Real Estate Finance Ch. 3

Your friend has a trust fund that will pay him $100,000 at the end of 10 years. Your friend, however, wants his money today. He promises to sign his trust fund over to you if you give him some money today. You require a 20% interest rate on money you lend to friends. How much would you be willing to lend under these terms? (A) $16,151. (B) $50,000 (C) $80,000 (D) $0—it would be impossible to earn 20% interest on the loan.

(A) $16,151.

Your friend just won the lottery. He has a choice of receiving $50,000 a year for the next 20 years or a lump sum today. The lottery uses a 15% discount rate. What would be the lump sum your friend would receive? (A) $312,967 (B) $316,426 (C) $500,000 (D) $1,000,000

(A) $312,967

Begin with a single sum of money at period 0. First, calculate a future value of that sum at 12.01%. Then discount that future value back to period 0 at 11.99%. In relation to the initial single sum, the discounted future value: (A) Is greater than the original amount (B) Is less than the original amount (C) Is the same as the original amount (D) Cannot be determined with the information given

(A) Is greater than the original amount

The future value compound factor given for period (n) at 15%: (A) Would be less than the factor for period (n+1) at 15% (B) Would be greater than the factor given for period (n+1) at 15% (C) Would be the same as the factor given for period (n+1) at 15% (D) Bears no relationship to the factor for period (n+1) at 15%

(A) Would be less than the factor for period (n+1) at 15%

At the end of 8 years, your friend wants to have $50,000 saved for a down payment on a house. He expects to earn 8%—compounded monthly—on his investments over the next 8 years. How much would your friend have to put in his investment account each month to reach his goal? (A) $188 (B) $374 (C) $392 (D) $521

(B) $374

If an investment earns 12% annually: (A) An equivalent monthly investment would have to earn a higher equivalent nominal rate to yield the same return (B) An equivalent monthly investment would have to earn a lower equivalent nominal rate to yield the same return (C) An equivalent monthly investment would have to earn the same equivalent nominal rate to yield the same return (D) A relation cannot be determined between a monthly and annual investment

(B) An equivalent monthly investment would have to earn a lower equivalent nominal rate to yield the same return

If you saw a table containing the following factors, what kind of interest factor would you be looking at? End of Year - 6% 1 - 1.06000 2 - 1.12360 3 - 1.19101 4 - 1.26247 5 - 1.33822 (A) Present value of a single amount (B) Future value of a single amount (C) Present value of an annuity (D) Future value of an annuity

(B) Future value of a single amount

Ten years ago, you put $150,000 into an interest-earning account. Today it is worth $275,000. What is the effective annual interest earned on the account? (A) $225,000 (B) 6.00% (C) 6.25% (D) 8.33% (E) 74.99%

(C) 6.25%

A deposit placed in an interest-earning account earning 8% a year will double in value in ___ years. (A) 6 (B) 8 (C) 9 (D) 72 (E) It will never double in value

(C) 9

The future value of $1,000 compounded annually for 8 years at 12% may be calculated with the following formula: FV = $1,000 * (1 + 12%)8 If the same $1,000 was compounded quarterly, what formula would you use to calculate the FV? (A) FV = $1,000 * (1 + 3%)8 (B) FV = $1,000 * (1 + 12%)32 (C) FV = $1,000 * (1 + 3%)32 (D) FV = $1,000 * (1 + 12%)2

(C) FV = $1,000 * (1 + 3%)32

If you deposit $1,000 in an account that earns 5% per year, compounded annually, you will have $1,276 at the end of 5 years. What would be the balance in the account at the end of 5 years if interest compounds monthly? (A) $784 (B) $1,000 (C) $1,276 (D) $1,283

(D) $1,283

Which of the following is not a basic component of any compounding problem? (A) An initial deposit (B) An interest rate (C) A period of time (D) A net present value

(D) A net present value

The internal rate of return: (A) Is also known as the investment of investor's yield (B) Represents a return on investment expressed as a compound rate of interest (C) Is calculated by setting the price of an investment equal to the stream of cash flows it generates and solve for the interest rate (D) Can be defined by all of the above

(D) Can be defined by all of the above

The future value of a single deposit of $1,000 will be greater when this amount is compounded: (A) Annually (B) Semi-annually (C) Quarterly (D) Monthly

(D) Monthly

T or F: The internal rate of return is the good feeling you get inside when you earn a return on your investment

False

T or F: You always see an ordinary annuity used in business and never see an annuity due used in business.

False

T or F: Assume that an investment, with an single initial cost of $1,000 and a yield of $50 monthly for 10 years, had a 7% IRR in the 60th month and a 7.2% IRR five months later. The IRR can be 6.8% in the 62nd month

False

T or F: At 6%, the present value of a $1 payment in 12 months is .941905. At 7%, the present value of a $1 payment in 12 months is .950342.

False

T or F: One way to calculate the present value of a single payment is with the following formula: PV = FV * (1+i)n.

False

T or F: The future value of a $1 annuity compounded at 5% annually is greater than the future value of a $1 annuity compounded at 5% semi-annually.

False

T or F: An investment may have more than one internal rate of return

True

T or F: In order to solve a compounding problem, you must know all four of the variables in order to solve for the fifth variable.

True

T or F: The future value of $800 deposited today would be greater if that deposit earned 8% rather than 7.75%

True