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Future Value of Annuity:
- It represents the future worth of the present annuity cash flow stream and is computed by compounding these cash flow streams by an appropriate interest rate.
Information Provided:
Annuity payment = $105,000
Interest rate = 6% compounded annually
No. of payments = 10
Step by step
Solved in 3 steps
- First Time Value of Money Homework i Help Save & Exit Submit 13 Mary is going to receive a 31-year annuity of $9,600 per year. Nancy is going to receive a perpetuity of $9,600 per year. If the appropriate interest rate is 9 percent, how much more is Nancy's cash flow worth? Note: Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16. 10 Present value Book Prent Reterences: Present valueIf you owe $47,000 payable at the end of five years, what amount should your creditor accept in payment immediately ifse cou earn 8 percent on her money? Use Appendix B for an approximate answer, but calculate your final answer using the formula and financial calculator methods. (Do not round intermediate calculations. Round your final answer to 2 decimal places.) Présent value eBook Hint ant Reterenc PV=F 47,0Calculate the principal portion of the second payment on the required on an amortized loan annual interest rate of 8.25% for 20 years. finance the purchase of a new home priced at $99,757.57 assuming the O A. $165.30 O B. $174.17 OC. $175.30 O D. $164.17 Click to select your answer. tUs /- MacBook Air 888 F4 14 F7 F1 F3 FS F6 II 4) F9 F10 F11 @ 2$ 4 23 & 2 6. 0. R Y P. S D F H. J K B alt command +
- Answer Part A, B, B(i), B(ii), C of this textbook question that deals with the application of Time Value of Money(a) You have won a lottery worth $1,000,000. The amount will be paid to you in equal installmentsover 20 years. If the interest rate is 10% compounded annually, how much will you be paid atthe end of each year?b) You are planning to buy a car worth $20,000. Which of the two deals described below wouldyou choose, both with a 48-month term? (NB: estimate the monthly payment of each offer).i) the dealer offers to take 10% off the price, then lend you the balance at an annualpercentage rate (APR) of 9%, monthly compounding.ii) the dealer offers to lend you $20,000 (i.e. no discount) at an APR of 3%, monthlycompounding.(C) You have just joined the investment banking firm of Todd & Co. They have offered you twodifferent salary arrangements. You can have $75,000 per year for the next two years, or youcan have $55,000 per year for the next two years, along with a $30,000 signing…Kevin deposits $856.89 each quarter into an annuity account for his child's college fund in order to accumulate a future value of $75,000 in 16 years. How much of the $75,000 wilI Kevin ultimately deposit in the account, and how much is interest earned? Round your answers to the nearest cent, if necessary. Formulas 中 Answer(How to Enter) Keypad Present Value Formula Keyboard Shortcuts A PV = (1+) nt Annuity Formula for Finding Future Value nt FV = PMT . Annuity Formula for Finding Payment Amounts PMT = = FV . nt Prev NextA lottery winner will receive $1 million at the end of each of the next twelve years. What is the future value (FV) of her winnings at the time of her final payment, given that the interest rate is 8.1% per year? A. $19.09 million B. $30.54 million C. $26.73 million D. $15.27 million
- Problem C-1A (Algo) Calculate the future value of a single amount (LO C-2) Alec, Daniel, William, and Stephen decide today to save for retirement. Each person wants to retire by age 70 and puts $9,200 into an account earning 9% compounded annually. (FV of $1, PV of $1, FVA of $1, and PVA of $1) (Use tables, Excel, or a financial calculator. Round your answers to 2 decimal places.) Required: Calculate how much each person will have accumulated by the age of 70. Answer is complete but not entirely correct. Current Person Age Initial Investment Accumulated Investment by Retirement (age 70) Alec 60 $ 9,200 $ 21,804.00 Daniel 50 9,200 51,520.00 William 40 9,200 122,084.00 Stephen 30 9,200 288,972.00which one is correct please confirm? QUESTION 29 If you invest $10,000 in a 4-year certificate of deposit (CD) paying 10 percent interest compounded annually, determine how much the CD will be worth at the end of 4 years. a. $15,958 b. $45,730 c. $13,600 d. $14,640solve parts C and D a) Barney Rubble expects to retire in 10 years and would like to accumulate £100,000 in his pension fund. If the annual interest rate is 6% (Annual Percentage Rate), how much should Barney put into his pension fund each month in order to achieve his goal? (Assume that Barney will deposit the same amount each month.) b) As winner of a lottery, you can choose one of the following prizes: (i) £100,000 now (ii) £180,000 at the end of 5 years (iii) £12,000 every year forever If the interest rate is 12%, which prize is the most valuable? c)You decide to pay on your bank account £1,000 every year for the next 10 years, starting today (total of 10 annual payments of £1,000). Five years after the last payment, you decide to withdraw £1,000 every year for 10 years. If the annual interest rate is 5%, how much money do you have left on your bank account right after the last withdrawal? c) You decide to pay on your bank account £1,000 every year for the next…
- Choose the best answer Compute the future value in year 5 of a $2,000 deposit in year 1 and another $2,500 deposit at the end of year 3 using a 6% interest rate. a. $5,333.95 b. $5,653.99 c. $5,850.00 d. $6,022.02help with this requirement Scenarios\\n $8,550 per year at the end of each of the next six years\\n $42,000 (lump sum) now\\n $99,850 (lump sum) six years from nowYour grandfather would like to share some of his fortune with you. He offers to give you money under one of the following scenarios \\n1. $8,550 per year at the end of each of the next 6 years\\n2. $42,000 (lump sum) now\\n3. $99,850 (lump sum) 6 years from now Calculate the present value of each scenario using 6% discount rate.5-21 EVALUATING LUMP SUMS AND ANNUITIES Kristina just won the lottery, and she must choose among three award options. She can elect to receive a lump sum today of $62 million, to receive 10 end-of-year payments of $9.5 million, or to receive 30 end-of-year payments of $5.6 million. a. If she thinks she can earn 7% annually, which should she choose? b. If she expects to earn 8% annually, which is the best choice?