(1) A 10-year loan of 30,000 may be repaid under the following two methods: (a) amortization method with equal annual payments at an annual effective interest rate of 7.5%. (b) sinking fund method in which the lender receives an annual effective interest rate of 9% and the sinking fund earns an annual effective interest rate of j. Both methods require a payment of X to be made at the end of each year for 10-years. Calculate j.

(1) A 10-year loan of 30,000 may be repaid under the following two methods: (a) amortization method with equal annual payments at an annual effective interest rate of 7.5%. (b) sinking fund method in which the lender receives an annual effective interest rate of 9% and the sinking fund earns an annual effective interest rate of j. Both methods require a payment of X to be made at the end of each year for 10-years. Calculate j.

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.
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 student loan is offered under the following conditions: credit of 30, 000 euros at 3% over a period of 6 years contracted on June 1, 2020; no repayment or interest payments for 2 years; The re-payment is provided in 4 constant annual instalments paid on June 1st for the following 4 years. a) Calculate the constant annuities of this credit. b) Draw the amortization table Years (payment in June) Principal repaid Interest paid Annual payments outstanding capital
A loan of $ 10,000 is amortized by equal annual payments for 30 years at an effective annual interest rate of 10 % Determine the year in which the interest portion of the payment is most nearly equal to one-half of the payment. The year that the interest portion of payment is most nearly equal to one-half of the payment= ?
Use the sinking fund formula shown to the right to determine the semiannual payments with 8% interest are compounded semiannually for 4 years to accumulate $24,000.
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~
Please no excel. Thanks An 18-year loan of 21,000 may be repaid under the following two methods: amortization method with equal annual payments at an annual effective rate of 6.1% sinking fund method in which the lender receives an annual effective rate of 6.450% and the sinking fund earns an annual effective rate of j. Both methods require payment of X to be made at the end of each year for 18 years. Calculate j. Round your answer to one decimal place
The following is an amortization schedule for a loan of $5000 to be repaid over two years at 7% compounded semiannually (depicted below in the table). Find the value of A, B, C, and D.
A lump sum S deposited into either fund X or fund Y will be exactly sufficient to provide a perpetuity of $100 per year with the first payment due at the end of one year. Fund X will earn interest at an effective annual rate of 10% for the first 30 years and 6% thereafter. Fund Y will earn interest at a level effective annual rate of j. In which of the following ranges is j? someone help?
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
Determine the annual payment on a OMR 500,000 and 12 percent business loan from a commercial bank that is to be amortized over a five year period.
Use the accompanying sinking fund formula to determine the payment needed to reach the accumulated amount. Semiannual payments with 7% interest are compounded semiannually for 7 years to accumulate $18,000

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