Math of Finance Flashcards
(32 cards)
is a quick and easy method of calculating the interest charge on a loan. It is determined by multiplying the daily interest rate by the principal by the number of days that elapse between payments.
Simple Interest
is the capital or sum of money borrowed or invested.
Principal
it is calculate as a percent of the principal
Interest
This is the fraction part of the principal that is paid on the loan or investment, which is usually expressed as percent
Rate
The number of years for which the money is borrowed or invested
Time
The sum composed of the principal and interest accumulated over a certain period of time
Future Value/Maturity Value
Interest Earned
I
Interest Rate
r
number of years
t
Principal or present value
P
future vale or accumulated value
F
I = ?
Prt
F = ?
P + I
P(1+rt)
is an interest computed every conversion period whose principal amount includes the specified interest earned every end of the conversion date.
Compound Interest
This is the interest resulting from the periodic addition of simple interest to the principal amount.
Compound Interest
This is an accumulated amount composed of the principal and the compound interest.
Compound Amount
This refers to the number of times in a year the interest will be compounded.
Conversion Period
If interest is compounded either annually, semi- annually, quarterly, or monthly, basic compound interest
F = P * (1 + j/m) ^ (mt)
I = F - P or F = P * (1 + i) ^ n
I
Compound Interest
i
period rate (i = j/m)
n
number of conversion periods for the whole term (n = mt)
m
number of conversion periods
t
time or term of investment which is expressed in years
j
- nominal rate of interest per year (r in simple interest)