Financial Cash Flows Examples
This calculator focuses on financial cash flow calculations for
- IRR, internal rate of return.
- NPV, net present value.
- NFV, net future value.
- MIRR, modified internal rate of return.
- PB, payback.
- DPB, discounted payback.
The List Manager can be used to add, edit, delete or change the order of the cash flows.
If entering monthly cash flows, store 12 for PYR to calculate annual rates.
IRR and PB Example
Calculate the IRR and PB for the following cash flow:
| Year | Cash Flow |
|---|---|
| 0 | -4000 |
| 1 | 1200 |
| 2 | 1410 |
| 3 | 1875 |
| 4 | 1050 |
| Value | Keystrokes | Display | Description |
|---|---|---|---|
| shift + C cf | Clears the financial list. | ||
| 1 | STO P/YR | 1.00 | Stores the payments per year. |
| -4000 | CF0 | -4,000.00 | Stores the CF0 value. |
| 1200 | CFj | 1,200.00 | Stores the CFj value. |
| 1410 | CFj | 1,410.00 | Stores the CFj value. |
| 1875 | CFj | 1,875.00 | Stores the CFj value. |
| 1050 | CFj | 1,050.00 | Stores the CFj value. |
| shift Σf | 1,535.00 | Calculate the sum of the cash flows to verify the entries. | |
| IRR | 14.30 | Calculates the IRR | |
| PB | 2.74 | Calculates the PB |
The History Detail
Calculates the Internal Rate of Return
1.00 : The periods per year.
14.30 : The internal rate of return.
List: listf
-4,000.00
1,200.00
1,410.00
1,875.00
1,050.00
Calculates the Payback
2.74 : The payback.
List: listf
-4,000.00
1,200.00
1,410.00
1,875.00
1,050.00
if you navigate to the List Manager , you should see this list:
Be sure you are viewing the financial "f" list.
Plotting
Tap the "plot" key to view a plot of the data.
NPV, NFV and DPB Example
Calculate the NPV, NFV and DPB for the cash flow from the previous example for a rate of 10%.
| Value | Keystrokes | Display | Description |
|---|---|---|---|
| 10 | STO I/YR | 10.00 | Stores the annual rate. |
| 1 | STO P/YR | 1.00 | Stores the payments per year. |
| NPV | 382.08 | Calculates the NPV. | |
| shift, NFV | 559.40 | Calculates the NFV. (Cash Flows PYR Calculator) | |
| shift, DPB | 3.47 | Calculates the Discounted Payback |
The History Detail
Calculates the Net Present Value
10.00 : The Annual Rate.
1.00 : The periods per year.
382.08 : The net present value.
List: listf
-4,000.00
1,200.00
1,410.00
1,875.00
1,050.00
Calculates the Net Future Value.
10.00 : The Annual Rate.
1.00 : The periods per year.
559.40 : The net future value.
List: listf
-4,000.00
1,200.00
1,410.00
1,875.00
1,050.00
Calculates the Discounted Payback
10.00 : The discount rate.
3.47 : The discounted payback.
List: listf
-4,000.00
1,200.00
1,410.00
1,875.00
1,050.00
MIRR Example
Calculate the MIRR for the following cash flow:
| Year | Cash Flow |
|---|---|
| 0 | -1000 |
| 1 | -4000 |
| 2 | 5000 |
| 3 | 2000 |
| Value | Keystrokes | Display | Description |
|---|---|---|---|
| shift + clr f | Clears the financial list. | ||
| 1 | STO P/YR | 1.00 | Stores the payments per year. |
| -1000 | CF0 | -1,000.00 | Stores the CF0 value. |
| -4000 | CFj | -4,000.00 | Stores the CFj value. |
| 5000 | CFj | 5,000.00 | Stores the CFj value. |
| 2000 | CFj | 2,000.00 | Stores the CFj value. |
| shift Σf | 2,000.00 | Calculate the sum of the cash flows to verify the entries. | |
| 10 | STO I/YR | 10.00 | Stores the annual rate. |
| 12 | STO R/YR | 12.00 | Stores the reinvestment rate. |
| MIRR | 17.91 | Calculates the MIRR. |
The History Detail
Calculates the Modified Internal Rate Of Return.
10.00 : The Annual Rate.
12.00 : The Reinvestment Rate.
1.00 : The periods per year.
17.91 : The modified internal rate of return.
List: listf
-1,000.00
-4,000.00
5,000.00
2,000.00
Grouped Cash Flows Example
Calculate the MIRR for the following cash flow:
| Year | Cash Flow |
|---|---|
| 0 | -1000 |
| 1 | -4000 |
| 2 | 5000 |
| 3 | 2000 |
| 4 | 2000 |
| 5 | 2000 |
| Value | Keystrokes | Display | Description |
|---|---|---|---|
| shift + clr f | Clears the financial list. | ||
| 1 | STO P/YR | 1.00 | Stores the payments per year. |
| -1000 | CF0 | -1,000.00 | Stores the CF0 value. |
| -4000 | CFj | -4,000.00 | Stores the CFj value. |
| 5000 | CFj | 5,000.00 | Stores the CFj value. |
| 2000 | = or ENTER |
2,000.00 | Enters the CFj value. |
| 3 | Nj | 3.00 | Stores the CFj value 3 times. |
| shift Σf | 6,000.00 | Calculate the sum of the cash flows to verify the entries. | |
| 10 | STO I/YR | 10.00 | Stores the annual rate. |
| 12 | STO R/RY | 12.00 | Stores the reinvestment rate. |
| MIRR | 24.33 | Calculates the MIRR. |
The History Detail
Calculates the Modified Internal Rate Of Return.
10.00 : The Annual Rate.
12.00 : The Reinvestment Rate.
1.00 : The periods per year.
24.33 : The modified internal rate of return.
List: listf
-1,000.00
-4,000.00
5,000.00
2,000.00
2,000.00
2,000.00
Note that you only need to enter the frequency of grouped cash flows as needed.
Use the List Manger to
- edit individual values
- reorder the list
- add values
- delete values
Reference:
Internal rate of return - Wikipedia, the free encyclopedia
Net present value - Wikipedia, the free encyclopedia
Modified internal rate of return - Wikipedia, the free encyclopedia
Payback period - Wikipedia, the free encyclopedia
Discounted payback period - Wikipedia, the free encyclopedia