An investment offers a stated annual rate of 6 percent compounded monthly. What is the effective annual rate?

Correct answer: 6.17 percent.

Explanation

EAR accounts for compounding frequency. Monthly compounding means m=12.

Other questions

Question 1

An interest rate is best described as which of the following?

Question 2

Which component is added to the real risk-free rate to determine the nominal risk-free rate?

Question 3

The risk that a borrower will not make promised payments in a timely manner is best described as:

Question 4

Which of the following premiums compensates investors for the risk of loss when converting an asset to cash quickly?

Question 5

Given a stated annual interest rate of 10 percent compounded quarterly, what is the Effective Annual Rate (EAR)?

Question 7

As the frequency of compounding increases within a year, holding the stated annual rate constant, what happens to the Effective Annual Rate (EAR)?

Question 8

An investor deposits 1,000 USD today into an account earning 8 percent compounded annually. How much will the account be worth in 5 years?

Question 9

What is the future value of 500 USD invested today at 6 percent compounded quarterly for 2 years?

Question 10

An investor wants to have 10,000 USD in 5 years. If the account earns 5 percent compounded annually, how much must be deposited today?

Question 11

How much must be invested today at 8 percent compounded semiannually to accumulate 5,000 USD in 4 years?

Question 12

Which of the following best describes an ordinary annuity?

Question 13

What is the Future Value of an ordinary annuity paying 200 USD per year for 3 years at 10 percent interest?

Question 14

Calculate the Present Value of an ordinary annuity of 500 USD per year for 5 years at 6 percent.

Question 15

An annuity due is distinguished from an ordinary annuity by which feature?

Question 16

If the Future Value of an ordinary annuity is 1,000 USD, what is the Future Value of an annuity due with the same terms (same N, PMT, and I/Y)?

Question 17

Calculate the Future Value of an annuity due paying 100 USD per year for 3 years at 5 percent.

Question 18

What is the Present Value of an annuity due of 200 USD for 3 years at 10 percent?

Question 19

A perpetuity pays 100 USD per year indefinitely. If the required rate of return is 5 percent, what is the present value?

Question 20

Preferred stock paying a fixed dividend of 4.50 USD forever is priced with a required return of 8 percent. What is its value?

Question 21

What is the present value of the following cash flow stream at 10 percent? Year 1: 100 USD, Year 2: 200 USD, Year 3: 300 USD.

Question 22

Calculate the Future Value at the end of year 3 of these cash flows earning 10 percent: Year 1: 100 USD, Year 2: 200 USD, Year 3: 300 USD.

Question 23

The Cash Flow Additivity Principle implies that:

Question 24

To fund a future liability of 10,000 USD due in 5 years, how much must be deposited annually (end of year) starting one year from now at 7 percent?

Question 25

A loan of 5,000 USD is to be repaid in equal annual installments over 5 years at 9 percent. What is the annual payment?

Question 26

How many years will it take for 1,000 USD to grow to 2,000 USD at 8 percent compounded annually?

Question 27

An investment quadruples in value over 12 years. What is the annual compound rate of return?

Question 28

Constructing a time line is most useful for:

Question 29

Which calculator mode should be used for an annuity where the first payment occurs today?

Question 30

A deferred annuity is one where:

Question 31

To calculate the PV of a deferred annuity starting in Year 4 (first payment at t=4), one approach is to find the PV of the annuity at t=3 and then:

Question 32

In a loan amortization schedule for a standard fixed-rate mortgage, the interest component of the payment:

Question 33

Calculate the PV of a perpetuity paying 100 USD starting 4 years from now (first payment at t=4) at 5 percent.

Question 34

The formula PV = FV / (1 + I/Y)^N assumes:

Question 35

If a bank quotes a savings rate of 4 percent compounded daily, and another offers 4 percent compounded quarterly, which should you choose?

Question 36

What is the key difference between the cash flow keys (CF) and time value keys (TVM) on a financial calculator?

Question 37

An investor puts 100 USD in a bank account at t=0. At t=1, the balance is 110 USD. He deposits another 100 USD at t=1. If the rate remains 10 percent, what is the balance at t=2?

Question 38

If you need 50,000 USD for a down payment in 3 years, and you can earn 6 percent compounded monthly, how much must you deposit today?

Question 39

Real risk-free rate = 2 percent. Inflation premium = 3 percent. Default risk premium = 2 percent. Liquidity premium = 1 percent. Maturity risk premium = 1 percent. What is the nominal risk-free rate?

Question 40

Using the same premiums as Question 39, what is the required interest rate on a 10-year corporate bond with those specific risk characteristics?

Question 41

Which of the following is strictly a theoretical rate?

Question 42

If a cash flow stream pays 200 USD at t=1 and 200 USD at t=2, it is best described as:

Question 43

Calculating the number of periods (N) to reach a financial goal requires:

Question 44

An investor makes a 500 USD payment at the beginning of each of the next 3 years. This stream is:

Question 45

The stated annual interest rate is 12 percent. What is the semiannual periodic rate?

Question 46

The sum of the present values of a series of cash flows is the:

Question 47

A 1,000 USD par value bond pays a 50 USD coupon annually and matures in 10 years. If the discount rate is 5 percent, the bond price is closest to:

Question 48

In TVM calculations on a financial calculator, if PV is entered as a negative number, FV will be:

Question 49

An investment of 100 USD yields 150 USD in 4 years. The equation to find the annual rate r is:

Question 50

Generally, opportunity cost is best defined as: