You are thinking of building a new machine that will save you $2,000 in the first year. The machine will then begin to wear out so that the savings decline at a rate of 1% per year forever. What is the present value of the savings if the interest rate is 8% per year? The present value of the savings is $ (Round to the nearest dollar.)
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- You are thinking of building a new machine that will save you $1,000 in the first year. The machine will then begin to wear out so that the savings decline at a rate of 3% per year forever. What is the present value of the savings if the interest rate is 5% per year? The present value of the savings is $ (Round to the nearest dollar.)Suppose you deposit $600 in an account that earns 4% interest. You receive an e-mail about a great investment opportunity. The message says you will double your money "in only two years!" What rate of return would be needed for that prediction to come true?Please provide the steps to solving this problem using a financial calculator: You just opened a brokerage account, depositing $3,500. You expect the account to earn an interest rate of 9.652%. You also plan on depositing $4,500 at the end of years 5 through 10. What will be the value of the account at the end of 20 years, assuming you earn your expected rate of return?
- You plan to deposit $700 in a bank account now and $200 at the end of one year. If the account earns 3% interest per year, what will the balance be in the account right after you make the second deposit? There will be $ in the account right after the second deposit. (Type an integer or a decimal.) w an example .... Get more help. Save Clear all InPlease put the solution in an excel spreadsheet to get the correct answer and please explain the steps for each formula in excel You are offered the opportunity to put some money away for retirement. You will receive 10 annual payments of $5,000 each beginning in 26 years. If you desire an annual interest rate of 12% compounded monthly, answer the following two questions: How much would you be willing to invest today? How much would the money (that you will be willing to invest today) be worth at the end of your last payment (i.e., in year 35)? Amount that you would be willing to invest today = PV = $5,000/(1.01)26*12 + $5,000/(1.101)27*12 + $5,000/(1.01)28*12 + $5,000/(1.01)29*12 + $5,000/(1.01)30*12 + $5,000/(1.01)31*12 + $5,000/(1.01)32*12 + $5,000/(1.01)33*12 + $5,000/(1.01)34*12 + $5,000/(1.01)35*12 = $1,388.638 Amount that would the money worth at the end of your last payment = FV = $1388.64 * (1+ 0.01)35*12 = $90691.52You are thinking of building a new machine that will save you $ 4,000 in the first year. The machine will then begin to wear out so that the savings decline at a rate of 3 % per year forever. What is the present value of the savings if the interest rate is 7 % per year?
- d. If, instead, you decide to withdraw $170000 per year in retirement (again with the first withdrawal one year after retiring), how many years will it take until you exhaust your savings? (Use trial-and-error, a financial calculator: solve for "N", or Excel: function NPER) e. Assuming the most you can afford to save is $1500 per year, but you want to retire with 1000000 in your investment account, how high of a return do you need to earn on your investments? (Use trial-and-error, a financial calculator: solve for the interest rate, or Excel: function RATE) *round to two decimal places for d) and e)*Assume that you have $10,000,000 in your bank account. You wish to withdraw $400,000 per year, at the end of each year, for the next 5 years, after which you wish to have $11,000,000 in the bank. What is the balance in your account after the 2nd year (after the withdrawal)? Hint: you will need first to solve for rate in Excel given all other parameters. Watch signs. Select one: a. $10,366,644 b. $10,600,000 c. $9,600,000 d. $10,488,912Suppose you invest $130 a month for 4 years into an account earning 6% compounded monthly. After 4 years, you leave the money, without making additional deposits, in the account for another 27 years. How much will you have in the end?Hint: You will need two different formulas here. Use one formula to find the value for the first 4 years. Use a second formula for the next 27 years. You will NOT add the two values together.$
- Use the tables in Appendix B to answer the following questions. A. If you would like to accumulate $2,500 over the next 4 years when the interest rate is 15%, how much do you need to deposit in the account? B. If you place $6,200 in a savings account, how much will you have at the end of 7 years with a 12% interest rate? C. You invest $8,000 per year for 10 years at 12% interest, how much will you have at the end of 10 years? D. You win the lottery and can either receive $750,000 as a lump sum or $50,000 per year for 20 years. Assuming you can earn 8% interest, which do you recommend and why?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 win at a lottery that pays you $1000 a week for life! (a) Assuming that a year counts 365.25 days on average and that a week counts 7 days, find the annual income. (b) You decide to open a savings account with a 3% yearly interest rate compounded continuously and put all the money from your prize in this until you can buy a $300000 Lamborghini. For how long will you save? (c) What is the capital value of the prize, assuming the same 3% interest rate?