Assume you are to receive a 5-year annuity with annual payments of £1,000. The first payment will be received at the end of Year 1, and the last payment will be received at the end of Year 5. You will invest each payment in an account that pays 9% compounded annually. Although the annuity payments stop at the end of year 5, you will not withdraw any money from the account until 10 years from today, and the account will continue to earn 9% for the entire 10-year period. What will be the value in your account at the end of Year 10 (rounded to the nearest pound)? a. £9,208 b. £10,037 c. £16,560 d. None of the above

Q: Suppose today is January 1, 2024 and you are given two options: a. an annuity that pays you 1000…

A: Present value is the estimation of the current value of future cash value which is likely to be…

Q: You decide to make annual deposits of $300.00 for 12 years into an account which pays 5% compounded…

A: Annual deposits = $300 Time duration = 12 years Interest Rate = 5%  The future value of the annuity…

Q: To find the value of an annuity due, you will multiply the value of the ordinary annuity by…

A: Present value is the current worth of the future payments that are to be received. As per time value…

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: You are considering a sales job that pays you on a commission basis or a salaried position that pays…

A:

Q: How much should you be willing to pay for an annuity that begins in 3 years and pays $100 dollars…

A: The monthly discount rate, expressed as a percentage, is an important financial measure used to…

Q: What are the monthly payments you will receive if your retirement nest egg of $ 1,000,000 is in a 5%…

A: Present valueof the retirement Amount $ 10,00,000.00Interest rate5%Tenure, years20Compounding…

Q: You would like to have $8,000.00 in 15 years for a special vacation following graduation by making…

A: Using the PMT function in excel

Q: Suppose you invest in an annuity that pays 6% interest, compounded annually. You contribute $4,500…

A: Given information: Annuity payment is $4,500 Interest rate is 6% compounded annually Number of years…

Q: You have just won the lottery and took a lump sum payout. After talking with a financial adviser you…

A: Present value of $16,000: Present value: $376,205.407024

Q: You deposit $3,000 at the beginning of every year for 30 years into an investment that earns 8.5%.…

A: Periodic deposit, A = $3,000  Interest rate, r = 8.5%  Period, n = 30 years    The future value of…

Q: Determine the size of your investment account 30years from now (when you plan to retire) if you…

A: Future value of annuity , FV= P * ( (1+r)^t -1) /rwhere P =$12,000r=0.10t=30 yearsFV =?

Q: Assume that you make monthly payments of $ 750 into an ordinary annuity paying 4% compounded…

A: The time value of money concept will be used and applied here. Ordinary annuity means annuity or the…

Q: You are considering investing $1,000 in a bank term deposit for 6 years. The term deposit will pay…

A: Solution: An amount invested somewhere, earns interest on it.  The amount initially deposited is…

Q: You want to purchase an annuity on your 30th birthday to provide you with $15,000 semiannual annuity…

A: present value of annuity we need to calculate  pv = 15000[1/0.05 - 1/0.05(1+0.05)40]       =…

Q: How much would you be willing to pay today for an ordinary annuity that makes equal annual payments…

A: An ordinary annuity is the series of an equal payment that is paid or received at each week, month,…

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: You invest in an ordinary annuity $3,000 annually at 7% annual interest. What is the future value of…

A: Given:  Amount = 3000 r = 7% n = 5 years

Q: What will be the value in your account at the end of Year 30?

A: Future Value of Annuity: It represents the future worth of the annuity payments made for a given…

Q: An annuity offers $1,000 for 10 years. If you can earn 12 percent annually on your funds, what is…

A: Annuity Amount = $1,000 Years(n) = 10 Interest Rate(r) = 12% Present Value of Annuity =…

Q: Lidia deposits $700 at the END of each year for 8 years in a savings account. The account pays 12%…

A: In finance, the term annuity represents a stream of cash flows that contain an equivalent periodic…

Q: You bought an annuity selling at $17,390.08 today that promises to make equal payments at the…

A: Present value of annuity (PV) = $17,390.08 Interest rate (I) = 5% Period (N) = 8 Years Annual…

Q: You plan to deposit $200 at the end of every six months for 8 years starting at the end of month 6.…

A: Answer: Calculation of the amount that will be available to withdraw at the end of year 15: The…

Q: a) You deposit $200 monthly into an annuity with the goal of accumulating $180,000 after 30 years.…

A: “Since you have posted multiple questions, we will provide the solution only to the first question…

Q: You have decided to start a savings plan for your retirement. You plan to make an annual deposit of…

A: The objective of the question is to calculate the future value of a series of annual deposits of…

Q: Your pension plan is an annuity with a guaranteed return of 4% per year (compounded quarterly). You…

A: Formula for Calculating Future Value = PMT [(1+i)n - 1] / i Here, PMT = 1600              i    =…

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

A: Annuity refers to the series of payments at regular intervals over a period of time. Future value of…

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.