Question

In: Finance

Consider a bank account where you make deposits of $100 at year 1, $200 at year...

Consider a bank account where you make deposits of $100 at year 1, $200 at year 5, and $200 at year 9. You do not remember the offered compound interest rate, but you know that the balance of your account right after the deposit at year 9 was twice the balance right after the deposit at year 5. Find the first time (in years) that the balance on your account reaches $1,000

Solutions

Expert Solution



Related Solutions

1. James deposits $200 in a bank account on the last day of each month. He...
1. James deposits $200 in a bank account on the last day of each month. He increases the deposit by $10 each month. The payments continue for a period of 36 months. What is the present value of these payments on the day of the first payment (to the nearest dollar)? The nominal interest rate is 8% compounded monthly. 2. $1000 accumulates to $1500 in 5 years time and the rate of inflation is 3% p.a. What is the annual...
You plan to make 15 deposits at the end of each year in an account that...
You plan to make 15 deposits at the end of each year in an account that pays 6% compound interest annually. If the first deposit is $ 1,000 and subsequently 500 are added each year to the amount deposited the previous year (1000, 1500, ...), the amount of the account at the end of the 15 years will be close to: a. $71,550 b. $97,777 c. $92,242 d. $87,021 e.No correct answer is provided.
A company is planning to make equal quarterly deposits into a bank account. They want their...
A company is planning to make equal quarterly deposits into a bank account. They want their account to have 1.5 million dollars after 5 years from now because they want to buy a certain machine. Note that the first quarterly deposit is made today and the last deposit is made at the end of year 5. A) If the bank’s interest rate is 14% per year compounded monthly, how much should the company deposit each quarter? (12.5 points) B) If...
You plan to make two deposits to your bank account - one deposit today for $X...
You plan to make two deposits to your bank account - one deposit today for $X and one deposit in four years for $3X. You would like to withdraw $20,000 from this bank account in 6 years, and another $10,000 in 12 years. You can earn an effective rate of 5% per year. What is $X? You want to have enough money in the bank to pay for your daughter’s education when the time comes. You expect to make 4...
Consider the following scenario: You plan to make quarterly deposits into a savings account that earns...
Consider the following scenario: You plan to make quarterly deposits into a savings account that earns 10% interest compounded continuously. You plan to make the first deposit of $500 at the end of the first quarter and increase the deposit by $100 each subsequent quarter. Which of the following best represents the future value of this scenario at the end of the 7th year?
You currently have $55,000 in your retirement account.  You will make deposits of $11,000/year into your account...
You currently have $55,000 in your retirement account.  You will make deposits of $11,000/year into your account for the next 20 years.  If the account earns 8% compounded quarterly, calculate how much you have in your account when you retire in 20 years.
You plan to make monthly deposits of $1,000 into an account at the beginning of each...
You plan to make monthly deposits of $1,000 into an account at the beginning of each month for the next 12 years. If you can earn 3.0% interest, what will your final balance be by the end of 12 years? Round to the nearest cent. ​[Hint: Beginning of period monthly cash flows!]
You plan to make monthly deposits of $1,000 into an account at the beginning of each...
You plan to make monthly deposits of $1,000 into an account at the beginning of each month for the next 11 years. If you can earn 3.4% interest, what will your final balance be by the end of 11 years? Round to the nearest cent. ​[Hint: Beginning of period monthly cash flows!]
You make deposits at the end of each month into an account earning interest at a...
You make deposits at the end of each month into an account earning interest at a rate of 6%/year compounded monthly. Your deposits will be $2000/month in the first year, $2200/month in the second year, $2420/month in the third year, $2662 in the fourth year, and so on. How much will be in your account at the end of 40 years? No Excel answers please.
TD Bank starts with $200 in bank capital. It then accepts $800 in deposits. It keeps...
TD Bank starts with $200 in bank capital. It then accepts $800 in deposits. It keeps 12.5% of deposits in reserves. It uses the rest of its assets to make bank loans. Show the balance sheet of TD Bank. You may type directly into the following T account. TD Bank Assets Liabilities          What is TD Bank’s leverage ratio. Suppose that 20 percent of the borrowers from TD Bank default and these bank loans become worthless. Show the bank’s...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT