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- ▼ Cash Flow Present Discounted Value Interest Rate is based on the notion that a dollar paid in the future is less valuable than a dollar paid today. Part 2 The present value of a loan in which $3000 is to be paid out a year from today with the interest rate equal to 3% is $.(Round your response to the neareast two decimal place) Part 3 If a loan is paid after two years, and the amount $3000 is to be paid then with a corresponding 1% interest rate, the present value of the loan is $.(Round your response to the neareast two decimal place)A rich relative has bequeathed you a growing perpetuity. The first payment will occur in a year and will be $3,000. Each year after that, you will receive a payment on the anniversary of the last payment that is 4% larger than the last payment. This pattern of payments will go on forever. Assume that the interest rate is 15% per year. a. What is today's value of the bequest? b. What is the value of the bequest immediately after the first payment is made? ARCKICHI a. What is today's value of the bequest? Today's value of the bequest is $(Round to the nearest dollar. b. What is the value of the bequest immediately after the first payment is made? The value of the bequest immediately after the first payment is made is $ (Round to the nearest dollar.)Compute the following: The present value of $25,000 each year for 4 years at a 7 percent interest rate The present value of $152,000 each year for 5 years at a 6 percent interest rate The present value of $60,000 each year for 10 years at a 6.5 percent interest rate
- 6. You may borrow or lend at a 5% interest rate, which you expect to remain stable forever. Make a choice and explain your answer in each scenario below. a. You may receive a gift of $500 today or a gift of $540 next year. b. You may receive gift of $100 today or a four-year loan of $500 without interest. c. You may receive a $350 rebate on an $8000 car or one year of no-interest financing on the full price of the car. d. You have just won $1 million in the lottery. You may receive $500,000 now or the full million, paid out in 20 annual payments of $50,000. e. Alternatively, you may take $500,000 now or receive $25,000 per year for eternity (a contract that your heirs will inherit).Suppose that you are considering subscribing to “ABC” magazine. The magazine is advertising a one-year subscription for $60 or a three-year subscription for $166. You plan to keep getting the magazine for at least three years. The advertisement says that a three-year subscription saves you $14 compared to buying three successive one-year subscriptions. If the interest rate is 10%, should you subscribe for one year or for three years? (Assume that one year from now a one-year subscription will still be $60.)3. Sarah wants to have $2,000,000 in net worth when he retires. To achieve this goal, she plans to invest $1,000 each year (starting one year from now) into an account of time that earns 10% interest rate compounded annually. The amount of time Sarah can retire as a multimillionaire is how many years? a. 31.94 (32 years) b. 55.64 (56 years) c. 25.56 (26 years) d. 20.36 (20 years)
- A European investor lives near one of his country’s borders. In Country A (where he lives), banks are offering an 8% interest rate and the inflation rate is 3%. Country B, on the other hand, has an inflation rate of 23%, and banks are offering 26% interest on deposits. a. What real or effective interest rate does the investor earn when investing in his own country? b. The investor believes that the currency of Country B will not change in its value relative to the value of the currency of Country A during this year. In which country would he get a larger effective interest rate? c. Suppose that he invests in a bank in Country B and that his prediction turns out to be wrong: the currency of Country B was devaluated 20% with respect to the exchange value of Country A’s currency. What effective interest rate would he obtain in this case?Suppose that you eam $250 in year 1 and will ean $448 in year 2. If you borrow money against your future income you will have and additional $400 to spend in year 1, and If you lend all of your current income you will have and additional $280 to spend in year 2. In both years you consume only food which costs $1 per kilogram in each year. What is the interest rate that you borrow and lend at? R= F2 where F is the amount of food consumed this F1 Let your MRS for food in year 1 with food in year 2 be given by the formula year and Fo is the amount of food consumed next year. Calculate your consumption bundie: F1 = F2 = %3! Suppose the interest rate at which you can borrow and lend changes to 40%. Calculate your new consumption bundle: %3D Which interest rate is preferred? O The initial interest rate found in part 1 The new interest rate, 40%Suppose Alice decides to put some money in a new account that compounds twice per year. At the beginning of the year, before the first compounding, she deposits $10,000. At the end of the year, she finds $11,000 in the account. What was the interest rate on this account?
- The value of land in Manhattan was around $150 billion in 2008. Imagine that it is 1626 and you are the economic advisor to the Dutch when they are considering whether to buy Manhattan from the Manhasset Indians. Further,assume that the relevant interest rate for calculating the present value is 4%per year. Would you advice the Dutch that a purchase price of $24 is a good deal or not? How would your answer change if the interest rate were 6%? And 8%? (Hint: for each interest rate,calculate the present value in 1626 of the land value as of 2008. Then compare that with the purchase price in 1626. For example, simplify by assuming that the owners collect no rents on the land. As an advanced further question,assume that the rent equals 2% of the value of the land each year.)ASAP. Use 2 decimal places for the final answer 5. If I loaned an amount of P50,000.00 with an interest rate of 11.98 % compounded monthly for 5 years. What is the real interest rate or the effective interest rate in percent?Intro In order to save for your retirement, you want to save $2,000 every year for 15 years, starting one year from now. The annual interest rate on your savings account is 8%. Part 1 How much money will you have in your account in 15 years? 0+ decimals Submit