Problem 1. If you deposit $1,000 every 2 years starting now over 10-year period, how much...
Problem 1. If you deposit $1,000 every 2 years starting now over 10-year period, how much money will you accumulate if annual interest rate is 10% compounded monthly?
Problem 2. How long will it take for money to double at 10% nominal interest rate, compounded continuously?
Problem 3. If $100 in year 0 will be worth $110 a year later, and it was worth $90 a year ago
- compute the interest rate for the past year and the interest rate next year.
- Assume that $90 invested a year ago will return a $110 a year from now. What is the annual interest rate in this situation
- How can you generalize your results in parts a and b for practical purposes for any number of periods?
Problem 4. What nominal interest rate compounded quarterly is equivalent to a 9.31% effective interest rate?
Homework Answers
Kindly go through the steps carefully. Q1 is solved for you.
Steps proceed like: I<II<III<IV<V
The final answer is: the total
money accumulated will be: $9452.54 (approximately)
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Problem 1. If you deposit $1,000 every 2 years
starting now over 10-year period, how much...
3. Two years ago, you invested $5,000 in a four-year certificate of deposit (CD). The annual...
3. Two years ago, you invested $5,000 in a four-year certificate of deposit (CD). The annual (stated) rate is 4% on the CD and it is compounded quarterly. Rates have increased and you are considering reinvesting in another certificate of deposit. However, if you withdraw the money from the original CD, you suffer a 10% penalty on the entire balance (interest and principal): a. If you make the withdrawal today, how much would you have remaining? (8 Points)
1. How much would you need to deposit in an account now in order to have $5000 in the account in 15 years? Assume the ac...
1. How much would you need to deposit in an account now in order to have $5000 in the account in 15 years? Assume the account earns 5% interest compounded monthly. 2. You currently have $7,700 (Present Value) in an account that has an interest rate of 3% per year compounded quarterly (4 times per year). You want to withdraw all your money when it reaches $18,480 (Future Value). In how many years will you be able to withdraw all...
2. How much interest is earned in an account by the end of 8 years...
2. How much interest is earned in an account by the end of 8 years if $24,000 is deposited at the beginning of year 1 and interest is 4.4% per year, compounded semi-annually? 3. If you wish to accumulate $53,000 in 7 years, how much must you deposit today in an account that pays annual interest rate of 8%, with quarterly compounding of interest? 4. If you deposit $9,000 at the end of each year for 9...
You deposit $1,000 at the end of the year (k = 0) into an account that...
You deposit $1,000 at the end of the year (k = 0) into an account that pays interest at a rate of 6% compounded annually. Two years after your deposit, the savings account interest rate changes to 12% nominal interest compounded monthly. Five years after your deposit, the savings account again changes its interest rate, this time the interest rate becomes 8% nominal interest compounded quarterly. Eight years after your deposit, the saving account changes its rate once more to...
8-One year from now, you deposit $300 in a savings account. You deposit $1,800 the next...
8-One year from now, you deposit $300 in a savings account. You deposit $1,800 the next year. Then you wait two more years (until 4 years from now) and deposit $1,000. If your account always earns 6% annual interest and you make no withdrawals, how much will be in the account 11 years from now? 9-You deposit $5000 for 5 years at 4% annual interest. In 5 years, you add $15,000 to your account, but the rate on your account...
Compounded Continuously 1. How much money will be in the account after 5 years if $2030...
Compounded Continuously 1. How much money will be in the account after 5 years if $2030 is deposited at 4% compounded continuously? 2. Determine the amount of interest earned in 5 years if $2030 is deposited at 4% compounded continuously? 3. Inflation is running at 0.8% per month when you deposit $3000 in an account earning 6% compounded continuously. In constant dollars, how much will you have 2 years from now? 4. Find the present value of $12,075 if money...
How much FW will be 10 years from now if you deposit $1,000 now and $2,000...
How much FW will be 10 years from now if you deposit $1,000 now and $2,000 five years from now, if the account earns interest at a rate of 9% per semiannual, compounded monthly? FW = 1000(F/P, 9.38%, 20) + 2000(F/P, 9.38%, 10) FW = 1000(F/P, 9.34%, 20) + 2000(F/P, 9.34%, 10) FW = 1000(F/P, 9.38%, 10) + 2000(F/P, 9.38%, 5) FW = 1000(F/P, 9.34%, 10) + 2000(F/P, 9.34%, 5)
You deposit $3,000 at the end of the year (k = 0) into an account that pays interest at a rate of 7% compounded annually. A year after your deposit, the savings account interest rate changes to 1 2%...
