Which of the following statements regarding the interest rates is correct? I As a result of compounding, the effective annual rate on a bank deposit (or a loan) is always equal to or less than the nominal rate on the deposit (or loan. Il If we are given a periodic interest rate, say a monthly rate, we can find the nominal annual rate by multiplying the periodic rate by the number of periods per year. III If a loan or an investment uses annual compounding, its nominal rate is also its effective rate I and Ill only Il and Ill only I and II only Oll only

Which of the following statements regarding the interest rates is correct? I As a result of compounding, the effective annual rate on a bank deposit (or a loan) is always equal to or less than the nominal rate on the deposit (or loan. Il If we are given a periodic interest rate, say a monthly rate, we can find the nominal annual rate by multiplying the periodic rate by the number of periods per year. III If a loan or an investment uses annual compounding, its nominal rate is also its effective rate I and Ill only Il and Ill only I and II only Oll only

Essentials Of Investments

11th Edition

ISBN:9781260013924

Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Chapter1: Investments: Background And Issues

Section: Chapter Questions

Problem 1PS

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(Ch 11 #9) There is a loan obligation to pay $1000 one year from today and another $1000 two years from today. Assuming the annual effective rate of interest is 10%, find the following: a) Macaulay duration of the loan. b) Modified duration of the loan. c) Convexity of the loan.
Pls show complete steps and both parts or skip it
Assume an effective compound interest rate i= 3% per annum. Compute the following equivalent rates. In each case, enter your answer as a percentage. a) The nominal interest rate payable semi-annually Number % Enter an answer correct to 4 decimal places. b) The effective interest rate payable quarterly Number Enter an answer correct to 2 decimal places. c) The effective rate of discount per annum Number Enter an answer correct to 2 decimal places. d) The nominal rate of discount payable monthly Number % Enter an answer correct to 4 decimal places.
Indicate whether the statement is true or false. 1. Given 10 and 30 year loans with the same interest rate, the 30 year loan results in a lower periodic payment. a. True b. False
The of the present values of all the payments required to pay off a loan is equal to the original principal of the loan. square root sum economic rate equivalent payment
An important application of compound interest involves amortized loans. Some common types of amortized loans are automobile loans, home mortgage loans, and business loans. Each loan payment consists of interest and repayment of principal. This breakdown is often developed in an amortization schedule. Interest is largest in the first period and declines over the life of the loan, while the principal repayment is smallest in the first period and it increases thereafter. Quantitative Problem: You need $11,000 to purchase a used car. Your wealthy uncle is willing to lend you the money as an amortized loan. He would like you to make annual payments for 5 years, with the first payment to be made one year from today. He requires a 5% annual return. a. What will be your annual loan payments? Do not round intermediate calculations. Round your answer to the nearest cent. $ b. How much of your first payment will be applied to interest and to principal repayment? Do not round intermediate…
Given a principal of $1.00 and a time period of one year, two interest rates are equivalent if: Select one: a. the nominal rates are the same but the compounding frequencies are different b. the nominal rates are different but the compounding frequencies are the same c. effective rates are not equal d. the amounts at the end of one year are the same for both rates
3.8 The following table shows the spot rates of interest over a number of horizons: (b) What is the effective rate of interest earned by this annuity-immediate if it were constant through the whole investment period? [Hint: Use the Excel function Rate to compute the rate of interest.] Period of investment (in years) Spot rate (in %) 1 6.00 2 7.00 3 7.75 4 8.25
Assess the following statements: 1. Simple interest calculations assume the interest earned is never reinvested. II. The real interest rate is the increment to purchasing power that the lender earns in order to induce him or her to forego current consumption. II. Earning a 5% interest rate with annual compounding is better than earning a 4.95% interest rate with semiannual compounding. IV. For any positive interest rate the present value of a given annuity will be less than the sum of the cash flows and the future value of the same annuity will be greater than the sum of the cash flows. All statements are correct. Two statements are incorrect. O Three statements are incorrect. Only one statement is incorrect.
The ___________ of an annuity is the amount that must be invested now at interest rate i per time period to provide n payments each of amount R.
A borrower would pay more total interest on a 10-year loan under an equal principal payment plan than on the same loan amortized under an equal total payment plan. A. True B. False

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