a.
To calculate: the future value of
Introduction:
b.
To calculate: the future value of annuityof (b).
Introduction: Time value of money is the concept of finance which calculates the effect of time over the value of money. As per this concept, the present value of a future amount is lower than the future value. The present value/ future value of an amount are calculated using the interest rate as discount rate.
c.
To calculate: the future value of annuityof (c).
Introduction: Time value of money is the concept of finance which calculates the effect of time over the value of money. As per this concept, the present value of a future amount is lower than the future value. The present value/ future value of an amount are calculated using the interest rate as discount rate.
Want to see the full answer?
Check out a sample textbook solutionChapter 1 Solutions
Bundle: Personal Finance, Loose-leaf Version, 13th + MindTap Finance, 1 term (6 months) Printed Access Card
- Many persons prepare for retirement by making monthly contributions to a savings program. Suppose that $ 2,500 is set aside each year and invested in a savings account that pays 8% interest per year, compounded continuously. a. Determine the accumulated savings in this account at the end of 25 years. b. In Part (a), suppose that an annuity will be withdrawn from savings that have been accumulated at the EOY 25 The annuity will extend from the EOY 26 to the EOY 34 What is the value of this annuity if the interest rate and compounding frequency in Part (a) do not change? Click the icon to view the interest annuity table for continuous compounding when i=8% per yeararrow_forwardA student wants save for college which begins in four years. How much will the student save assuming equal deposits of $2,000 at the beginning of each year and 5% interest? Following are appropriate factors from tables: Table % / n Present Value of annuity due $1 Present Value of ordinary annuity of $1 Future value of annuity due $1 Future Value of ordinary annuity of $1 5%/4 3.72325 3.54595 4.52563 4.31013 Required Computation:arrow_forwardDetermine whether or not the following situation describes an annuity. If it is an annuity, determine whether the jackpot amount is the annuity's present value or future value. Also, determine whether it is an ordinary annuity or an annuity due.Sam won a lottery jackpot which will pay him $2250 every week for 20 years, starting immediately. Group of answer choices The situation describes a future value of an ordinary annuity. The situation describes a present value of an annuity due. The situation does NOT describe an annuity. The situation describes a future value of an annuity due. The situation describes a present value of an ordinary annuity.arrow_forward
- Samuel wants to make regular annual payments of size P dollars into an annuity that pays interest of an annual rate of 0.25 or 25%. He wants to have 1.5 times the invested amount in the account after 5 years. A) Determine the size, P of the required annual payment. B) Create a table and do a step by step calculation to verify your answer in part Aarrow_forwardComputing the Future Value of an Annuity Stone will deposit $8,250 at the beginning of each year for 10 years in a fund that earns 5%, compounded annually. What is the total amount of the fund at the end of 10 years? Round your answer to the nearest whole number. Do not use a negative sign with your answer. $ Answerarrow_forwardFind the amount and present value of an annuity of 440 payable every three months for 15 years and 3 months, if money is worth 5 ½%, m=4arrow_forward
- Find the periodic payments PMT necessary to accumulate the given amount in an annuity account. (Assume end-of-period deposits and compounding at the same intervals as deposits. Round your answer to the nearest cent.) $30,000 in a fund paying 5% per year, with monthly payments for 5 years, if the fund contains $10,000 at the start PMT = $ please round it to the nearest centarrow_forwardUse the formula for the value of an annuity to solve:To offer scholarship funds to children of employees, a company invests $15,000 at the end of every three months in an annuity that pays 9% compounded quarterly. a. How much will the company have in scholarship funds at the end of ten years? b. Find the interest.Round answers to the nearest dollar.arrow_forwardFind the periodic payments PMT necessary to accumulate the given amount in an annuity account. (Assume end-of-period deposits and compounding at the same intervals as deposits. Round your answer to the nearest cent.) $50,000 in a fund paying 3% per year, with quarterly payments for 20 years PMT= $ _______ ??arrow_forward
- Answer the Situation below correctly show your complete solution. A deposit of 120 000.00 Php is placed into a college fund at the beginning of every month for 10 years . The fund earns 9 % annual interest , compounded monthly , and paid at the end of the month . How much is in the account right after the last deposit ? a . The type of annuity illustrated in the problem is _____________________.b . The term is __________________.c . The number of conversion period is_____________________________.d . The interest rate per period is___________. e . The present value of the deposit is___________. (I just need the Solution) Answers: a. Simple Annuity; b. 10; c. 12; d. 0.075; e. 30 000.00 Phparrow_forwardIdentify whether the given problem illustrates a simple or general annuity and then solve. 3. On a girl’s 10th birthday, her father started to deposit ₽5,000 quarterly at the end of each term in a fund that pays 1 5 compounded monthly. How much will be in the fund on his daughter’s 17th birthday? 4. The buyer of a lot pays ₽50,000 cash and ₽10,000 every month for 10 years. if money is 8% compounded monthly, ho much is the cash value of the lot?arrow_forwardResearch annuities and calculate an annuity that pays you monthly (like a pension) for a 30 year period given starting capital of $500,000 and an average interest rate available on the money as a time deposit during the period of 3%.arrow_forward
- Intermediate Accounting: Reporting And AnalysisAccountingISBN:9781337788281Author:James M. Wahlen, Jefferson P. Jones, Donald PagachPublisher:Cengage Learning