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- 1. What is the Single Payment Compound Amount factor for an interest rate of 2% over 10 years? 2. What is the Uniform Gradient Future Worth factor for an interest rate of 10% over 10 years? 3. What is the Uniform Series Present Worth factor for an interest rate of 5.5% over 20 years? 4. A bank pays 3% interest per year (compounded annually). a. To what amount will a $5,000 deposit grow if left in the bank for 10 years? b. Draw the Cash Flow Diagram for this problem.A bond with a face value of $4,000 pays quarterly interest of 1.5 percent each period. Thirty-four interest payments remain before the bond matures. How much would you be willing to pay for this bond today if the next interest payment is due now and you want to earn 8 percent compounded quarterly on your money? Click the icon to view the table of compound interest factors for discrete compounding periods when i=2%3.2 Compare the interest earned by $1,000 for five years at 8% simple interest with that earned by the same amount for five years at 8% compounded annually. 3.3 You are considering investing $3,000 at an interest rate of 8% compounded annu- ally for five years or investing the $3,000 at 9% per year simple interest for five years. Which option is better?
- 1. Given the following varied interest rates: 6% compounded monthly during the first year, 2% per quarter during the second and third years, and 10% per year throughout the remaining years, how much should you invest today (P) to have $ 1M five years from now? 2. For five years, a series of equal payments of $50,000 is received quarterly. The quarterly payments double in size after these five years and continue for another ten years. Calculate the single present amount (P) equivalent to the series of payments received over the 15-year period if the interest rate is: a. 12% compounded monthly b. 12% compounded annuallyA bond with a face value of $5,000 pays quarterly interest of 3 5 percent each period. Thirty-four interest payments remain before the bond matures. How much would you be willing to pay for this bond today if the next interest payment is due now and you want to earn 8 percent compounded quarterly on your money? Click the icon to view the table of compound interest factors for discrete compounding periods when i = 2% You should pay $ (Round to the nearest cent as needed )How much will be in a bank account at the end of five years if $2000 is invested today at 12 percent interest per annum, compounded yearly?
- 1. A series of equal quarterly receipts of $5000 extends over a period of five years. What is the estimated present worth of this quarterly payment series at 8% interest compounded continuously? 2. You have just inherited $200,000 and wisely decide to invest your money in a diversified portfolio with your investment firm. You financial advisor tells you that you can earn an average of 8% interest per year on your investment. You tell your advisor that you want to retire as soon as your account balance reaches S1,000,000. If you do not add or take money out of your account and interest does not fluctuate, how long, rounded to the nearest year, will it take before you have a S1,000,000 balance?Suppose you plan to have $40,000 in 10 years from now and you can invest your savings at 2% compounded continuously. Assuming you can save the same amount of money each year, how much do you need to save on a yearly basis in order to achieve your goal? Hint: Treat your savings as an income stream. Yearly savings (exact value) = 3,613.32 x dollars Yearly savings (rounded to the nearest cent) = 3,613.32 dollarsHow much should you invest each month in order to have $700,000 if your rate of return is 3.6% compounded monthly and you want to achieve your goal in 40 years?How much interest will you earn?How much should you invest each month in order to have $700,000 if you want to achieve your goal in 20 years?If you deposit the amount you need to achieve your goal in 20 years, how much will your savings be worth after 10 years?
- Jon’s grandfather was planning to give him $11,000 in 14 years. Jon has convinced him to pay him $7,000 now, instead. If Jon invests this $7,000 at 6.5% compounded continuously how much money will he have in 14 years? a) What type of problem is this? Select an answer Future Value -Simple Interest Future Value - Compound Interest Future Value - Continuously Compounded Future Value - Ordinary Annuity Future Value - Annuity Due Present Value - Ordinary Annuity Present Value - Annuity Due b) How much will he have? (round to the nearest cent) $5. You receive payments of $10,000 per year from a family trust, but you don't need that money right now. Find FV Annuity: If you deposit your annual payments into an account earning 2% per year, what will be the account balance in 10 years? C= 10,000 r = 0.02 t = 10 (1 = i)^n FV = C =? Find FV Annuity: If you deposit your annual payments into an account earning 2% per year, what will be the account balance in 5 years?Albert Einstein once noted that, "Compounding of interest is one of humanity's greatest inventions". To illustrate the mind-boggling effects of compounding, what amount should you invest quarterly for 10 years in a fund that earns 8% compounded quarterly, to be able to accumulate P1,000,000 10 years? Draw the cash-flow diagram before solving.