Question

In: Finance

Examples are needed for each of the followingFuture Value Function: FV = PV * (1+i)^n...

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])

Solutions

Expert Solution

(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)


Related Solutions

There are five time value of money components – FV, PV, N, I, and PMT. Briefly...
There are five time value of money components – FV, PV, N, I, and PMT. Briefly describe each and create a hypothetical and realistic calculation word problem to find one of the components
Present and future value tables of $1 at 3% are presented below: N FV $1 PV...
Present and future value tables of $1 at 3% are presented below: N FV $1 PV $1 FVA $1 PVA $1 FVAD $1 PVAD $1 1 1.03000 0.97087 1.0000 0.97087 1.0300 1.00000 2 1.06090 0.94260 2.0300 1.91347 2.0909 1.97087 3 1.09273 0.91514 3.0909 2.82861 3.1836 2.91347 4 1.12551 0.88849 4.1836 3.71710 4.3091 3.82861 5 1.15927 0.86261 5.3091 4.57971 5.4684 4.71710 6 1.19405 0.83748 6.4684 5.41719 6.6625 5.57971 7 1.22987 0.81309 7.6625 6.23028 7.8923 6.41719 8 1.26677 0.78941 8.8923 7.01969 9.1591...
Present and future value tables of $1 at 3% are presented below: N FV $1 PV...
Present and future value tables of $1 at 3% are presented below: N FV $1 PV $1 FVA $1 PVA $1 FVAD $1 PVAD $1 1 1.03000 0.97087 1.0000 0.97087 1.0300 1.00000 2 1.06090 0.94260 2.0300 1.91347 2.0909 1.97087 3 1.09273 0.91514 3.0909 2.82861 3.1836 2.91347 4 1.12551 0.88849 4.1836 3.71710 4.3091 3.82861 5 1.15927 0.86261 5.3091 4.57971 5.4684 4.71710 6 1.19405 0.83748 6.4684 5.41719 6.6625 5.57971 7 1.22987 0.81309 7.6625 6.23028 7.8923 6.41719 8 1.26677 0.78941 8.8923 7.01969 9.1591...
Present and future value tables of $1 at 3% are presented below: N FV $1 PV...
Present and future value tables of $1 at 3% are presented below: N FV $1 PV $1 FVA $1 PVA $1 FVAD $1 PVAD $1 1 1.03000 0.97087 1.0000       0.97087       1.0300       1.00000       2 1.06090 0.94260 2.0300       1.91347       2.0909       1.97087       3 1.09273 0.91514 3.0909       2.82861       3.1836       2.91347       4 1.12551 0.88849 4.1836       3.71710       4.3091       3.82861       5 1.15927 0.86261 5.3091       4.57971       5.4684       4.71710      ...
Hello, I am confused on the difference between PV and PV (annuity), FV and FV(annuity). I...
Hello, I am confused on the difference between PV and PV (annuity), FV and FV(annuity). I do not know when to use one formula over the other. Is there a way you can simplify when to use each formula? The key differences? Key phrases or words I should associate them with? An easy way to remember how each formula is used? I am confused on TVM equations. For example) #1. You buy a property for $100,000 and you are offered...
With respect to $3888.38 = FV (I, N, PMT, PV) in Excel, what does the $3888.38...
With respect to $3888.38 = FV (I, N, PMT, PV) in Excel, what does the $3888.38 represent? (Note: The third element is a payment.) How do I explain the $3338.38 to a colleague?
Derivation of FV of Ordinary Annuity (FV=PMT[(1+i)^n -1)]/i)
Derivation of FV of Ordinary Annuity (FV=PMT[(1+i)^n -1)]/i)
Provided are links to the present and future value tables: (PV of $1, FV of $1,...
Provided are links to the present and future value tables: (PV of $1, FV of $1, PVA of $1, and FVA of $1) (Use appropriate factor(s) from the tables provided. Round your answer to the nearest whole dollar.) a. How much would you have to deposit today if you wanted to have $43,000 in four years? Annual interest rate is 9%. b. Assume that you are saving up for a trip around the world when you graduate in three years....
Provided are links to the present and future value tables: (PV of $1, FV of $1,...
Provided are links to the present and future value tables: (PV of $1, FV of $1, PVA of $1, and FVA of $1) (Use appropriate factor(s) from the tables provided. Round your answer to the nearest whole dollar.) a. How much would you have to deposit today if you wanted to have $40,000 in five years? Annual interest rate is 8%. b. Assume that you are saving up for a trip around the world when you graduate in three years....
Provided are links to the present and future value tables: (PV of $1, FV of $1,...
Provided are links to the present and future value tables: (PV of $1, FV of $1, PVA of $1, and FVA of $1) (Use appropriate factor(s) from the tables provided. Round your answer to the nearest whole dollar.) a. How much would you have to deposit today if you wanted to have $48,000 in four years? Annual interest rate is 9%. b. Assume that you are saving up for a trip around the world when you graduate in two years....
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT