Another thing I'd like to bring up, is that the strategy is completely dependent on the exchange
rate 
remaining (or if breached, soon returning) within a specific
range 
.
But nobody can ever guarantee that a price or
rate 
will remain within a
range 
for a particular amount of time, let alone forever. If it were possible, Writing options would be extremely lucrative: if the price isn't going to rise above a particular level before a particular date, write a call option; if the price isn't going to fall below a particular level before a particular date, write a put option. People make money like this every day, but when the day comes that the price does breach the strike price ("in-the-money"), they lose, and often big (especially if the options were naked).
The Mathematical "Proof" page states:
Quote:
|
These two countries are located in immediate proximity to each other and have the same types of economies. They look and act so much alike that if something affects one, it will almost always affect the other in a like manner.
|
Technically, these statements should not belong on a Mathematical "Proof" page because no quantitative evidence is provided to back these claims up. Even something simple like correlation coefficient would give a bit more credibility.
Anyway, the statements about the relationship between two countries are sweepingly broad and vague.
"located in immediate proximity to each other" is true, but how is this relevant? Many countries are next to each other but are very different to each other in many ways.
"have the same types of economies" is questionable... you'd really have to compare the numbers e.g.
GDP 
(including per capita), and what each country exports.
"They look and act so much alike that if something affects one, it will almost always affect the other in a like manner.": How do the countries "look and act so much alike"? Is this about the government? The people/culture? The economy? "affects" how? if there was a volcano eruption in New Zealand, would there be one in Australia? Or would the outfall affect Australia? The statement is not specific enough.
Instead of blindly assuming that the countries are "so much alike", it would be prudent for you to do a little research into the two countries and compare the numbers, because the strategy is reliant on the two countries being and behaving similarly.
Here are just a few numbers that I've found for you.
From Wikipedia:
Australia:
Area - Total
7,686,850 km2 (
6th)
2,967,909
sq mi -
Water (
%) 0.897
Population - 2009 estimate 21,807,000
[4] (
53rd) - 2006 census 19,855,288
[5] -
Density 2.833/km2 (
232nd)
7.3/sq mi
GDP (
PPP) 2008 estimate - Total US$795.305 billion
[6] (
17th) -
Per capita[6] (
15th) US$37,298
GDP (nominal) 2008 estimate - Total US$1,010 billion
[6] (
15th) -
Per capita[6] (
13th) US$47,400
New Zealand:
Area - Total
268,680 km2 (
75th)
103,738
sq mi -
Water (
%) 2.1
Population - March 2009 estimate 4,306,4006 (
122nd (2008)) - 2006 census 4,027,9477 -
Density 15/km2 (
201st)
39/sq mi
GDP (
PPP) 2008 estimate - Total $115.709 billion
[1] (
60) -
Per capita $27,060
[1] (
34)
GDP (nominal) 2008 estimate - Total $128.492 billion
[1] (
54) -
Per capita $30,049
[1] (
28)
From World Health Organization (Figures are for 2006 unless indicated. Source: World Health Statistics 2008):
Australia:
Total population: 20,530,000
Gross national income per capita (PPP international $): 33,940
Life expectancy at birth m/f (years): 79/84
Healthy life expectancy at birth m/f (years, 2003): 71/74
Probability of dying under five (per 1 000 live births): 6
Probability of dying between 15 and 60 years m/f (per 1 000 population): 82/47
Total expenditure on health per capita (Intl $, 2006): 3,122
Total expenditure on health as % of
GDP 
(2006): 8.7
New Zealand:
Total population: 4,140,000
Gross national income per capita (PPP international $): 25,750
Life expectancy at birth m/f (years): 78/82
Healthy life expectancy at birth m/f (years, 2003): 69/72
Probability of dying under five (per 1 000 live births): 6
Probability of dying between 15 and 60 years m/f (per 1 000 population): 91/59
Total expenditure on health per capita (Intl $, 2006): 2,447
Total expenditure on health as % of
GDP 
(2006): 9.4