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?
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- Use the tables in Appendix B to answer the following questions. A. If you would like to accumulate $4,200 over the next 6 years when the interest rate is 8%, how much do you need to deposit in the account? B. If you place $8,700 in a savings account, how much will you have at the end of 12 years with an interest rate of 8%? C. You invest $2,000 per year, at the end of the year, for 20 years at 10% interest. How much will you have at the end of 20 years? D. You win the lottery and can either receive $500,000 as a lump sum or $60,000 per year for 20 years. Assuming you can earn 3% interest, which do you recommend and why?You put $250 in the bank for S years at 12%. A. If interest is added at the end of the year, how much will you have in the bank after one year? Calculate the amount you will have in the bank at the end of year two and continue to calculate all the way to the end of the fifth year. B. Use the future value of $1 table in Appendix B and verity that your answer is correct.You are considering in a security that has the following cash flow pattern. At the end of year 5, you will receive the first payment of $300. Every year after that, you will receive the same amount forever. What is the maximum amount that you should be willing to pay for this security if you want a rate of return of 6.54%?
- 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%Your savings currently are invested in an investment product generating 5.2% EAR. You are considering moving your money into a mutual fund expected to generate payments of $11,000 every 5 years. The first payment will be received five years from now and payments will continue unchanged forever. If the mutual fund is the same risk as your current investment product, what is the value today of the mutual fund investment?You want to invest $18,000 and are looking for safe investment options. Your bank is offering you a certificate of deposit that pays a nominal rate of 6% that is compounded semiannually. What is the effective rate of return that you will earn from this investment?
- (Use Calulator or Formula Approach) Suppose you invest $500 in a mutual fund today and $600 in one year. If the fund pays 9% annually, how much will have you in two years? How much will you have in 5 years if you make no further deposits?You are considering a safe investment opportunity that requires a $780 investment today, and will pay $870 two years from now and another $640 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 pays an EAR of 5% per year for any horizon, can you make the decision by simply comparing this EAR with the IRR of the investment? Explain.Suppose you want to make an investment of $5,000, and you have two funds to choose from: Fund A and Fund B. Fund A will give you a return of $5,250 after a year. Fund B will give you a return of $1,200 per year in 5 annual installments. Consider the annual interest rate to be 2%. Based on the present value of the two future inflows, which of the two funds should you choose to invest your money in?
- Next year, you will begin receiving $173 per year in perpetuity from a family trust fund (first payment is exactly 1 year from today). You have decided to discount these cash flows at a constant interest rate of 5.8%. What is the present value today of these future cash flows?) Your parents have an investment portfolio of $400,000, and they wish to take out cash flows of $50,000 per year as an ordinary annuity. How long will their portfolio last if the portfolio is invested at an annual rate of 5.50%? Use a calculator to determine your answer.You have a chance to buy an annuity that pays $50,000 at the beginning of each year for 15 years. You could earn 10.0% 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. However to receive credit you must provide the inputs used (N, PMT, FV, I/Y, PV) to solve. If you utilize a template, you can copy and paste the section used in the submission. $418,334.37 $750,000.00 $380,303.98