In return for payment of P5000 at the end of 4 years and P8500 at the end of 9 years, a man agrees to pay P1000 at once and P3000 at the end of 6 years and two equal payments at the end of 8 years and 10 years, respectively. Find how much each payment is if money is worth 18% compounded semi-annually.

Q: Mr. Padilla agrees to pay P1,300.00 at the end of each month for 20 years, in purchasing a house.…

A: The PV of an asset refers to the value of all its future cash flows discounted at an assumed rate of…

Q: A person buys a piece of lot for 100,000 pesos down payment and 10 deferred semi-annual payments of…

A: Quantum and timing of cash flows emanating from an investment decision are known. The present worth…

Q: Nina buys a piece of lot for P30,000 down payment and 8 deferred semi-annual payments of P 5,000…

A: Annuity: A contract between you and another party known as an annuity obligates the borrower to pay…

Q: A DIVORCE SETTLEMENT OF $40.000 IS PAID IN 40 MONTHILY PAYMENTS OF S1000 EACH, WHAT IS THE PRESENT…

A: Present Value of annuity =  P * {1-[1/(1+r)^n]/r} Where, P = Periodic payment  i.e. 1000 r =rate of…

Q: a) What is the present worth ofequal payments of $25,000 made semi-annually (i.e., twice every year)…

A: Semi annual payment (P) = $25,000 Interest rate = 8% Semi annual interest rate (r) = 8%/2 = 4%

Q: What is the future value of the annuity stream, if the frequency of compounding is 2 times per year?

A: Future Value of Annuity: It refers to the future worth of the periodic payments made at the end of…

Q: Php 25 000 is deposited every 3 months for 3.5 years at 10% compounded monthly, what is the future…

A: Quarterly deposit (D) = Php 25000 Interest rate = 10% Quarterly interest rate (r) = [1+(0.10/12)]3-1…

Q: What is the present value of an annuity that pays $58 per year for 13 years and an additional $1,000…

A: We can make use of the financial calculator to obtain the present value, PV. Inputs: I/Y = rate =…

Q: Pedro bought a new car today from Barboncito Motors.  The former proposed to pay the latter the…

A: EMI or monthly mortgage payments are the fixed amount paid by the borrower to the lender that…

Q: The annual effective rate is 5%. An annuity is paid continuously at a rate of P pounds per month.…

A: The idea of the time value of money (TVM) holds that a quantity of money is worth more now than it…

Q: In return for a loan, Mr. Domingo promises to pay P15,000 at the end of each 3 months for two years.…

A: Amount repaid quarterly is P15,000 Time period is two years Interest rate s 10% converted quarterly…

Q: The future value of an anjuity at the end of ten years is 80000, the payments are made at the end of…

A: The future value of the annuity is the total value of all the payments which is occurred regularly…

Q: A man bought a lot worth P2424737 if paid in cash. By installment, he paid a down payment of…

A: Total Amount to be paid = P2424737 Down Payment made = P250000 Net Amount Payable = P2424737 -…

Q: Suppose you are a beneficiary designated to immediately receive ₱9201 each year for 7 years, earning…

A: in the given question the first payment will be received today. therefore, future value can be…

Q: Graham buys a piece of lot for P 200,000 down payment and 10 deferred semi- annual payment of P…

A: Down payment = P 200,000 Semi annual payment = P 8000 First payment period = 3 Years Number of…

Q: A man purchases a lot worth 5M if paid in cash. On installment basis, he paid P800,000 down payment,…

A: Data given: Lot worth = P 5M = P 5000000 Down payment = P800,000 Loan amount = P 5000000 - P 800,000…

Q: A man paid 10% down payment of P200,000 for a house and lot and agreed to pay the balance on monthly…

A: Given: Particulars Amount Down payment            200,000 Down payment rate 10% Monthly…

Q: Show Solution. Topic: Perpetuities 3. What is the present value of P746 perpetuity payable at the…

A: Perpetuity is a series of cash payments for unstipulated time but periodic payment begin on a…

Q: Pedro, who deposited P500,000.00 today  with a financial Institution M, agreed with the latter that…

