Question

Suppose that you have a bank account with a balance of $4,516.10 at the beginning of...

Suppose that you have a bank account with a balance of $4,516.10 at the beginning of the year and $4,566.10 at the end of the year. Your bank advertises "continuous compounding," but in fact, it compounds continuously over each 24-hour day and posts interest to accounts daily. (Round your answers to two decimal places.)

a)What effective rate did you receive?

%

(b)What nominal rate is the calculation based on?

%

(c)What difference is there between what the bank is doing and true continuous compounding?

In this case, the absolute value of the difference in the final amounts earned is $

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
1. If a bank advertises a savings account that pays a 6% nominal interest rate compounded...
1. If a bank advertises a savings account that pays a 6% nominal interest rate compounded continuously, what is the effective annual percentage rate? 2. Bank A offers a nominal annual interest rate of 5% compounded daily, while Bank B offers continuous compounding at a 4.6% nominal annual rate. If you deposit $3,000 with each bank, what will be the difference in the two bank account balances after two years? (Show ALL work and formulas used!)
5A-1 FV CONTINUOUS COMPOUNDING If you receive $15,000 today and can invest it at a 6%...
5A-1 FV CONTINUOUS COMPOUNDING If you receive $15,000 today and can invest it at a 6% annual rate compounded continuously, what will be your ending value after 15 years? 5A-2 PV CONTINUOUS COMPOUNDING In 7 years, you are scheduled to receive money from a trust established for you by your grandparents. When the trust matures there will be $200,000 in the account. If the account earns 9% compounded continuously, how much is in the account today? 5A-3 FV CONTINUOUS COMPOUNDING...
Bank A offers a nominal annual interest rate of 4% compounded daily, while Bank B offers...
Bank A offers a nominal annual interest rate of 4% compounded daily, while Bank B offers continuous compounding at a 3.4% nominal annual rate. If you deposit $5,000 with each bank, what will be the difference in the two bank account balances after 3 years?
One bank advertises a nominal rate of 5.81% compounded semiannually. A second bank advertises a nominal...
One bank advertises a nominal rate of 5.81% compounded semiannually. A second bank advertises a nominal rate of 5.72% compounded weekly. What are the effective yields? (Round your answers to two decimal places.) first bank % second bank % In which bank would you deposit your money? first banksecond bank    
You have some money on deposit in a bank account which pays a nominal APR (or...
You have some money on deposit in a bank account which pays a nominal APR (or quoted) rate of 8.0944 percent, but with interest compounded daily (using a 365 day year). Your friend owns a security which calls for the payment of $10,000 after 27 months. Your friend's security is just as safe as your bank deposit, and your friend offers to sell it to you for $8,000 today. If you buy the security, by how much will the effective...
Another bank advertises a 9 month CD with a 6.15% APY, $1000 minimum deposit, nominal annual...
Another bank advertises a 9 month CD with a 6.15% APY, $1000 minimum deposit, nominal annual interest rate of 5,97%, compounded daily, using 30 day months, and hence a 360 day year. (a) Rounding to the nearest penny, compute the future value of this 9 month CD with a principal of $5,000 using the nominal compound interest rate of 5.97% and the compounding procedure actually used by the bank. (b) Rounding to the nearest penny, compute the future value of...
Assume that you are nearing graduation and have applied for a job with a local bank....
Assume that you are nearing graduation and have applied for a job with a local bank. As part of the bank’s evaluation process, you have been asked to take an examination that covers several financial analysis techniques. The first section of the test addresses discounted cash flow analysis. See how you would do by answering the following questions. a. Draw time lines for (1) a $100 lump sum cash flow at the end of Year 2, (2) an ordinary annuity...
The BCS National Bank pays 4% nominal interest on special three-year certificates. What is the effective...
The BCS National Bank pays 4% nominal interest on special three-year certificates. What is the effective annual rate if the interest is compounded a. every three months? b. daily? c. continuously
1. You want to deposit amounts in the bank at the end of 2011, 2012, 2013...
1. You want to deposit amounts in the bank at the end of 2011, 2012, 2013 and 2014, so that you have $1259.71 in your account on 1 January 2015. Calculate how large each of your payments would need to be if the bank compounds quarterly at 8% p.a. Show your calculation 2. If a term deposit paid an interest rate of 24% p.a. over the past six months, and the current balance is $1008, what was the amount initially...
11. EFFECTIVE VERSUS NOMINAL INTEREST RATES Bank A pays 6.5% interest compounded annually on deposits, while...
11. EFFECTIVE VERSUS NOMINAL INTEREST RATES Bank A pays 6.5% interest compounded annually on deposits, while Bank B pays 6% compounded daily. a. Based on the EAR (or EFF%), which bank should you use? (Select From I-V) You would choose Bank A because its EAR is higher. You would choose Bank B because its EAR is higher. You would choose Bank A because its nominal interest rate is higher. You would choose Bank B because its nominal interest rate is...