2. What is the effective annual interest rate in each situation? Show and explain all supportingcalculations.a. A savings account with 4% annual interest rate compounded daily (assume a year consists of365 days)?b. A savings account with 4% annual interest rate compounded monthly?

Effective annual interest rate is the actual Interest which is paid or received by taking into…

Answered: What is the effective annual interest…

FINANCIAL ACCOUNTING

10th Edition

ISBN:9781259964947

Author:Libby

Publisher:Libby

Chapter1: Financial Statements And Business Decisions

Section: Chapter Questions

Problem 1Q

See similar textbooks

Similar questions

Suppose you deposit m dollars the beginning of every month in a savings account that earns a monthly interest rate of r. For an initial investment of m dollars, the amount of money in your account at the beginning of the second month is the sum of your second deposit and your initial deposit plus interest. Denote by An the amount of money in your account in the nth month. 1. Explain why A₁ = m dollars. 2. Explain why A₂ = m+m(1+r) dollars. 3. Write down explicit expressions for A3 and A4. This is the crucial step. 4. Explain why An = m+m(1 + r) + m(1 + r)² + ... +m(1 + r)"−¹ dollars. 5. Use the formula for a geometric sum to show that An = m (1 + r)” − 1 r dollars. 6. If your account has a monthly interest rate r = 0.002 and you deposit $200 monthly for 5 years, how much money will you have in your account after the 5 years? (Hint: How many months?)
Suppose you invest $1,250 in an account paying 8% interest per year. a. What is the balance in the account after 3years? How much of this balance corresponds to "interest on interest"? b. What is the balance in the account after 31 years? How much of this balance corresponds to "interest on interest"?
The stated interest rate on your account is 5.6%, interest paid quarterly. Your effective rate of interest (APY) will be: (Keep 4 decimal places)
Suppose that at the end of each week for 30 years, $100 is deposited into an account that earns 6.8% annual interest, compounded weekly. (a) Find the total value in the account after the 30 years. (b) What is the total amount of the payments over the 30 years? (c) What is the total amount of interest earned over the 30 years?
Assume that at time 0 a sum L is lent for a series of n yearly payments. The rth payment, of amount xr, is due at the end of the rth year. Let the effective annual interest rate for the rth year be ir. Give an identity which expresses L in terms of the xr and ir.
In terms of an effective annual interest rate, how can the interest payment be rewritten?
What amount must be deposited today, if, starting one year from today, you wish to make 15 equal annual withdrawals of $3,450 from an account offering an annual stated rate of interest r = 0%?
For each of the following cases, indicate (a) to what rate columns, and (b) to what number of periods you would refer in looking up the interest factor. 1. In a future value of 1 table: Annual Rate Number of Years Invested Compounded (a) Rate of Interest a. 9% 12 Annually b. 8% 7 Quarterly C. 12% 16 Semiannually % % % (b) Number of Periods 2. In a present value of an annuity of 1 table: (Round "Rate of Interest" answers to 1 decimal place, e.g. 4.5% and other answers to O decimal places, e.g 45.) Annual Number of Years Rate Invested Number of Rents Involved Frequency of Rents (a) Rate of Interest (b) Number of Periods a. 10% 28 28 Annually b. 10% 15 30 Semiannually % % 8% 7 28 Quarterly %
The current amount A of a principal P invested in a savings account paying an annual interest rate r is given by A = P(1+r/n)^(rt) where n is the number of times per year the interest is compounded. For continuous compounding, A = Pe^(rt). Suppose $10,000 is initially invested at 2.5 percent (r = 0.025). a. Plot A versus t for 0 ≤ t ≤ 20 years for four cases: continuous compounding, annual compounding (n = 1), quarterly compounding (n = 4), and monthly compounding (n = 12). Show all four cases on the same subplot and label each curve. On a second subplot, plot the difference between the amount obtained from continuous compounding and the other three cases. b. Redo part a, but plot A versus t on log-log and semilog plots. Which plot gives a straight line?
9. A bank offers a savings account with a 3% annual interest rate, compounded monthly. What is the effective annual interest rate?
1. An installment loan is repaid a. in a single payment after a specified period of time. b. in equal payments over a specified period of time. 2. The amount of an installment loan depends on a. the amount financed, the number of payments, and the annual percentage rate. b. whether the borrower can afford to make a down payment. 3. With each monthly payment on an installment loan, the amount you owe to principal a. decreases. b. increases. 4. With each monthly payment on an installment loan, the percentage of your payment allocated to principal a. decreases. b. increases. 5. The final payment of an installment loan consists of a. the previous balance only. b. the previous balance plus current month's interest. 6. The finance charge on an 18-month, $5,000 installment loan is less thalon a a. 12-month, $5,000 installment loan. b. 24-month, $5,000 installment loan. Chap
Suppose you invest $850 in an account paying 5% interest per year. a. What is the balance in the account after 2 years? How much of this balance corresponds to "interest on interest"? b. What is the balance in the account after 29 years? How much of this balance corresponds to "interest on interest"? a. What is the balance in the account after 2 years? The balance in the account after 2 years is $ (Round to the nearest cent.)

SEE MORE QUESTIONS

Recommended textbooks for you

FINANCIAL ACCOUNTING

Accounting

ISBN:

9781259964947

Author:

Libby

Publisher:

MCG

Accounting

ISBN:

9781337272094

Author:

WARREN, Carl S., Reeve, James M., Duchac, Jonathan E.

Publisher:

Cengage Learning,

Accounting Information Systems

Accounting

ISBN:

9781337619202

Author:

Hall, James A.

Publisher:

Cengage Learning,

FINANCIAL ACCOUNTING

Accounting

ISBN:

9781259964947

Author:

Libby

Publisher:

MCG

Accounting

ISBN:

9781337272094

Author:

WARREN, Carl S., Reeve, James M., Duchac, Jonathan E.

Publisher:

Cengage Learning,

Accounting Information Systems

Accounting

ISBN:

9781337619202

Author:

Hall, James A.

Publisher:

Cengage Learning,

Horngren's Cost Accounting: A Managerial Emphasis…

Accounting

ISBN:

9780134475585

Author:

Srikant M. Datar, Madhav V. Rajan

Publisher:

PEARSON

Intermediate Accounting

Accounting

ISBN:

9781259722660

Author:

J. David Spiceland, Mark W. Nelson, Wayne M Thomas

Publisher:

McGraw-Hill Education

Financial and Managerial Accounting

Accounting

ISBN:

9781259726705

Author:

John J Wild, Ken W. Shaw, Barbara Chiappetta Fundamental Accounting Principles

Publisher:

McGraw-Hill Education

SEE MORE TEXTBOOKS

What is the effective annual interest rate in each situation? Show and explain all supporting calculations. a. A savings account with 4% annual interest rate compounded daily (assume a year consists of 365 days)? b. A savings account with 4% annual interest rate compounded monthly?