A: Monthly interest rate = Annual interest rate / Number of months in a year = 8%12 = 0.666666667%…

Q: We receive 50 beginning of each month for a term of n-years. We wish to replace it with an annuity…

A: Annuity payments are the series of the uniform constant payments that are to be received at the end…

Q: An old man buys a piece of lot for 150,000 down payment and 12 deferred semi-annual payments of 8500…

A: A study that proves that the 1value of money today is higher than the future value of money is term…

Q: The effective rate of interest is 6% per annum. An annuity is payable annually in arrears for 25…

A: The amount that a present investment will gain in value over time when kept in a compound interest…

Q: You expect to make equal payments of $3460.00 at the end of each semi-annual period over the next 3…

A: We need to use the concept of time value of money to solve the question. According to the concept of…

Q: I owe Php 50,000 which is due without interest at the end of 2 years. What should my creditor be…

A: As per the time value of money concept, individuals prefer to receive a sum of money at the earliest…

Q: Find the annual payment for the 6 years if a house cost P 400,000.00. Mr Killua will pay S90,000…

A: Installment is the amount of equal periodic payment a borrower has to make to lender in order to pay…

Q: How much in each of the quarterly installments if rate of interest 10% compounded bi-monthly?

A: A stream of equal cash flows paid or received periodically is termed as annuity. Annuity is either…

Q: Calculate the future value for this annuity if interest is compounded semi-annually and Calculate…

A: Future value of an investment refers to the sum total value of account at a specified future date…

Q: Mr CJ needs a financial product to provide cash in the future: R10 000 at the end of the first year;…

A: Cash payment today is present value of future cash flow that is to be received in the future that is…

Q: 1. Find the present value of an annuity of P33,000 payable at the end of each year if the first…

A: Given: Year Amount 1 0 2 0 3 P33,000 4 P33,000 5 P33,000 6 P33,000 7 P33,000 8…

Q: In buying a farm worth P 300,000, the purchaser agrees to pay a down payment of P 80,000 and a…

A: Data given: Cost= P 300,000 Down payment= P 80,000 Second payment at the end of 2 years= P 60,000…

Q: A company needs to buy an annuity package that will provide a future income to an individual over a…

A: Annuity amount, A1 = £4,421 Period, n1 = 13 years Interest rate per period, r1 = 4.0% The present…

Q: A woman paid 20% down payment of P300,000 for a house and lot and agreed to pay the balance on…

A: given, price = p300,000 downpayment = 20% r=15% m=12 (monthly compounding) pmt = p 33,396.51

Q: a certain loan was arranged such that Dino will pay ₱5,500 every month for the first 7 months; no…

A: Present value, usually referred to as discounted value, seems to be a financial computation that…

Q: has been bought by an individual. -annually, eight times a year for 1 payment. If the payment is to…

A: In this we have to calculate the interest rate for period and find out future value.

Q: After finding a cure for the Empress, Atreyu receives an annuity that pays 622.34 at the end of each…

A: The fixed regular periodic payments made indicate an annuity. Some examples of annuities from…

Q: Someone needs to buy an annuity package that will provide a future income to an individual over a…

A: Annuity refers to a stream of constant periodic cash flows. Here the cash flows are occurring at the…

Q: A person buys a piece of property for P100,000 down payment and ten deferred semi-annual payments of…

A: The concept of the time value of money states that the current worth of money is more than its value…

Q: Iris expects to receive $1,000 at the end of each of the next three years. She will deposit these…

A: Payments = 1000 Semi Annual Compounding, Time Period = 3 years * 2 = 6 semi annual periods Interest…

Q: A man pays 1.5% interest on his loan four times a year. Find the effective annual interest rate. 5.…

A: “Hi There, Thanks for posting the questions. As per our Q&A guidelines, must be answered only…

Q: A man purchases a lot worth 5M if paid in cash. On installment basis, he paid P800,000 down payment,…

A: Cost = P5,000,000 Down payment = P800,000 Payment at year end = P900,000 Payment at third year end =…

Effective Interest Rate

The term interest rate can be defined as the amount that is charged by the lender as a percentage on the principal amount. Interest rate which is charged annually is known as annual percentage rate.