Mike buys a perpetuity-immediate with varying annual payments. The annual payment is $500 for each of the first 20 years, and is $200 thereafter. Given an annual effective interest rate of 5%, calculate

Q: Shawn purchases a retirement annuity that will pay him $1,000 at the end of every six months for the…

A: Present value of annuity Annuity is a series of equal payments at equal interval over a specified…

Q: Adam purchases a retirement annuity that will pay him $1,500 at the end of every six months for the…

A: Semi Annual Payment  $              1,500.00 Time Period (years) 8 Interest rate 4% Monthly…

Q: Andrea is depositing P4, 000 each month in an ordinary annuity that pays 2% interest compounded…

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: Janice and Terry Van Dyke have decided to establish a quarterly ordinary annuity of $8,000 for the…

A: Ordinary annuity refers to the periodic series of payments that an investor makes into an investment…

Q: Bill Jones plans to deposit $2100 at the end of every 6 months for the next 20 years into an annuity…

A: Calculation of the total value of the annuity at the maturity is shown below: Hence, the total…

Q: Laura purchases a retirement annuity that will pay her $2,500 at the end of every six months for the…

A: Present value of annuities will be the equivalent value of future cash flow to be received in the…

Q: Mike buys an annuity-immediate with varying annual payments for 30 years. During the first 5 years,…

A: Annuity is a series of regular payment after a regular period. There are two types of annuity; 1)…

Q: Hamad will receive the following payments at the end of the next three years: AED 40,000, AED…

A: Given: Year 1 cash flows = AED 40,000 Year 2 cash flows = AED 50,000 Year 3 cash flows = AED 65,000…

Q: Karen deposits 700 each month into an annuity that pays 12% annual interest at the end of each year.…

A: solution given Deposits each month (p) 700 Rate of interest (r) 12% Time period…

Q: ones can deposit $5,000 at the end of each 6-month period for the next 12 years and earn interest at…

A: a) Future value of annuity = P * [ (1+r)^n  - 1 ] /r  Where, P =Periodic payment i.e. $5000 n = no.…

Q: Walter deposits a fixed quarterly amount into an annuity account for his child's college fund. He…

A: Future value required (FV) = $ 80000 Interest rate = 3.7% Quarterly interest rate (r) = 3.7%/4 =…

Q: Stephanie purchased an annuity that will provide her with payments of $1,500 every month for 4…

A: monthly rate of interest = (1 + 4.25%/2)1/6 - 1 = 0.3511%

Q: When Jasmine retires she has $950,000 in a retirement account that earns 6% annual interest,…

A: Using PMT function in excel

Q: Jennifer invests $2,400 at the end of each year for 11 years in an ordinary annuity at 10% interest…

A: Periodic Payment = $2,400 Time Period = 11 Years Interest Rate = 10%

Q: Anna purchases a retirement annuity that will pay her $2,000 at the end of every six months for the…

A: A concept through which it is studied that the current worth of money is higher than its future…

Q: Mary buys a 20 year annuity immediate for $100,000 subject to 6% effective annual interest rate. The…

A: Total number periods in annuity are 20 Purchase price of annuity is $100,000 Effective interest rate…

Q: Kims savings may allow her to withdraw  50000 semi-annually for 5 years starting at the end of 5…

A: The saving accounts in the banks charge interest on a compounding basis. The compounding method of…

Q: Karen deposits 300 each month into an annuity that pays 8% annual interest at the end of each year.…

A: Future value of annuity =PMT [{(1+i) n-1}/i]*(1+i) Where i=periodic interest rate n=number of…

Q: open an annuity with $5,200.00 and makes monthly payments of $270.00 paid at the end of each month…

A: Hi There, thanks for posting the question. But as per Q&A guidelines, we must answer the first…

Q: To save money for his daughter's college tuition, Josh invests $279 every quarter in an annuity that…

A: Annuity means number of payments, which are equal in size and made at equal interval of time for a…

Q: Since the birth of his daughter, 17 years ago, Derek has deposited $150.00 at the beginning of every…

A: Here Derek is making paying at the beginning of the months, so this is annuity due. When payments…

Q: Connie wants to have an annuity payment of $2,250 at the END of every three months. How much should…

A: Present value of annuities will give what is cash amount to be paid today.

