In: Finance
Examples are needed for each of the following
Future Value Function: FV = PV * (1+i)^n
Annuity Function: pmt: ((1/i)-(1/(i(1+i)^n))
Present Value Function: =pv(rate,nper,pmt,[fv], [type]
Future Value Function: =fv(rate,nper,pmt,[pv],[type]
Number of Periods Function: =nper(rate,pmt,pv,[fv],[type])
Interest Rate Function: =rate(nper,pmt,pv,[fv],[type],[guess])
(i)
Where:
FV = the future value of money
PV = the present value
i = the interest rate or other return that can be
earned on the money
t = the number of years to take into
consideration
n = the number of compounding periods of interest
per year
Using the formula above, let’s look at an example where you have $5,000 and can expect to earn 5% interest on that sum each year for the next two years. Assuming the interest is only compounded annually, the future value of your $5,000 today can be calculated as follows:
FV = $5,000 x (1 + (5% / 1) ^ (1 x 2) = $5,512.50
(ii)
Annuity Formula
FV=PMT(1+i)((1+i)^N - 1)/i
where PV = present value FV = future value PMT = payment per period i = interest rate in percent per period N = number of periods
example
PMT = $200 per month i = 15% per year = 1.25% per month = 0.0125 N = 30 years = 360 months
(iii)
rate | 5% |
nper | 2 |
pmt | 100 |
FV | 0 |
PV | ₹ 185.94 |
PV =(RATE,NPER,PMT,FV,TYPE)
PV =(5%,2,100,0)
(iv)
rate | 5% |
nper | 2 |
pmt | 100 |
PV | 0 |
FV | ₹ 205.00 |
FV =(RATE,NPER,PMT,PV,TYPE)
FV=(5%,2,100,0)
(v)
rate | 5% |
pmt | 100 |
PV | 0 |
FV | ₹ 205.00 |
nper | 2 |
NPER =(RATE,PMT,PV,FV)
NPER =(5%,100,0,205)
(vi)
nper | 2 |
pmt | 100 |
PV | 0 |
FV | ₹ 205.00 |
rate | 5% |
RATE =(NPER,PMT,PV,FV)
RATE =(2,100,0,205)