ime value of money Your favorite uncle has offered you the choice of the following options. He will give you either P2,000 1 year from now or P3,000 4 years from now. Which would you choose if the discount rate is (a) 10 percent? (b) 20 percent?
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Time value of money
Your favorite uncle has offered you the choice of the following options. He will give you either P2,000 1 year from now or P3,000 4 years from now.
Which would you choose if the discount rate is (a) 10 percent? (b) 20 percent?
Step by step
Solved in 2 steps
- Your uncle wants to retire in 30 years, and he wants to have an annuity of $1000 a year for 20 years after retirement. He wants to receive the first annuity payment at the end of the 30th year. Using an interest rate of 10%, how much must he invest as a lump sum today in order to have his retirement annuity (round to nearest $10). Multiple Choice O $500 $490 $540 $570 none of the above xPart III: You have decided that you would like to buy a townhouse in 8years and will need a down payment of $30,000. How much do you need to save each year if your savings account returns an O interest rate of 3.50%. D 1N (period of time) 21 (Interest) 3 PV (Present Value 4 FV (Future Value) 5 PMT (Annuity) 26 27 28 29 30 31 32 Ready determine annuity payment which is a monthly savings of only? Bond Valuation F21r TVM Calcs Loan Amortization F21r Accessibilitir Inuoctigats After BSU, I can do this!3. You are purchasing an annuity that will pay you 15,000 a year for 5 years, beginning in year 20. The rate of return on the annuity is 3.5%. What are you going to pay for the annuity today? colqmsx3 le охолова 4. You are purchasing a car from your grandparents. You agree to pay them $2000 today and $2000 per year for the next 3 years. If you assume an interest rate of 2%, what is the value of the car? noillum S.So und
- You have the option to receive $5,000 one year from now or $4,500 today. If the discount rate is 10%, which option should you choose to maximize your present value? Receive $5,000 one year from now Receive $4,500 todayYour grandfather would like to share some of his fortune with you. He offers to give you money under one of the following scenarios (you get to choose): 1. $8,750 a year at the end of each of the next seven years 2. $50,050 (lump sum) now 3. $98,650 (lump sum) seven years from now Calculate the present value of each scenario using a 6% interest rate. Which scenario yields the highest present value? Would your preference change if you used a 12% interest rate? (Click the icon to view the present value (Click the icon to view the present value annuity factor table.) factor table.) (Click the icon to view the future value annuity factor table.) factor table.) (Glick the icon to view the future value Using a 6% interest rate, calculate the present values for each scenario. (Round the amounts to the nearest dollar.) Present value of Scenario 1Value of a retirement annuity Personal Finance Problem An insurance agent is trying to sell you an annuity, that will provide you with $5,100 at the end of each year for the next 30 years. If you don't purchase this annuity, you can invest your money and earn a return of 5%. What is the most you would pay for this annuity right now? Ignoring taxes, the most you would pay for this annuity is S. (Round to the nearest cent.)
- Suppose an investor, Erik, is offered the investment opportunities described in the table below. Each investment costs $1,000 today and provides a payoff, also described below, one year from now. Option Payoff One Year from Now 1 100% chance of receiving $1,100 2 50% chance of receiving $1,000; 50% chance of receiving $1,200 3 50% chance of receiving $200; 50% chance of receiving $2,000 If Erik is risk averse, which investment will he prefer? The investor will choose option 1. The investor will choose option 2. The investor will choose option 3. The investor will be indifferent toward these options. Which kind of stock is most affected by changes in risk aversion? High-beta stocks Low-beta stocks All stocks are affected the same, regardless of beta. Medium-beta stocksYou are considering two savings options. Both options offer a rate of return of 8.2 percent. The first option is to save $1,500, $1,500, and $2,000 at the end of each year for the next three years, respectively. The other option is to save one lump sum amount today. You want to have the same balance in your savings account at the end of the three years, regardless of the savings method you select. If you select the lump sum method, how much do you need to save today? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)Your grandfather has offered you a choice of one of the three alternatives: 1. Take Rs. 500,000 now 2. Take Rs 100,000 a year for eight years, or 3. Take Rs 1200,000 at the end of eight years. Required: 1. Assume you could earn 11% per annum, which alternative should you choose? 2. If you could earn 12% per annum, would you still choose the same alternative?
- d If you put up $31,000 today in exchange for a 5.25 percent, 15-year annuity, what will the annual cash flow be? Multiple Choice $465,000.22 $2,066.67 $3,037.29 $1,409.79suppose you are planning to buy a home in 8 years from now that costs you 47114 OMR, How much should you save each year in your bank account that pays 6.012 percent to reach your goal? Select one: O a. 4758.17 Ob. 4321.71 Oc. 466508.69 Od. None of the options O e. 3651.77Suppose an Investor, Erik, is offered the Investment opportunities described in the table below. Each Investment costs $1,000 today and provides a payoff, also described below, one year from now. Option Payoff One Year from Now 1 100% chance of receiving $1,100 2 50% chance of receiving $1,000 50% chance of receiving $1,200 3 50% chance of receiving $200 50% chance of receiving $2,000 If Erik is a risk neutral investor, which investment will he prefer? O Erik will be indifferent toward these options. Erik will choose option 1. Erik will choose option 2. Erik will choose option 3. In contrast, Erik's brother, Devin, is risk averse. Which of the following statements is true about Devin? Everything else remaining constant, Devin will prefer option 1. Everything else remaining constant, Devin will prefer option 2. ○ Everything else remaining constant, Devin will prefer option 3. O None of these options is preferred.