None You've just won the 1,050,000 Massachusetts statelottery. You must choose one of the following payoutalternatives:35,000 at the beginning of each year for the next 30years, or510,675 todayBeverly Bank will buy and/or sell annuities and/orupfront amounts of any maturity at an APR of 5percent.a. What is the PV of the annuity alternative assumingyou sell it to Beverly Bank?b. An acquaintance has won the lottery and wants thelump-sum payout. You offer to pay her530,000 if she assigns the lottery winnings to you. If sheaccepts the offer what is your dollarprofit?

Part a: Present Value of the Annuity AlternativeWe need to calculate the present value of an annuity…

Answered: You've just won the 1,050,000…

Essentials Of Investments

11th Edition

ISBN:9781260013924

Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Chapter1: Investments: Background And Issues

Section: Chapter Questions

Problem 1PS

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Similar questions

Maybepay Life Insurance Co. is selling a perpetual annuity contract that pays $3300 monthly. The contract currently sells for $336,000. a. What is the monthly retun on this investment vehicle? b. What is the APR? c. What is teh effective annual return?
Suppose you find an annuity that pays 8% annual interest, compounded annually. If you invest in this annuity and contribute $10, 000 annually for 10 years, how much money will be in the annuity after 10 years? Enter your answer rounded to the nearest hundred dollars and omit the dollar sign and comma (For example $122, 570.21 should be input as 122600.) Provide your answer below:
you want to establish an annuity that will pay $7,500 for the next twenty years (end year) your financial institution will establish such an annuity if you deposit $104,000 today. what is the implied rate that the institution is paying on this annuity?
An investor is considering an annuity that pays $40,000 per year for four years. 1. Assuming the first $40,000 is paid in a years time given a discount rate of 4% what should the investor pay for this annuity today? 2. Assuming the first $40,000 is paid out immediately what should the investor pay today? (Asssume same discount rate). 3. If the investor pays $130,000 today and assuming the first paymentarrives in a years time, what would this investment’s internal rate of return be? (Asssume same discount rate). 4. What would the investor pay today if the first payment arrived in 5years time? (Asssume same discount rate). 5. If the investor invests $40,000 per year at the end of the next 4 years what would this be worth in 4 years time? (Asssume same discount rate).
An investment offers $966 per year for 11 years, with the first payment occurring Zyears from now. If the required return is 9 percent, what is the value of the investment? (HINT: Remember that when you calculate the PV of the annuity, the claculator gives you the present value of the annuity 1 period before the annuity starts. So if the annuity starts in year 7, that calculator will to give you the persent value of annuity in year 6. Now you have to bring this number to period O by inputting: N=6 (1 period before the annuity starts, in your case it would be a different number depending when your annuity starts) R=9 FV=Present value of annuity you found in step 1. And you solve for PV)
You are offered an annuity that will pay $11,000 per year for 24 years (the first payment will occur one year from today). If you feel that the appropriate discount rate is 12%, what is the annuity worth to you today? $914,490.09 $1.299,707.65 $95,902.77 $1,455,672.57 $85.627.47 You are told that if you invest $10,900 per year for 12 years (all payments made at the end of each year) you will have accumulated $670,000 at the end of the period. What annual rate of return is the investment offering? 29.99% 23.63% 20.63% 26.99% 33.44%
An insurance company is offering to sell an annuity for $20,000 cash. In return the firm will guarantee to pay the purchaser 20 annual endof-year payments, with the first payment amounting to $1100. Subsequent payments will increase at a uniform 10% rate each year (second payment is $1210; third payment is $1331, etc.). What rate of return would someone who buys the annuity receive?
You have a chance to buy an annuity that pays $25,000 at the beginning of each year for 10 years. You could earn 8.5% on your money in other investments with equal risk. What is the most you should pay for the annuity? You are not required to show calculations but you must list the inputs used such as N, PV, FV, etc. O $346,484.41 O $177,976.57 O $164,033.70
Your financial planner offers you two different investment plans. Plan X is a $22, 000 annual perpetuity. Plan Y is an annuity lasting 20 years and an annual payment, $30,000. Both plans will make their first payment one year from today. At what discount rate would you be indifferent between these two plans
Your insurance agent is trying to sell you an annuity that costs $50,000 today. By buying this annuity, your agent promises that you will receive payments of $260 a month for the next 25 years. What is the rate of return on this investment? (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.)
Your insurance company offered you an annuity that pays you $100 at the end of each year. The life of the annuity is 10 years. Assume that market interest rate you can earn on similar risky investments is 8%. What should be the present value of this annuity? If you are given the first payment immediately starting today, what should be the worth of this annuity? Which payment mode will you accept? What will be basis of your decision under time value of money concept?
Your financial planner offers you two different investment plans. Plan X is an annual perpetuity of $12,000 per year. Plan Y is an annuity for 11 years and an annual payment of $20,000. Both plans will make their first payment one year from today. At what discount rate would you be indifferent between these two plans? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16) Break-even rate: % please show excel formulas and answer breakdown

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