have won the local lottery. You have been awarded a 41-payment, constant growth annuity. The first paument is at year 0 and is equal to 10,000. Each subsequent payment will be paid in 6 month intervals, with the final payment at year 20. Further, payments will grow at a constant growth rate of 4 percent. The appropriate discount rate for this constant growth annuity is a nominal annual rate of 6.4 percent, with monthly compounding

Q: given the situation , choose the correct formula to solve the problem: find the future value of an…

A: Future value of annuity = P * [ (1+r)^n  - 1 ] /r  Where P = Annuity amount i.e. $5000 r = rate of…

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: The future value is $ (Round to the nearest cent.)

A: Information Provided: Year of payments = 10 Payments = $33,000 Interest rate = 4%

Q: An investment is expected to result in equal payments of $9940.00 at the end of each quarter for the…

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

Q: Find the present value of the decreasing annuity necessary to fund a withdrawal of $100 per month…

A: Present Value:- It is the formula through which one can evaluate the worth of future income of the…

Q: After carefully exmaining your budget, you determine you can manage to set aside $350 per year. You…

A: Introduction: Future Value of Annuity Due: Future value: The value of an investment made today, with…

Q: of four $10,000 semi-annual payments will begin 5 years from now, with the first payment coming 5.5…

A: Value of annuity is the present value of annual payments to be received considering the interest…

Q: Find the present value annuity factor for a 13 year annuity whose annual rate is 4% with daily…

A: The PV of an investment refers to the combined worth of the cash flows of the investment assuming…

Q: Please explain how to solve this problem using the Financial Calculator buttons. Or formula a 5-year…

A: Information Provided: Semiannual payments = $6000 Period of annuity = 5 years Interest rate = 11%…

Q: The annually compounded discount rate is 7.0%. You are asked to calculate the present value of a…

A: Decisions can take risk and uncertainty into account when using present value. Greater uncertainty…

Q: find the present value of an annuity due

A: An Annuity is a series of payments of fixed amounts and at fixed intervals. These can be of two…

Q: PNC's 30-year annuity is scheduled to pay off a loan taken out today at a 5% annual effective…

A: given, year (n) = 30 rate = 5% first annuity at t=10, amount= $10,000 then annuity increase by $5000…

Q: The monthly compounded interest rate is 10%. What is the effective annual interest rate and what is…

A: Compound = n = Quarterly = 4Interest rate = r = 10%Cash Flow = cf = $100Time = t = 3 Years

Q: What is the present value of a 15 year annuity with the first payment of $65,000 (all payments are…

A: present value of a 15 year annuity with the first payment of $65,000 (all payments are the same…

Q: What is the present value of a ten year annuity whose payment will be $20,000 next year and then…

A: Time = t = 10 YearsPayment = p = $20,000Growth Rate = g = 3%Discount Rate = r = 6.4%

Q: ou are trying to value the following investment opportunity: The investment will cost you $5663…

A: NPV of the perpetuity is determined when there is a constant growth in future cash flow for the…

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: The annually compounded discount rate is 6.5%. You are asked to calculate the present value of a…

A: To calculate the present value (PV) of an annuity, use the formula:PV = Where: PV = Present Value…

Q: An ordinary annuity selling at $8,860.53 today promises to make equal payments at the end of each…

A: The annual annuity payment (PMT)= $1,065.62Present value= $7,706,517.28 Explanation:Step 1: Find the…

Q: A one-year annuity that pays $100 semi-annually will starts its payment in 6 months from now. APR is…

A: Present Value of  Ordinary Annuity refers to the concept which dictates the discounted value of a…

Q: Calculate the Present Value of a 23 year growing annuity considering the following information. The…

A: The present value of the growing annuity is calculated using following equationPresent value =…

Q: You have been awarded a 41 payment, constant growth annuity. First payment at Yeat 0 and is equal to…

A: The present value of an annuity refers to the current value of a series of future cash flows,…

Q: the next 3 years (ordinary annuity). If the appropriate required rate of return (discount rate) is…

A:

Q: Determine the present value of an increasing perpetuity-due with annual payments starting at 100 and…

A: An annuity is a payment series that provides a periodic sum to the annuity holder in exchange for a…

Q: Find the future value of a 10-year annuity due with payments of $23,000 and an annually compounded…

A: The Future Value of Annuity Due refers to the concept which determines the sum total of all the cash…

Q: An annual perpetuity has a constant cash flow of $1000.  If the interest rate is 7% compounded…

A: Given, Annual cash flow: $1,000Interest rate: 7%Present value of perpetuity=Annual cash…

Q: You are considering an annuity which costs $120,000 today. The annuity pays $13,255 a year at an…

A: Given: Present value of Annuity=$120000Annuity =$13255Interest rate (r)=9.75%

Q: what is the value of this annuity five years from now? What is the value three years from now? What…

A: An annuity is a series of payments which starts from 1st period and can end at any period, annuity…

Q: You are given an annuity-immediate paying 14 for 14 years, then increasing by one per year for 8…

A: An annuity's present value is the current value of all of its future cash flows discounted, using a…

Q: An immediate annuity makes monthly payments for 20 years. During the first year, each monthly…

A: An annuity is a payment series that provides an income to the holder in exchange for a lump-sum…

Q: An annuity has payments at the beginning of every three months starting today. The first payment is…

A: An annuity is a payment series that provides the holder with a periodic income in exchange for a…

Q: A company wants to have $30,000 at the beginning of each 6-month period for the next 4 1/2 years. If…

A: Semi annual payment = $30,000 Period = 4 1/2 = 4.50 Years Semi annual period = 4.50*2 = 9 Interest…

Q: You manage an investment fund that sells annuities. You sell a 6-year ordinary level annuity that…

A: Monthly payment = $2115 Interest rate = 3.46% APR compounded monthly So, monthly interest rate =…

Q: (a) How many payments will be paid? (b) What is the size of the final annuity payment?

A: Given in the question: Annuity Cash Value  $12,000 Payment at the beginning of every six…

Q: Calculate the present values at t = 0 (now) of the following cash flows: j. The first cash flow at…

A: The present value is the method of finding out the profitability of the project by adding up…

Q: ou make monthly payments at the beginning of each month that grow at a constant rate of 0.8% each…

A: Using excel

Q: You are saving up for a down payment on a house. You will deposit P600 a month for the next 24…

A: Future value means the value at some future point of time. The future value can be calculated of an…