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- What is the value of the continuously compounded nominal interest rate r if the present value of 104 to be recieved after one year is the same as the present value of 110 to be received after two years? Please solve by hand and show all the steps of answer in order me to understand it at best :)Suppose you need to have $57,942.00 in an account 25.00 years from today and that the account pays 11.00%. How much do you have to deposit into the account 5.00 years from today? Suppose you deposit $1,101.00 into an account 7.00 years from today. Exactly 15.00 years from today the account is worth $1,466.00. What was the account's interest rate? Suppose you deposit $1,093.00 into an account 7.00 years from today that earns 12.00%. It will be worth $1,613.00 _____ years from today. Assume the real rate of interest is 2.00% and the inflation rate is 4.00%. What is the value today of receiving 10,528.00 in 15.00 years?1. If you receive $176 each month for 12 months and the discount rate is 0.04, what is the future value? (show the process and can use financial calculator)
- Suppose your bank account will be worth $4,200.00 in one year. The interest rate (discount rate) that the bank pays is 5%. What is the present value of your bank account today?Find the present worth sum of money that would be equivalent to the future amounts of $5000 in year 6 and $7000 in year 8 if the real interest rate is 10% per year and the inflation rate is 5% per year. Solve using the factors and their equations with (a) an inflation-adjusted rate, and (b) the real interest rate. Solve manually pleaseOne can solve for payments (PMT), periods (N), and interest rates (1) for annuities. The easiest way to solve for these variables is with a financial calculator or a spreadsheet. Quantitative Problem 1: You plan to deposit $2,100 per year for 4 years into a money market account with an annual return of 3%. You plan to make your first deposit one year from today. a. What amount will be in your account at the end of 4 years? Do not round intermediate calculations. Round your answer to the nearest cent. $ b. Assume that your deposits will begin today. What amount will be in your account after 4 years? Do not round intermediate calculations. Round your answer to the nearest cent. $ Quantitative Problem 2: You and your wife are making plans for retirement. You plan on living 25 years after you retire and would like to have $95,000 annually on which to live. Your first withdrawal will be made one year after you retire and you anticipate that your retirement account will earn 12% annually. a.…
- 4. If you receive $116 each month for 28 years and the discount rate is 0.08, what is the present value? (show the process and can use financial calculator)1. If you receive $29 each quarter for 19 years and the discount rate is 0.05, what is the present value? (show the process and can use financial calculator)Suppose we invest £100,000 at a semi-annually compounded interest rate of 6% for 1 year. What are the gross and net returns? Do the same if this was a monthly compounded rate and a continuously compounded rate. Compare the three net returns to the interest rate. Can you explain the ordering of these 4 quantities?
- An investor has a principal amount of $P. If he desires a payout (return) of 0.1P each year, how many years will it take to deplete an account that earns 8% per year? 0.1P = P(A/P, 8%,N), so N ∼=21 years. A payout duration table can be constructed for select payout percentages and compound interest rates. Complete the following table. (Note: table entries are years.) Summarize your conclusions about the pattern observed in the shown table.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?(1) What is the value at the end of Year 3 of the following cash flow stream if the quoted interest rate is 10%, compounded semiannually? (2) What is the PV of the same stream? (3) Is the stream an annuity? (4) An important rule is that you should never show a nominal rate on a time line or use it in calculations unless what condition holds? (Hint: Think of annual compounding, when INOM = EFF% = IPER.) What would be wrong with your answers to parts (1) and (2) if you used the nominal rate of 10% rather than the periodic rate, INOM/2 = 10%/2 = 5%?
