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: 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 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: (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: 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: 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: 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: 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: 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: 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: 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.