imported>Doug Williamson |
imported>Administrator |
Line 1: |
Line 1: |
| __NOTOC__
| | ''Economics''. |
| A rate of return - or cost of borrowing - expressed as the proportion by which the amount at the end of the period exceeds the amount at the start. | | A theory formalised by Irving Fisher, which links the level of prices with the amount of money in circulation. |
|
| |
|
| | It is defined as: P = MV/T, where P = price level, M = amount of money in circulation, V = velocity of circulation and T = volume of transactions. |
|
| |
|
| ==Example 1==
| | Monetarists believe that it is the amount of money in circulation which has the biggest effect on price levels and inflation rates. |
| GBP 1 million is borrowed or invested.
| |
|
| |
|
| GBP 1.03 million is repayable at the end of the period.
| | == See also == |
| | * [[Fisher's equation]] |
| | |
|
| |
|
|
| |
| The periodic yield (r) is:
| |
|
| |
| r = (End amount / start amount) - 1
| |
|
| |
| = (1.03 / 1) - 1
| |
|
| |
| = 0.03
| |
|
| |
| = '''3%'''
| |
|
| |
|
| |
| ==Example 2==
| |
| GBP 0.97 million is borrowed or invested.
| |
|
| |
| GBP 1.00 million is repayable at the end of the period.
| |
|
| |
|
| |
| The periodic yield (r) is:
| |
|
| |
| (End amount / start amount) - 1
| |
|
| |
| = (1.00 / 0.97) - 1
| |
|
| |
| = 0.030928
| |
|
| |
| = '''3.0928%'''
| |
|
| |
|
| |
| ==Example 3==
| |
| GBP 0.97 million is invested.
| |
|
| |
| The periodic yield is 3.0928%.
| |
|
| |
| Calculate the amount repayable at the end of the period.
| |
|
| |
| ===Solution===
| |
| The periodic yield (r) is defined as:
| |
|
| |
| r = (End amount / start amount) - 1
| |
|
| |
|
| |
| Rearranging this relationship:
| |
|
| |
| End amount = Start amount x (1 + r)
| |
|
| |
|
| |
| Substituting the given information into this relationship:
| |
|
| |
| End amount = GBP 0.97m x (1 + 0.030928)
| |
|
| |
| = '''GBP 1.00m'''
| |
|
| |
|
| |
| ==Example 4==
| |
| An investment will pay out a single amount of GBP 1.00m at its final maturity after one period.
| |
|
| |
| The periodic yield is 3.0928%.
| |
|
| |
| Calculate the amount invested at the start of the period.
| |
|
| |
| ===Solution===
| |
| As before, the periodic yield (r) is defined as:
| |
|
| |
| r = (End amount / start amount) - 1
| |
|
| |
|
| |
| Rearranging this relationship:
| |
|
| |
| Start amount = End amount / (1 + r)
| |
|
| |
|
| |
| Substitute the given data into this relationship:
| |
|
| |
| Start amount = GBP 1.00m / (1 + 0.030928)
| |
|
| |
| = '''GBP 0.97m'''
| |
|
| |
|
| |
| Check:
| |
|
| |
| 0.97 x 1.030928
| |
|
| |
| = 1.00, as expected.
| |
|
| |
|
| |
| ==See also==
| |
|
| |
| *[[Effective annual rate]]
| |
| *[[Discount rate]]
| |
| *[[Nominal annual rate]]
| |
| *[[Periodic discount rate]]
| |
| *[[Yield]]
| |
Economics.
A theory formalised by Irving Fisher, which links the level of prices with the amount of money in circulation.
It is defined as: P = MV/T, where P = price level, M = amount of money in circulation, V = velocity of circulation and T = volume of transactions.
Monetarists believe that it is the amount of money in circulation which has the biggest effect on price levels and inflation rates.
See also