Assume that you borrow 50,000 JPY under the system of 5% yearly compound interest. (1) If you repay annually in the plan of principal equal payment and pay off at the 10th repayment, calculate the total amount of all 10 repayments. (2) If you repay annually 8,000 in the plan of total (principal and interest) equal payment, you will pay off at 8th payment. How much is your final(8th) payment ? (1) (2)

Q: A loan was to be amortized by a 5 end-of-year payments forming an ascending arithmetic progression.…

A: Here, First Payment is P 10,000 Increase in Payment is P1,000 Interest Rate is 10% Time Period of…

Q: Senyor Pigafetta borrowed today from Ginoong Lapulapu P300,000.00 and agreed to repay the loan with…

A: Loan amount (p) = P300,000.00 Monthly interest rate (r) = 0.01 (i.e. 0.12 / 12) Number of payments…

Q: Assume an interest rate of 8%. You borrow $10,000 to be repaid in seven equal annual end-of-period…

A: Deferred annuity is the regular series of payments or receipts that last over a specific period of…

Q: Find the value of an ordinary annuity if payments are made in the amount of R and interest is…

A: Annuity means regular payments or receipt of the same amount at the same interval period. Future…

Q: Find the semiannual payments to repay a debt of P100,000 in 6 equal payments with interest at 10%…

A: A loan is a debt amount borrowed by one person from another person at a predetermined financial…

Q: Find the amount of an annuity that consists of 20 quarterly payments of $700 each into an account…

A: The future value function or concept can be used to determine the future value of a present sum or…

Q: 3. Don Magellan borrowed today from Ginoong Lapulapu P300,000.00 and agreed to repay the loan with 4…

A: Loan amount (PV) = P300,000 Number of monthly payments (n) = 4 Interest rate = 12% Monthly interest…

Q: A 10-year annuity-due with quarterly payments has a first payment of 1000. The next five payments…

A: First payment = $ 1000 Next 5 payments = $ 1000 Growth rate in payments after 6 payments = 5.06%…

Q: (Exercise 4.38) A perpetuity provides payments every 4 months starting today. The first payment is 1…

A: The present value of a perpetuity can be calculated using the formula:Present Value = Payment /…

Q: You borrowed $10000 with an interest rate of 12%. The loan is to be repaid in equal monthly payments…

A: Borrowings are the liability that is used to finance the requirement of the funds. The borrower…

Q: Assume that you make quarterly payments of $ 575 into an annuity paying 6% interest compounded…

A: Variables in the question:PMT=$575 (quarterly payment)Rate=6% (compounded quarterly)N=12 years

Q: A person borrows 10,000 at an interest rate of 8% per year and wishes to repay the loan over a…

A: As per the given information: The amount borrowed - 10,000 Interest rate - 8% per year Loan period -…

Q: (using ordinary general annuities) Convert an annuity with quarterly payments of $ 20,000 to one…

A: The regular periodic payments made at each periodic interval indicate the annuity payments. The…

Q: What is the present value of receiving $1,000 at the end of each year for 6 years, assuming 7%…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: An ordinary annuity paying P1,811 at the end of each year for 15 years, is to be converted to an…

A: given, ordinary annuity: A=p 1811 n =15 r=10%

Q: Construct the Annuity Savings Model that satisfies: (a) The initial balance is $800, and each month…

A: Annuity Savings Model Balance at end of month = [Balance at beginning of month T-1 * (1+Interest%) +…

Q: Assume that you make quarterly payments of $ 750 into an annuity paying 5% interest compounded…

A: Future value refers to an amount of the current asset at some future date. It is helpful in…

Q: If you want to be paid from a 14 year ordinary annuity with a guaranteed rate of 2.208% compounded…

A: In finance, the term annuity represents a sequence of cash flows that contain a fixed payment at…

Q: a) Compute the present value of an annuity immediate that pays £100 at the end of each month for 5…

A: Annuity refers to a sum of fixed and periodic cash flows. To compute the present value of an annuity…

Q: Castor borrowed today from ChuChu P100,000.00 and agreed to repay the loan with 3 equal monthly…

A: Amortization table is a representation of the breakup of the amount paid towards principal and…

Q: The interest rate on a $6400 loan is 7% compounded semi-annually, and the loan is to be repaid by…

A: Here, To Find: Number of months required to settle the loan =? Amortization schedule =? Total…

Q: For $5,000, you can purchase an ordinary annuity that will pay you $920.23 each year for 8 years.…

A: The annuity is the periodic payment received in each period. The present value is the discounted…

Q: If 5 deposits of $600 each are made into an account at the end of years 9, 10, 11, 12, and 13, what…

A: Deposit in year 9,10,11,12 and 13 = $ 600 Future value period = Year 25 Annual interest rate = 12%

Q: You borrow ksh 1,000,000 from a bank for 5 years at 10% compound interest .The loan is repayable in…

A: Present value (PV)= 1,000,000 Time (t)= 5 years Rate (r)= 10% = 0.1   The present value is how much…

Q: Consider a loan of $88,000 at 4% compounded annually. (a) the payment necessary to amortize the loan…

A: When we take a loan we make periodic payments towards that loan.   The periodic payments will…

Q: A loan of $10200 is to be amortized with quarterly payments over five years.  The interest on the…

A: Amortization of a loan refers to the process of gradually paying off the loan debt over a specific…

Q: Suppose you borrow $70,000 at 5.25% annual interest to be repaid with a fully amortized plan over 14…

A: Annual payment (P) on a loan (PV) of $70,000 at an interest rate ( r ) of 5.25% and for 14 years (n)…

Q: 0) (Annuity) Payments of $400 are to be made at the beginning of each quarter for 5 years orth 8%…

A: The future value of annuity is the amount accumulated over the time and amount of interest being…

Q: 9) A retirement gratuity of $123 900.00 is invested in annuity deferred for 10 years. The annuity…

A: The present value of an annuity is the current worth of a cash flow paid/received at the begging of…

Q: 5) You are considering buying a Chevy Cruze. The sticker price is $15,000 and you have $2,000 to put…

A: Car price = $15,000Down payment = $2,000Interest rate = 10%Number of years = 5 years

Q: For a repayments schedule that starts at the end of year 5 at $A and proceeds for years 6 through 40…

A: A loan is a type of borrowing that is taken from a financial institution by a borrower and the…

Q: You have borrowed OMR 12,000 today at 4.5% rate of interest per annum from National Bank of Oman.…

A: given, P = omr 12000 r= 4.5% n = 5

Q: If you want to be paid from a l13 year ordinary annuity with a guaranteed rate of 3.09% compounded…

A: The annuity refers to the series of payments or receipts that last over a specific period of time.…

Q: You will receive a cash payment of $7072 in 7 years. If the relevant interest rate is 19.89%, how…

A: Time Value of Money states that a dollar earned today is more valuable than any time in the future,…

Amortized Loans

The term "amortization" refers to spreading the value of a loan or a debt over a series of regular payments or installments comprising of both the principal and interest amount. It generally involves the process where in the value of a loan or an intangible asset is written down over its maturity period.