You deposit $3,000 at the end of the year (k = 0) into an account that pays interest at a rate of 7% compounded annually. A year after your deposit, the savings account interest rate changes to 1 2% nominal interest compounded month y Five years after ur de o the savings account aga changes it interest rate this time e interest rate becomes 8% nominal interest compounded quarterly. Eight years after your deposit, the saving account changes its rate...
3. Nonannual compounding period The number of compounding periods in one year is called compoundi...
3. Nonannual compounding period The number of compounding periods in one year is called compounding frequency. The compounding frequency affects both the present and future values of cash flows An investor can invest money with a particular bank and earn a stated interest rate of 13.20%; however, interest will be compounded quarterly. What are the nominal, periodic, and effective interest rates for this investment opportunity? Interest Rates Nominal rate Periodic rate Effective annual rate You want to invest $19,000 and...
How much interest is earned in an account by the end of 5 years if $30,000...
How much interest is earned in an account by the end of 5 years if $30,000 is deposited and interest is 4% per year, compounded semi-annually? What is the balance in an account at the end of 10 years if $6,500 is deposited today and the account earns 3% interest compounded annually? If you wish to accumulate $50,000 in 10 years, how much must you deposit today in an account that pays annual interest rate of 8%, with semi-annual compounding...
3. Two years ago, you invested $5,000 in a four-year certificate of deposit (CD). The annual (stated) rate is 4% on the CD and it is compounded quarterly. Rates have increased and you are considering reinvesting in another certificate of deposit. However, if you withdraw the money from the original CD, you suffer a 10% penalty on the entire balance (interest and principal): a. If you make the withdrawal today, how much would you have remaining? (8 Points)
You deposit $1,000 at the end of the year (k = 0) into an account that pays interest at a rate of 6% compounded annually. Two years after your deposit, the savings account interest rate changes to 12% nominal interest compounded monthly. Five years after your deposit, the savings account again changes its interest rate, this time the interest rate becomes 8% nominal interest compounded quarterly. Eight years after your deposit, the saving account changes its rate once more to...
8-One year from now, you deposit $300 in a savings account. You deposit $1,800 the next year. Then you wait two more years (until 4 years from now) and deposit $1,000. If your account always earns 6% annual interest and you make no withdrawals, how much will be in the account 11 years from now? 9-You deposit $5000 for 5 years at 4% annual interest. In 5 years, you add $15,000 to your account, but the rate on your account...
Compounded Continuously 1. How much money will be in the account after 5 years if $2030 is deposited at 4% compounded continuously? 2. Determine the amount of interest earned in 5 years if $2030 is deposited at 4% compounded continuously? 3. Inflation is running at 0.8% per month when you deposit $3000 in an account earning 6% compounded continuously. In constant dollars, how much will you have 2 years from now? 4. Find the present value of $12,075 if money...
How much FW will be 10 years from now if you deposit $1,000 now and $2,000 five years from now, if the account earns interest at a rate of 9% per semiannual, compounded monthly? FW = 1000(F/P, 9.38%, 20) + 2000(F/P, 9.38%, 10) FW = 1000(F/P, 9.34%, 20) + 2000(F/P, 9.34%, 10) FW = 1000(F/P, 9.38%, 10) + 2000(F/P, 9.38%, 5) FW = 1000(F/P, 9.34%, 10) + 2000(F/P, 9.34%, 5)
You deposit $3,000 at the end of the year (k = 0) into an account that pays interest at a rate of 7% compounded annually. A year after your deposit, the savings account interest rate changes to 1 2% nominal interest compounded month y Five years after ur de o the savings account aga changes it interest rate this time e interest rate becomes 8% nominal interest compounded quarterly. Eight years after your deposit, the saving account changes its rate...
3. Nonannual compounding period The number of compounding periods in one year is called compounding frequency. The compounding frequency affects both the present and future values of cash flows An investor can invest money with a particular bank and earn a stated interest rate of 13.20%; however, interest will be compounded quarterly. What are the nominal, periodic, and effective interest rates for this investment opportunity? Interest Rates Nominal rate Periodic rate Effective annual rate You want to invest $19,000 and...
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