You have just deposited $12,000 into an account that promises to pay you an annual interest rate of 6.7 percent each year for the next 8 years. You will leave the money invested in the account and 20 years from today, you need to have $44,950 in the account. What annual interest rate must you earn over the last 12 years to accomplish this goal?

Q: If you deposit $50,000 in an account that pays an annual interest rate of 10% compounded monthly,…

A: The objective of this question is to calculate the future value of an investment given the initial…

Q: You decide to make annual deposits of $300.00 for 12 years into an account which pays 5% compounded…

A: Annual deposits = $300 Time duration = 12 years Interest Rate = 5%  The future value of the annuity…

Q: You have $27, 467.55 in a brokerage account, and you plan to deposit an additional $5, 000 at the…

A: The amount in the brokerage account (PV) at present is $27,467.55.The annual deposit (PMT) is…

Q: You want to have $40,000 in your savings account 6 years from now, and you're prepared to make equal…

A: The concept of time value of money will be used here and that of annuities. The amount of $40,000 is…

Q: you want to be able to withdraw $30000 each year for 25 years. your account earns 8% interest. How…

A: Given, Amount able to withdraw = $30,000 each year Time period = 25 years Interest rate = 8%

Q: You have $67,046.95 in a brokerage account, and you plan to deposit an additional $3,000 at the end…

A: The concept of time value of money will be used here. As per the concept of time value of money the…

Q: You deposited $1000 in the bank today.  What will be in your account in 25 years assuming an…

A: Given Information: Present Value (PV) = $1000 number of period (n) = 25years. Interest Rate = 6%

Q: You have $14,000 in the bank today.  How much would you need to save each year in order to…

A: Current amount (C) = $14000 Let the annual saving = A r = 10% n = 30 years Accumulated value = $3…

Q: Assume you deposit $5,900 at the end of each year into an account paying 11.75 percent interest.…

A: Annual deposit (P) = $ 5900 Annual interest rate (r) = 11.75%

Q: You deposit $10,000 into a savings account today and leave the money in the account for the next 12…

A: Future value is the value of an annuity at a future date being compounded for a period of time at an…

Q: You expect to receive $1,000 at the end of each of the next 3 years. You will deposit these payments…

A: Future value refers to the value of the current asset at some future date affected by interest and…

Q: Determine the size of your investment account 30years from now (when you plan to retire) if you…

A: Future value of annuity , FV= P * ( (1+r)^t -1) /rwhere P =$12,000r=0.10t=30 yearsFV =?

Q: you for the next 6 years, with your first deposit one month from today. If your savings earn 12.05%…

A: As per the given information: Amount deposited every month = $650Period = 6 yearsInterest rate =…

Q: You want to be able to withdraw $8500 from an account at the end of each 6-month period (that is,…

A: Given that;Periodic withdrawal amount is $8500Interest rate is 2.9% per year

Q: You need to have $31,000 in 11 years. You can earn an annual interest rate of 3 percent for the…

A: To calculate the deposit amount we will use the below formulaDeposit amount =…

Q: Your bank account pays an interest rate of 6 percent, but this interest is compounded daily (use…

A: Interest rate on account = 6% (compounded daily) Amount A = P(1 + r/n)nt Where A = amount P =…

Q: You have $20,800.51 in a brokerage account, and you plan to deposit an additional $3,000 at the end…

A: The number of years required to accomplish the goal can be find out by using the future value of…

Q: You can invest $5,000 today in an account that earns an annual interest rate of 8%. Using the…

A: In the given case, we have provided the current investment or initial investment, annual interest…

Q: You deposit $1,700 at the end of each year into an account paying 8.6 percent interest. a. How much…

A: ParticularAmountDeposits (PMT) $   1,700.00Interest Rate (RATE)8.60%No. of Deposits (NPER)16

Q: You plan to deposit $200 at the end of every six months for 8 years starting at the end of month 6.…

A: Answer: Calculation of the amount that will be available to withdraw at the end of year 15: The…

Q: Suppose you deposit $380 today, $565 in one year, and $929 in two years in an account that pays an…

A: We need to calculate future value here:It has formula, FV = PV * (1+r)^nwhere, PV is present valuer…

Q: You have $51, 854.38 in a brokerage account, and you plan to deposit an additional $3,000 at the end…

A: The time value of money is a concept in finance that takes into account the effects of compounding…

Q: If you deposit $12,000 per year, at the end of each year for 8 years in an account that pays an…

A: Annuity refers to a stream of constant and periodic cash flows. The annual amount of $12000 is an…

Q: What will the cash flows for this project be?

A: Carrying value at year 3 = Cost - Depreciation Carrying value at year 3 =…

Q: You expect to receive $3,100 upon your graduation and will invest your windfall at an interest rate…

A: Here, Particulars Values Present value of money (PV)  $ 3,100.00 Quarterly interest rate…

Q: You plan to deposit $500 in a bank account now and $600 at the end of the year. If the account…

A: Solution: The amount in account after second deposit will be the future value of first deposit and…

Q: You deposit $1,000 today and want to save $100 each month beginning one month from today. Your…

A: We have to find the number of periods it will take to reach a target accumulated value, starting…

Q: You Save Bank has aunique account. If you deposit $9,000 today, the bank will pay you an annual…

A: FV = A*(1+r)nwhereFV = future valueA = amount investedr = interest raten =time period

Q: You have $14,484.85 in a brokerage account, and you plan to deposit an additional $5,000 at the end…

A: This is a time value Problem, Here we have the present value, future value and interest rate given,…

Q: If you deposit $10,000 in a bank account that pays 10 percent interest annually, how much would be…

A: Future value of a lumpsum deposited today can be calculated using the future value…

Q: You are contributing money to an investment account so that you can purchase a house in six (6)…

A: Future Value: The future value is the amount that will be received at the end of a certain period.…

Q: you deposit $3000 today in an account earning 3.5% annual interst and keep it for 10 years. In 10…

A: Total amount present in the bank account after 30 years is $111,430.6Explanation:First we calculated…

Q: you want to withdraw equal amount of $100 from your account each year for 3 years. To do so, how…

A: Present value is the equivalent value today of the the future value of money that is expected to be…

Q: You deposit $1.2 million into your account to cover expenses in the next 12 years. The account earns…

A: Present value of annuity Annuity is a series of equal payments at equal interval of time for a…