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Cashflow

Cashflow
represents a series of cash flows occurring at unit time intervals.
Cashflow
represents cash flows occurring at time intervals q.
Cashflow
represents cash flows occurring at the specified times.
  • TimeValue computes the time value of a cash flow as a single equivalent payment at the specified time t. Possible cash flow calculations include net present value, discounted cash flow, and internal rate of return.
  • Times and amounts can be given as numbers or arbitrary symbolic expressions.
  • In Cashflow, the can be given as numerical values or date expressions.
  • TimeValue computes the time value of a cash flow at date.
Compute the present value at 7% of a stream of cash flows occurring at regular time intervals:
Specify an interval at which cash flows occur:
Future value at 9% of a stream of cash flows occurring at irregular time intervals:
Find the net present value of a $1000 initial investment producing future incoming cash flows:
Internal rate of return of an investment with regular cash flows:
What payment at time 2 will make the net present value of a series of cash flows zero:
Solve for the point in time where a payment of $400 will make the net present value equal 0:
Compute the present value at 7% of a stream of cash flows occurring at regular time intervals:
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Specify an interval at which cash flows occur:
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Click for copyable input
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Future value at 9% of a stream of cash flows occurring at irregular time intervals:
In[1]:=
Click for copyable input
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Find the net present value of a $1000 initial investment producing future incoming cash flows:
In[1]:=
Click for copyable input
Out[1]=
 
Internal rate of return of an investment with regular cash flows:
In[1]:=
Click for copyable input
Out[1]=
 
What payment at time 2 will make the net present value of a series of cash flows zero:
In[1]:=
Click for copyable input
Out[1]=
 
Solve for the point in time where a payment of $400 will make the net present value equal 0:
In[1]:=
Click for copyable input
Out[1]=
Convert an Annuity object to a Cashflow object:
Cashflow works with date expressions:
Cashflow works with symbolic parameters:
Solutions to equations involving Cashflow can be found in terms of symbolic parameters:
Calculate the duration of a series of cash flows using the derivative function D:
Large cash flow sequences that obey a pattern can be generated through Annuity using a payment growth function:
Large cash flow streams can also be created using Table:
Use Plot and Plot3D to explore the various dependencies a series of cash flows has on a set of variables:
Dependence on interest rate:
Dependence on payment growth rate:
Use Plot3D to view the interest rate/growth rate landscape:
In return for receiving $600 at the end of 8 years, a person pays $100 immediately, $200 at the end of 5 years, and a final payment at the end of 10 years. What final payment amount will make the rate of return on the investment equal to 8% compounded semiannually:
Payments of $100, $200, and $500 are due at the end of years 2, 3, and 8, respectively. Find the point in time where a payment of $800 would be equivalent at 5% interest:
At what effective rate of interest will the present value of $2000 at the end of 2 years and $3000 at the end of 4 years be equal to $4000:
A Cashflow object with one cash flow is equivalent to a simple amount:
When specifying a valuation period in between payments of a Cashflow object, TimeValue calculates the future value of all cash flows before the valuation period, and the present value of all cash flows after the valuation period:
This is equivalent to the sum of present and future values here:
Cashflow[Annuity[pmt, n, q]] only works for numeric n and f:
Using numeric n allows Cashflow to convert the Annuity object as desired:
Use Manipulate to explore the various dependencies a series of cash flows has on a set of variables:
Plot the cash flows in a "sawtooth"-style cash flow stream together with the accumulated value as a function of time:
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