Q: Kenneth decides to put away an amount of R400,00 for 15 years, at the end of every month, towards a…

A: The present value of the annuity can be calculated using PV Function in excel. PV (rate, nper, pmt,…

Q: Peter deposits $75 at the end of each quarter for 15 years into an account that pays 3.14%…

A: Given data; payment amount= $75 number of years = 15 annual rate = 3.14% compounding frequency = 4…

Q: Randall will make deposits of $3,130 at the end of every year into an account earning 3.29%…

A: Ordinary General Annuity is the annuity when payment is made at the beginning or end of each month…

Q: Andrew has an annuity that pays 4.4% annual interest compounded monthly and at the end of each month…

A: We need to calculate future value of annuity for the above question Formula: FV=PMTi(1+i)n-1 Where,…

Q: Shelby purchases a retirement annuity that will pay her $3,000 at the end of every six months for…

A: Present value of the money would be price that maximum price that can be paid for that kind of…

Q: Frank plans to set aside money for his young daughter's college tuition. He will deposit money in an…

A: The Future Value of the Annuity refers to the sum value of all the payments which is occurred…

Q: Bill is the owner of an ordinary annuity that will pay him $12,000 at the end of each of the next…

A: solution Bill is the owner of an ordinary annuity that will pay him $12,000 at the end of each of…

Q: The terms of a single parent's will indicate that a child will receive an ordinary annuity of…

A: Interest, i=7%=0.07 p.a. Future value, S Ordinary annuity for 6 years, n=6 yearly payment, R =…

Q: In the following ordinary annuity, the interest is compounded with each payment, and the payment is…

A: It can be solved using NPER function in excel. =NPER(rate,pmt,pv,[fv],[type]) Rate The interest…

Q: As part of her retirement planning, Mrs. Smith purchases an annuity that pays 16 % compounded…

A: A theory that helps to compute the present or future value of the cash flows is term as the TVM…

Q: When Michelle retires in 12 years, she wants to receive $250.00 payments at the start o every month…

A: An annuity is the equal amount of payment that has to be paid over the period.

Q: Me. Cruz plans to deposit for the education of his 5 years old son, 500 at the end of each month for…

A:

Q: Mr. Hernandez wants to provide a series of 18 yearly allowance for his 1 yr old daughter starting at…

A: Period of first payment from now = 7 Years (i.e. 8-1 = 7 Years of age) Number of annual allowance =…

Q: Harry plans to deposit $3,000 at the beginning of each year into a savings account earning 2.75%…

A: The amount which is deposited at the beginning of each period is called as annuity due. The period…

Q: Manuel plans to set aside money for his young daughter’s college tuition. He will deposit money in…

A: Ordinary annuity is regular deposits at the end of each period. To calculate monthly deposits for a…

Q: Stephanie purchases a retirement annuity that will pay her $3,000 at the end of every six months for…

A: formula for annuity PVA=A×1-11+rmn×mrm where, r=rate of interest m =frequency of compounding A=…

Q: Your friend Demetrius has an annuity that pays 4.6% annual interest compounded monthly and at the…

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

Q: To ensure his retirement income, a 40-year old man plans to purchase annuity when he turns 65. The…

A: Monthly Annuity Payments = 7500 Time Period = 20 years * 12 = 240 months Interest % = 5%/12 End of…

Q: Samantha receives a 10,000 life insurance benefit. If she uses the proceeds to buy an n-year…

A: Life insurance benefit = Present value of annuity immediate = 10000 For n year annuity, annual…

Q: Aunt Tillie has deposited $33,000 today in an account which will earn 10 percent annually. She plans…

A: We need to calculate future value of investment by using this formula FV = PV(1+i)n where FV =Future…

Q: blake purchased an annuity that had an interest rate of 2.50% compounded semi- annually. it provided…

A: Solution- 2.50% interest rate semianually=2.52=1.25%=1.25100=1+r6-1=1+r=1.002072Monthly…

Q: Annette has just inherited $180,000. She invests this money at a rate of return of 6.47% per year…

A: Given: Present value $180,000 Rate 6.47% Another annuity $2,851 Years 20 Compounding…

Q: Jordan purchased an annuity that had an interest rate of 4.00% compounded semi-annually. It provided…

A: In this we need to calculate effective rate and than find out present value factor and from that we…

Q: Bob purchases an annuity that will pay him $10,000 a year for the next 15 years starting a year from…

A: Present Value of Ordinary Annuity refers to the concept which gives out the discounted or today's…

Q: Lisa purchased an annuity that had an interest rate of 3.00% compounded semi-annually. It provided…

A: The purchase price of an annuity corresponds to current worth of annuity payments that make investor…

Q: Frank plans to set aside money for his young daughter's college tuition. He will deposit money in an…

A: This is a case of ordinary annuity. It means that deposits are being made at the end of the relevant…

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.