QuestionWorkingsCorrect Answer
1. One way to calculate the present value of a single payment is with the following formula: PV = FV × (1 + i)^nThe formula for present value (PV) is PV = FV / (1 + i)^n. The given formula is for future value (FV).b. False
2. The future value of $800 deposited today would be greater if that deposit earned 8% rather than 7.75%.Higher interest rates lead to higher future values due to the compounding effect.a. True
3. The longer you hold an investment (i.e., time period increases), the higher the present value will be.Present value decreases as the time period increases because future cash flows are discounted more.b. False
4. 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.More frequent compounding increases the future value, so semi-annually is better.b. False
5. 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?Compounding quarterly requires adjusting the interest rate and the number of periods. Quarterly rate: 12% / 4 = 3%. Number of periods: 8 years * 4 = 32 quarters.d. FV = $1,000 * (1 + 3%)^32
6. The internal rate of return:IRR is known as the investor’s yield, represents a compound rate of interest, and is calculated by setting the price equal to cash flows and solving for the interest rate.d. Can be defined by all of the above
7. The name for a series of equal, annual cash flows that are received at the end of each period is:An ordinary annuity involves cash flows at the end of each period.a. Ordinary annuity
8. An investment that costs $105,000 today is expected to produce the following cash inflows over each of the next 5 years: $20,000, $25,000, $23,000, $22,000, and $21,000. What is the IRR (compounded annually) for this investment?The IRR is the rate at which the net present value of the cash flows equals zero.d. 18.9%
9. A __________ estate represents the most complete form of ownership of real estate; the owner is free to divide it up into lesser estates and sell, lease, or borrow against them as he or she wishes.A fee simple estate represents the most complete ownership of real estate.c. Fee simple
10. A lessee is a person who holds the title to a piece of property.A lessee holds a leasehold interest, not the title.b. False
11. What legal document conveys title from one person to another?A deed is the legal document that transfers title.c. Deed
12. A mortgage is the same thing as a note.A mortgage is a security interest, while a note is a promise to repay the loan.b. False
13. A “short sale” of real estate is:A short sale occurs when the sale proceeds are less than the outstanding loan balance.c. A sale in which the proceeds from the sale are less than the balance owed on the loan secured by the property sold
14. A mortgage is BEST defined as a legal document that:A mortgage secures a loan by naming real estate as collateral.d. Names real estate as the security or collateral for the repayment of a loan
15. What term BEST describes the borrower who is personally liable for a debt obligation related to the purchase of a home?The borrower who is liable for the debt is the mortgagor.c. Mortgagor
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