FINA 2201 Study Guide - Annual Percentage Rate, Effective Interest Rate, Nominal Interest Rate

What is the relationship between discounting and compounding?

What is the relationship between the present-value factor and the annuity present-value factor?

What will $5,000 invested for 10 years at 8 percent compounded annually grow to? How many years will it take $400 to grow to $1,671 if it is invested at 10 percent compounded annually? At what rate would $1,000 have to be invested to grow to $4,046 in 10 years?

Calculate the future sum of $1,000, given that it will be held in the bank for 5 years and earn 10 percent compounded semiannually.

What is an annuity due? How does this differ from an ordinary annuity?

What is the present value of an ordinary annuity of $1,000 per year for 7 years discounted back to the present at 10 percent? What would be the present value if it were an annuity due?

What is the future value of an ordinary annuity of $1,000 per year for 7 years compounded at 10%? What would be the future value if it were an annuity due?

You have just borrowed $100,000, and you agree to pay it back over the next 25 years in 25 equal end-of-year payments plus 10 percent compound interest on the unpaid balance. What will be the size of these payments?

What is the present value of a $1,000 perpetuity discounted back to the present at 8 percent?

What is the present value of a $1,000 annuity for 10 years, with the first payment occurring at the end of year 10 (that is, ten $1,000 payments occurring at the end of year 10 through 19), given a discount rate of 10 percent?

Given a 10 percent discount rate, what is the present value of an perpetuity of $1,000 per year if the first payment does not begin until the end of year 10?

What is the relationship between discounting and compounding?

What is the relationship between the present-value factor and the annuity present-value factor?

What will $5,000 invested for 10 years at 8 percent compounded annually grow to? How many years will it take $400 to grow to $1,671 if it is invested at 10 percent compounded annually? At what rate would $1,000 have to be invested to grow to $4,046 in 10 years?

Calculate the future sum of $1,000, given that it will be held in the bank for 5 years and earn 10 percent compounded semiannually.

What is an annuity due? How does this differ from an ordinary annuity?

What is the present value of an ordinary annuity of $1,000 per year for 7 years discounted back to the present at 10 percent? What would be the present value if it were an annuity due?

What is the future value of an ordinary annuity of $1,000 per year for 7 years compounded at 10%? What would be the future value if it were an annuity due?

You have just borrowed $100,000, and you agree to pay it back over the next 25 years in 25 equal end-of-year payments plus 10 percent compound interest on the unpaid balance. What will be the size of these payments?

What is the present value of a $1,000 perpetuity discounted back to the present at 8 percent?

What is the present value of a $1,000 annuity for 10 years, with the first payment occurring at the end of year 10 (that is, ten $1,000 payments occurring at the end of year 10 through 19), given a discount rate of 10 percent?

Given a 10 percent discount rate, what is the present value of an perpetuity of $1,000 per year if the first payment does not begin until the end of year 10?

QUESTION 1 The time value of money refers to the issue of: A. what the value of the stream of future cash flows is today. B. why a dollar received tomorrow is worth more than a dollar received today. C. what the time required to double an amount of money. D. why people prefer to consume things at some time in the future rather than today.

QUESTION 2 The process of converting an amount given at the present time into a future value is called: A. annualizing. B. discounting. C. compounding. D. capital budgeting. 2 points

QUESTION 3 Juan Vinson is planning to buy a house in five years. He is looking to invest $25,000 today in an index mutual fund that will provide him a return of 12 percent annually. How much will he have at the end of five years? (Round to the nearest dollar.) A. $45,000 B. $28,000 C. $44,059 D. $28,530 2 points

QUESTION 4 Which of the following statements is true with respect to the present value of a future amount? A. The higher the discount rate, the higher the present value of a single sum for a given time period. B. The relation between present value and time is exponential. C. The greater the time period, the higher the present value of a single sum for a given interest rate. D. The lower the discount rate, the lower the present value of a single sum for a given time period. 2 points

QUESTION 5 Which of the following statements is true of the rule of 72? A. It can be used to determine the amount of time it takes to double an investment. B. It is fairly accurate for interest rates between 25 and 50 percent. C. It states that the time to double your money (TDM) approximately equals 72/i, where i represents the years it takes to double your investment. D. It can be used to estimate approximate compound interest earned for a period of 72 days. 2 points

QUESTION 6 The present value of future cash flows are computed by multiplying future value with the: A. discounting factor. B. compound factor. C. interest rate. D. number of periods. 2 points

QUESTION 7 The present value of multiple cash flows is: A. greater than the sum of the cash flows. B. equal to the sum of all the cash flows. C. less than the sum of the cash flows. D. higher or lower than the cash flows depending on the interest rate. 2 points

QUESTION 8 Cash flows associated with annuities are considered to be: A. an uneven cash flow stream. B. a constant cash flow stream. C. a mix of constant and uneven cash flow streams. D. a cash flow stream with decreasing trend. 2 points

QUESTION 9 The annuity transformation method is used to transform: A. a present value annuity to a future value annuity. B. a present value annuity to an annuity due. C. an ordinary annuity to an annuity due. D. a perpetuity to an annuity. 2 points

QUESTION 10 The true cost of borrowing is the: A. annual percentage rate. B. effective annual rate. C. quoted interest rate. D. periodic rate.