Chapter 12 Six Functions of a Dollar Flashcards
The six related compound interest functions used in the mathematics of finance and shown in standard compound interest tables.
The six functions of a dollar
The six functions of a dollar are:
· Amount of $1 (The amount to which $1 will grow)
· Amount of $1 Per Period (The amount to which $1 per period will grow)
· Sinking Fund Factor (The amount per period which will grow to $1)
· Present Value of $1 (What $1 due in the future is worth today)
· Present Value of $1 per period (What $1 payable periodically is worth today)
· Partial Payment (Amount to amortize $1)
contract providing for regular payments of predictable amounts. Regular payments are those that occur at a constant periodic rate, such as monthly, quarterly, or annually. Predictable amounts include those that are level, that escalate based on the Consumer Price Index, that step up, or that can be predicted in any other way
annuity
What is the future value of $20,000 if you deposited it today in a savings account paying 9% interest per year, and left it, without making any other deposits, for 12 years? $48,891.32 $53,266.54 $56,253.30 $64,567.89
$56,253.30
-refer to 9% table column 1
Compounding is used to solve for \_\_\_\_\_\_\_\_\_\_\_ values, whereas discounting solves for \_\_\_\_\_\_\_\_\_\_\_ values. Present, future Future, present Future, concurrent Present, past
future, present
In the Six Functions of a Dollar table, column \_\_\_ is also called the annuity column. 1 2 4 5
2
What is the sinking fund factor amount if you planned to replace the roof of your investment property (at a cost of $7,500) in 20 years and you expected the funds to grow at the rate of 9% per year? $146.60 $187.90 $198.27 $222,89
$146.60
column 3
At a 9% annual “discount” rate, what is the present worth of $20,000 if you will not receive it for another 13 years? $5,555.62 $6,282.90 $6,523.58 $10,420.62
$6,523.58
column 4
At a 9% annual “discount” rate, what is the present worth of a 20 year mortgage note that gives you annual payments of $3,500? $18,302.84 $23,591.26 $28,816.90 $31,949.91
$31,949.91
column 5??
What is the annual mortgage payment necessary to amortize a $185,000 mortgage for 25 years at 9% interest? $18,834.11 $19,256.98 $21,374.80 $24,396.11
$18,834.11
column 6, mortgage cap rate
"The continuous and systematic additions to a principal sum over a series of successive time periods so that previously earned interest earns interest" is the definition of Investment value Compound interest Simple interest Interest per period
compound interest
In the Six Functions of a Dollar table, column \_\_\_ is also called the Annuity Column. 1 2 4 5
2
Compounding and discounting are \_\_\_\_\_\_\_\_\_\_\_. Opposites Equal Complementary Not related
opposites
In the Six Functions of a Dollar table, column \_\_\_ is the Sinking Fund Factor Column. 1 2 3 4
3
A Mortgage Capitalization Rate is also called a Mortgage Ratio Mortgage Constant Equity Dividend Rate Reversion Rate
mortgage constant