Module 7: Mathematics of Buying ang Selling Flashcards
is calculated on the original principal amount and is paid at the end of the load
simple interest
is the fee or rent that lenders charge to borrowers for the temporary use of borrowed money
interest
is the amount borrowed
principal
is the percentage of the principal that will be charged for a specified period of time (e.g. daily weekly, monthly, yearly, etc.)
rate of interest
mathematical treatment of simple interest: principal amount of the loan or investment
P
mathematical treatment of simple interest: annual rate
r
mathematical treatment of simple interest: time period (term)
t
mathematical treatment of simple interest: amount of interest paid or recieved
I
mathematical treatment of simple interest: maturity value
F
simple interest formulas
I=Prt
P= I/rt
P = F/(1+rt)
F= P+I
F= P(1+rt)
I=F-P
the first day of a loan
loan date
is the last day of the loan
due date (maturity date)
uses 30 days in every month
approximate time
uses the exact number of days in every specific month
actual time
is compound in 365 days in a year as the time factor denominator
exact interest
is a type of interest wherein the number of days is computed based on 360 days in a year
ordinary interest
banker’s rule
ordinary interest in actual time
the procedure in which interest is periodically calculated and added to the principal.
compound interest
the time interval between succeeding interest calculations
conversion period/ compounding period/ interval period
is the number of compoundings that take place in a year
compound frequency/ conversion frequency
mathematical treatment of compound interest: nominal interest rate
j
mathematical treatment of compound interest: no. conversion/year
n
mathematical treatment of compound interest: periodic interest rate
i
compound interest formulas
F= P(1+i)^n
n=tm
i= j/m
P=F/(1+n)^n
periodic interest rate (i) multiplied by the number of periods in a year; does not take compounding into account
nominal interest rate
more accurate measure of interest; calculated based on the nominal interest rate and its compounding periods
effective interest rate
effective rate formula
r=(1+j/m)^m-1
nominal rate formula
j=m(m (sqrt. (1+r)) -1)