The formula to calculate real return given nominal return is r = (1 + R) / (1 + i)- 1, where r = real rate of return, R
= nominal rate of return, and i = inflation rate.
Not exact matches
The only important thing a Neo-Wicksellian would add is that it's important to distinguish between
nominal and real
rates of interest (real
= nominal minus inflation), so if we have a 2 % inflation target we add 2 % to the natural
rate to get the «neutral»
nominal rate.
Included in the PowerPoint: Macroeconomic Objectives (AS Level) a) Aggregate Demand (AD) and Aggregate Supply (AS) analysis - the shape and determinants of AD and AS curves; AD
= C+I+G + (X-M)- the distinction between a movement along and a shift in AD and AS - the interaction of AD and AS and the determination of the level of output, prices and employment b) Inflation - the definition of inflation; degrees of inflation and the measurement of inflation; deflation and disinflation - the distinction between money values and real data - the cause of inflation (cost - push and demand - pull inflation)- the consequences of inflation c) Balance of payments - the components of the balance of payments accounts (using the IMF / OECD definition): current account; capital and financial account; balancing item - meaning of balance of payments equilibrium and disequilibrium - causes of balance of payments disequilibrium in each component of the accounts - consequences of balance of payments disequilibrium on domestic and external economy d) Exchange
rates - definitions and measurement of exchange
rates -
nominal, real, trade - weighted exchange
rates - the determination of exchange
rates - floating, fixed, managed float - the factors underlying changes in exchange
rates - the effects of changing exchange
rates on the domestic and external economy using AD, Marshall - Lerner and J curve analysis - depreciation / appreciation - devaluation / revaluation e) The Terms of Trade - the measurement of the terms of trade - causes of the changes in the terms of trade - the impact of changes in the terms of trade f) Principles of Absolute and comparative advantage - the distinction between absolute and comparative advantage - free trade area, customs union, monetary union, full economic union - trade creation and trade diversion - the benefits of free trade, including the trading possibility curve g) Protectionism - the meaning of protectionism in the context of international trade - different methods of protection and their impact, for example, tariffs, import duties and quotas, export subsidies, embargoes, voluntary export restraints (VERs) and excessive administrative burdens («red tape»)- the arguments in favor of protectionism This PowerPoint is best used when using worksheets and activities to help reinforce the ideas talked about.
For small values of inflation, simply subtracting the inflation
rate from the
nominal return gives a reasonably accurate approximation of the real return, but for larger values, the exact formula should be used.4 For our example the formula is 2.11 / 1.26 - 1
= 1.67 — 1
= 0.67
= 67 % (2.11 is the
nominal, investment growth factor calculated as $ 21,090 / $ 10,000, and 1.26 is the inflation factor derived in the previous paragraph).
Using the
nominal 6 percent fixed
rate, solving for r
= (1 + 0.06 / 12) ^ 12 - 1, gets r
= 1.0616778 - 1, or 0.061678; when changed to a percentage, it equals 6.1678 percent.
The formula for the real income of an investment at year N is: Inflation adjusted dividend income
= (initial dividend amount) * -LCB-[1 + (
nominal dividend growth
rate)-RSB- ^ N -RCB- / -LCB-[1 + (inflation
rate)-RSB- ^ N -RCB- Typically, you would use a
nominal dividend growth
rate of 5.5 % per year in the absence of other information and 3 % per year inflation.
If so, the formula becomes: Inflation adjusted dividend income
= (initial dividend amount) * (1.055 ^ N) / (1.03 ^ N) With preferred stock and / or bond income, use a
nominal dividend growth
rate of 0 %.
Treasury Yield
Rate (
nominal bond
rates)--(minus) Treasury Real Yield Rates (TIPS) = Implied Inflation Expecta
rates)--(minus) Treasury Real Yield
Rates (TIPS) = Implied Inflation Expecta
Rates (TIPS)
= Implied Inflation Expectations
Example: If the
nominal annual interest
rate is i
= 7.5 %, and the interest is compounded semi-annually (n
= 2), and payments are made monthly (p
= 12), then the
rate per period will be r
= 0.6155 %.
The Investment Return
= Initial Dividend Yield + Dividend Growth
Rate (annualized,
nominal)-- Inflation
= 4 % +5 % -3 %
= 6 %.
So, A
= 500000 (1 +0.036 / 365) ^ (30), or 501,481.57, or an interest of 1481.57, assuming the 3.6 % is the annual
nominal interest
rate and it is compounded daily.
Since the
nominal dividend growth
rate is 5.5 % and the long term inflation
rate is around 3.5 %, (1 + real
rate of growth)
= (1.055) / (1.035)
= 1.0193 or the real
rate of growth
= 1.93 %.
The EFFECT and
NOMINAL functions are only used for converting between the effective and nominal annual rates, where
NOMINAL functions are only used for converting between the effective and
nominal annual rates, where
nominal annual
rates, where p
= 1.
To quantify the statement, here are some quick Monte Carlo results (I have not checked them, but I'm pretty sure they're right) providing the type 1 error
rates (the probability of rejecting H0 when it is, in fact, true, for a
nominal 5 % test) for n
= 25 and rho (the lag - one serial correlation) between 0.1 and 0.9:
ECONOMIC OVERVIEW Currency: Australian Dollar ($ A) Market Exchange
Rate (5/24/02): US $ 1
= $ A1.79
Nominal Gross Domestic (GDP, 2001E): U.S. $ 365.8 billion Real GDP Growth
Rate (2001E): 4.1 % (2002F): 3.8 % Inflation
Rate (2001E): 4.3 % (2002F): 3.0 % Unemployment
Rate (2001E): 6.9 % (2002F): 7.0 % Current Account Balance (2001E): - $ 15.3 billion (2002F): - $ 16.9 billion Major Trading Partners: Japan, other Far East, European Union, United States Major Export Products: crude materials, food and live animals, mineral fuels and lubricants Major Import Products: machinery and transport equipment, manufactured goods, chemicals
ECONOMIC OVERVIEW Minister of the Economy: Roberto Lavagna Currency: Peso Financial Exchange
Rate: US$ 1
= 3.6 Argentine Pesos (10/29/02)
Nominal Gross Domestic Product (2001E): $ 267.6 billion (2002E): $ 111.3 billion Real GDP Growth
Rate: (2001E): -4.5 % (2002E): -13.7 % Inflation
Rate: (2001E): -1.1 % (2002E): 30.7 % Unemployment
Rate: (2002E): 22 % Current Account Balance as a % of GDP: (2001E): -1.7 % (2002E): 7.3 % Major Trading Partners: Brazil, United States, Japan, Uruguay, Chile, Germany, France Major Export Products (2000): Agricultural products (including manufacturing of agricultural products)(55 %), industrial products (30 %), energy (15 %) Major Import Products (2000): Consumer goods (23 %), industrial inputs (including raw materials)(34 %), capital goods (43 %)
ECONOMIC OVERVIEW Minister of Economic Development and Trade: German Oskarovich Gref Minister of Finance: Aleksey Leonidovich Kudrin Currency: Ruble Market Exchange
Rate (11/6/02): $ 1
= 31.8 rubles
Nominal Gross Domestic Product (GDP)(2001E): $ 319.3 billion; (2002E): $ 352.6 billion Real GDP Growth
Rate (2001E): 5.0 %; (2002E): 4.1 % Inflation
Rate (Change in Consumer Prices, Dec. 2000 - Dec.