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- If Bergen Air Systems takes out a $100,000 loan, with eight equal principal payments due over the next eight years, how much will be accounted for as a current portion of a noncurrent note payable each year?A loan of £10,000 is repaid in 5 years with quarterly payments made in arrears. The initial payment is of amount P and subsequent payments increase at the end of every year by 2% p.a. compound. The interest rate is 6% p.a. effective. (a) Find the value of P. (b) What is the outstanding balance at the start of the final year? (c) What is the interest component of the first payment in the final year?A loan of £4,000 is to be repaid over 5 years by a level annuity payable monthly in arrears. The amount of the monthly payment is calculated on the basis of an interest rate of 1% per month effective. Find a) The interest paid in the first month b)The repaid capital c)In the last month, the interest paid and the capital repaid
- A loan is to be repaid by an annuity payable monthly in arrears over a 5-year period. The annuity starts at a rate of £200 per month and increases each month by £5. Repayments are calculated using a rate of interest of 8% per annum effective. (i) Calculate the amount of the original loan to the nearest £. (ii) (iii) Calculate the capital outstanding at the end of the first year (after the payment due has been made) to the nearest £0.01. Hence, or otherwise, calculate the capital and interest components of the 13th and 14th payments.A loan of £4,000 is to be repaid over 5 years by a level annuity payable monthly in arrears. The amount of the monthly payment is calculated on the basis of an interest rate of 1% per month effective. Find the total capital repaid and interest paid in the first and last month, respectively. Answer: The interest paid in the first month is a) £4000x1.01= £4040 b) £4000x(1-exp(-0.01))=£39.807 c)£4000x0.01= £40 d)£4000x0.12= £480 The repaid capital is a)£0.535 b)£48.9778 c)£49.1771 d)£587.734 In the last month, the interest paid is a)£ 0.00535 b)£0.489778 c) £0.889778 d)0.491771 In the last month, the capital repaid is a)£479.645 b)£431.358 c)£88.088 d)39.8007 They are multiple-choice questionsSet up an amortization schedule for a Rs 100,000 loan to be repaid in equalinstallments at the end of each of the next 5 years. The interest rate is 10%compounded annually. b. What percentage of the payment represents interest and what percentage represent principal for each of the 5 years? Why do these percentages change over time?
- A loan of £70,000 is repaid in 18 annual instalments of £6,400,with the first repayment due in one year.What is the interest rate?A loan of £ 2,120,000 is repayable by equal quarterly payments for 15 years. The effective rate of interest is 6% pa. iv. What is the total interest paid after the 25th payment?v. What is the amount of capital portion in the 54th payment?2. Find the semiannual payments to repay a debt of P100,000 in 5 equal payments with interest at 12% compounded semiannually, the first of these payments to start one year after the loan is made. Construct an amortization schedule.
- A loan of £ 2,120,000 is repayable by equal quarterly payments for 15 years. The effective rate of interest is 6% pa.i. Find the equal quarterly payment amount.ii. Draw the amortization schedule for the loan repayment.iii. What is the interest portion paid on the 10th payment?A loan of £97,550 is repayable by an annuity payable annually in arrears for 17 years. After the first repayment instalment, subsequent repayment instalments are to be increased by £300 each year. The repayment instalments were calculated using a rate of interest of 5.3% per annum effective. (i) Calculate, to 2 decimal places, the amount of the first repayment instalment: (ii) Calculate, to 2 decimal places, the loan outstanding after the first 10 payments: £ (iii) Immediately after the 10th repayment instalment, the interest rate on the outstanding loan is increased to 6.7% per annum effective and future instalments are kept level, equal to the instalment amount paid at the end of the 10th year. (a) Calculate the adjusted remaining term of the new loan (in whole years): (b) Calculate, to 2 decimal places, the amount of repayment (X) made in the final year: £A loan of R5000 is to be amortised over thirteen years by regular equal quarterly payments starting three months after the loan is granted. Interest on the loan is charged at 12,8% p.a compounded quarterly. Immediately after the fourth payment, the interest rate changes to 13% p.a. compounded quarterly. If the payments remain unchanged from the fifth payment onwards, then the new final amount ( to the nearest cent) needed to amortise the loan in the original time period, is equal to R