4.2 Calculating Present Values Suppose you have just celebrated your 19th birthday. A rich uncle set up a trust fund for you that will pay you $100,000 when you turn 25 If the relevant discount rate is 11 percent, how much is this fund worth today? (See
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The worth of the fund today can be calculated with the help of present value function
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- Suppose you have a financial investment opportunity for which if you invest $2,000 today, you will receive $100 per year for 3 years plus $2,500 in the third year. Is this worthwhile in financial terms if the interest rate on the best alternative use of the funds is 10% How would I plug this into a finacial calculator? usin N, I/Y, PV, PMT,FVyou that will pay you $100,000 when you turn 25. If the relevant discount rate is 11 percent, how much is this fund worth today? (See Problem 3.) Calculating Rates of Return You've been offered an investment that will double your money in 12 years. What rate of return are you being offered? Check your answer using the Rule of 72. (See Problem 4.) 4.3 CalculatinYou are currently investing your money in a bank account which has a nominal annual rate of 7 percent, compounded monthly. How many years will it take for you to double your money? m Nper (or N) =n*m Rate (or I/Y)=i/m PV PMT FV Identify variables and use excel
- You are currently investing your money in a bank account which has a nominal annual rate of 7 percent, compounded monthly. How many years will it take for you to double your money? Identify the following variables to help solve problem: m Nper (or N) =n*m Rate (or I/Y)=i/m PV PMT FVChris offers you an investmet where if ou investment where if you invest $1,000 today, he'll return you $1,200 in 2 years. What is the annual rate of return of this investment? Choose the closest. a) 10.5% b) 9.0% c) 10.0% d) 9.5%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
- 8) Special Retirement PlanYou set up a retirement plan where you will invest $20,000 per year in an account with a guaranteed rate of return of ? = 0.05. The plan requires that you start investing immediately at year t=0, and make fifteen (15) additional payments of $20,000 in years t=1, t=2, ..., t=10. You make 11 investments in total. a. What will be the value of this stream of investments in year t=50? b. What is the maximum you can withdraw per year over the twenty (20) year period from t=51, t=52, ..., t=70? You have to withdraw the same amount each year. c. What is the maximum that you can withdraw per year forever if you start to make withdrawals in year t=51. You have to withdraw the same amount each year. 19)1.1 Your parents set up fund for you 22 years ago that is now worth R47866,34. If the fund earned 8% per year, how much did your parents invest? 1.2 Suppose you are offered an investment that will allow you to double your money in 9 years. You have R20 000 to invest. what is the implied rate of interest? 1.3 Suppose you have a 4- year old son and you want to provide R55 000 in 16 years towards his collage education. You currently have R5 000 to invest. what interest rate must must you earn to have to earn the R55 000 when you need it? 1.4 Suppose you want to buy a new house. You currently have R30 000 and you figure you need to have a 10% down payment plus an additional 5% of the loan amount in closing costs. if the type of house you want costs about R450 000 and you can earn 7.5% per year, how long will it be before you have enough money for the down payment and closing costs?Assume that investing $500 in a fund today will give you a return of $530 a year later. On the other hand, your bank can give you a rate of interest of 7.5% compounded annually. Will you choose to invest in the fund?
- JUST NEED SUBPARTS D AND E You are trying to decide how much to save for retirement. Assume you plan to save $4,000 per year with the first investment made one year from now. You think you can earn 7.0% per year on your investments and you plan to retire in 29 years, immediately after making your last $4,000 investment. a. How much will you have in your retirement account on the day you retire? b. If, instead of investing $4,000 per year, you wanted to make one lump-sum investment today for your retirement that will result in the same retirement saving, how much would that lump sum need to be? c. If you hope to live for 28 years in retirement, how much can you withdraw every year in retirement (starting one year after retirement) so that you will just exhaust your savings with the 28th withdrawal (assume your savings will continue to earn 7.0% in retirement)? d. If, instead, you decide to withdraw $70,000 per year in retirement (again with the first withdrawal one…Now consider your financial objective is to save $500,000 for preparing your retirement, assuming 30 years from now. If you invest your RRSP savings in a mutual fund which can realize an average return of 10% per year. To achieve your goal, how much do you need to save at the end of each year over the 30-year period? a. 4,039.26 b. 3,039.62 c. 2,985.54 d. 10,988.32 What is the FV of $100 deposited today into an account with an APR 12.6%, compounded semiannually for 10 years? a. 1478.96 b. 3460.06 c. 327.63 d. 339.36 A car dealer offers payment of $525.32 per months for 60 months on a $30,000 car after making a $5000 down payment. What's the loan's APR? a. 10.4798% b. 9.5224% c. 1.9609% d. 0.7935%You are considering a safe investment opportunity that requires a $1,410 investment today, and will p $780 two years from now and another $830 five years from now. a. What is the IRR of this investment? b. If you are choosing between this investment and putting your money in a safe bank account that pa an EAR of 5% per year for any horizon, can you make the decision by simply comparing this EAR wit the IRR of the investment? Explain. a. What is the IRR of this investment? The IRR of this investment is %. (Round to two decimal places.)