loan amortization schedule showing the interest and principal breakdown of each of the three loan payments.c. Explain why the interest portion of each payment declines with the passage of time.
A loan in the amount of 300,000 is repaid with 20 end of year payments containing equal principal. The annual effective interest rate isi, and the total interest paid during the life of the loan is 250,000 . Just after the 10 th payment is made, the loan is renegotiated. There will now be 10 end of year payments ofXwith the annual effective interest rate remaining ati. Find the outstanding loan balance just after the 11th payment.
The payment necessary to amortize a 4.5% loan of $81,000 compounded annually, with 5 annual payments is $18,451.12. The total of the payments is $92,255.60 with a total interest payment of $11,255.60. The borrower made larger payments of $19,000.00. Calculate (a) the time needed to pay off the loan, (b) the total amount of the payments, and (c) the amount of interest saved. Thank you~
A floating rate mortgage loan is made for $190,000 for a 30-year period at an initial rate of 12 percent interest. However, the borrower and lender have negotiated a monthly payment of $1,520. Required: a. What will be the loan balance at the end of year 1? b. If the interest rate increases to 13 percent at the end of year 2, how much is the payment plus negative amortization in year 2 and year 5 if the payment remains at $1,520?
This questi Consider a loan of $7700 at 6.8% compounded semiannually, with 18 semiannual payments. Find the following. (a) the payment necessary to amortize the loan (b) the total payments and the total amount of interest paid based on the calculated semiannual payments (c) the total payments and total amount of interest paid based upon an amortization table. (a) The semiannual payment needed to amortize this loan is $ 545.94. (Round to the nearest cent as needed.) (b) The total amount of the payments is $ 9827.07 (Round to the nearest cent as needed.) The total amount of interest paid is $ 2127.07 (Round to the nearest cent as needed.) (c) The total payment for this loan from the amortization table is $ (Round to the nearest cent as needed.) The total interest from the amortization table is $ (Round to the nearest cent as needed.)
basic ARM is made for $220,000 at an initial interest rate of 6 percent for 30 years with an annual resetdate. The borrower believes that the interest rate at the beginning of year (BOY) 2 will increase to 7 percent. Required:a. Assuming that a fully amortizing loan is made, what will the monthly payments be during year 1? b. Based on (a) what will the loan balance be at the end of year (EOY) 1? c. Given that the interest rate is expected to be 7 percent at the beginning of year 2, what will the monthlypayments be during year 2? d. What will be the loan balance at the EOY 2 ? e. What would be the monthly payments in year 1 if they are to be interest only?
Prepare an amortization schedule for a five-year loan of $20,000 in its entirety. The interest rate is 8.2 percent per year, and the loan calls for equal annual payments.
A company borrowed an amount of 400,000 dinars for a period of four years at a compound interest at an annual rate of 5% and pledged to repay the loan and its interest together in equal installments, each of which pays the end of the loan period. Find the following: 1) the value of the fixed payment 2) the form of the loan amortization table rounded to the nearest dinar 3) Calculate the amount Paid after the second payment 4) Calculate the remaining amount after paying the third payment

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