|
About This Author
Come closer.
|
Complex Numbers
Complex Numbers
A complex number is expressed in the standard form a + bi, where a and b are real numbers and i is defined by i^2 = -1 (that is, i is the square root of -1). For example, 3 + 2i is a complex number.
The bi term is often referred to as an imaginary number (though this may be misleading, as it is no more "imaginary" than the symbolic abstractions we know as the "real" numbers). Thus, every complex number has a real part, a, and an imaginary part, bi.
Complex numbers are often represented on a graph known as the "complex plane," where the horizontal axis represents the infinity of real numbers, and the vertical axis represents the infinity of imaginary numbers. Thus, each complex number has a unique representation on the complex plane: some closer to real; others, more imaginary. If a = b, the number is equal parts real and imaginary.
Very simple transformations applied to numbers in the complex plane can lead to fractal structures of enormous intricacy and astonishing beauty.
| |
Another personal finance article to take a shot at. And I used to respect this source. Not so much anymore.
https://www.kiplinger.com/slideshow/retirement/T047-S014-7-ways-to-sabotage-your...
7 Ways to Sabotage Your Financial Future
I know the url says "slideshow" but it's just one page, at least with my noscript-running browser.
Why would anyone sabotage their own future?
What future?
Here are seven ways you can sabotage your own financial future and work against yourself.
1. Taking advice from someone just because they have a bunch of letters after their name. Oh, wait, that's not actually on there. Let's see what is.
Missing Out on Opportunities (to Save)
By following your FOMO on impulse purchases, you may keep missing out on savings opportunities and significantly decreasing the odds of achieving financial independence.
That's... well, that actually tracks with what I've been saying. Still, it may be worse to completely deny yourself anything "extra" just to sock the money away. Some people can do it. It's possible to do both saving for the future and making the occasional impulse purchase if you plan carefully and already have the basics (food, beer, etc.) taken care of.
Making Big Purchases with Irrevocable Consequences
With a helpful picture of a money pit (boat).
Resale value should always be considered when making big purchases.
I didn't buy my home for resale value. I'm not one of those suburbanite "but so-and-so will make my property value decrease." I *want* my property value to stay relatively low, because I'm paying taxes on the thing, and the more valuable the city thinks it is, the more taxes I pay. I'm not worried about resale value because I don't intend to move.
People be all like, "your house is an investment." No. Your second house is an investment, should you be so fortunate. The house you live in is a home.
And having spent my childhood around boats and boaters, well, no thanks.
Falling Prey to Lifestyle Creep
I live the lifestyle of a creep. Oh, wait, this means something else.
As income goes up, there is a natural desire for some people to increase spending and upgrade their lifestyle.
I don't know about "natural." A lot of that is seeing how other people live and getting into a "keeping up with the Joneses" competition. Some of it is comfort-seeking, though.
By constantly upgrading your lifestyle to keep up with or even outpace income growth, you may find that no matter how much income you earn you always feel squeezed.
One of the sentences in this section made me twitch; I'll let you figure out which one. Anyway, this isn't bad advice as far as it goes. Whenever I'd get a raise, I usually decided beforehand how much of it I'd budget for spending and how much for saving. I've heard "well, you were living on X dollars a year before the raise, and you can keep doing so when you make X+y," but in reality, inflation happens and you have to start spending more just to maintain your standard of living.
Setting the Wrong Priorities
Make sure you’re on track for retirement and financial independence before diverting too much money toward a child’s education or a second home.
I've talked to people who are resigned to working until the day they die. That's anathema to me, so I did something about it. At some point, you're going to become irrelevant and no one will hire you, or you'll be too sick to work, or both. Don't make other people, including your children if you have any, feel obligated to care for you when this happens.
That's actually the point this author makes, so no argument on this one.
Neglecting the Defense
A well-rounded financial plan blends offensive strategies, like investing in stocks, with defensive strategies, such as building an emergency fund and buying adequate insurance coverage.
Yeah, okay, but what to do first? The stock market has become the only way to build wealth long-term, what with interest rates at extreme lows. People see the paltry interest rates on savings and bonds and go, "What's the point?" But at the same time they tend to view the market with distrust, and yet investing in a diverse set of publicly traded corporations over the long term has always worked out in the long run (10-20 years). And if it ever doesn't work out, then we have bigger problems than money.
It used to be there was a middle ground, that, for instance, CDs would pay significantly higher interest than savings accounts, with only the opportunity cost of having your money tied up for a fixed amount of time -- not usually a problem for an emergency fund. But not these days.
Which leads us to
Making Temporary Losses Permanent
Someone told me recently they watched their account daily during the Great Recession in 2008. When their balance plummeted by 50%, they sold all of their investments in stocks and only held cash to avoid losing any more. Worse yet, when the market turned around, they stayed in cash, afraid to invest again for fear of losing more. Instead of avoiding more losses, he simply galvanized that one as a permanent loss of capital.
The biggest mistake people make is buying stocks on margin. Fortunately, that's usually impossible in a retirement account. The second biggest mistake is panic-selling. The thing to do, generally, when the market crashes, is to buy, not sell. This goes against every instinct most people have, so they're frightened of the whole idea.
Market drops, even big drops like the one yesterday, are not only inevitable, but a necessary part of the process. Most people know "buy low, sell high," but what's difficult about that is: how do you know when these points are reached? The answer is, you don't. It has been shown time and time again that there is no way to time the market. Even Warren Buffett, who is probably the greatest investor of all time, can't time the market. Sure, people get lucky sometimes, and you hear about them. And people get drastically unlucky at at other times, and you hear about them too.
But you know what is guaranteed to lose money? Sticking wads of cash under your mattress. If you did that with $1000 in 2010, what would it be worth now?
About $825 in terms of real purchasing power.
If, instead, you put that money into an exchange-traded fund? Well, depending on the fund, and the actual dates, but something like $3000, or $2500 in terms of 2010 purchasing power.
Not to mention that under the mattress is the first place a burglar will look, followed by your sock drawer.
All in all, this turns out not to be terrible advice; I just don't think it goes far enough. |
© Copyright 2024 Waltz en France (UN: cathartes02 at Writing.Com). All rights reserved.
Waltz en France has granted InkSpot.Com, its affiliates and its syndicates non-exclusive rights to display this work.
|
![Merit Badge in Quill Award
[Click For More Info]
Congratulations on winning Best Blog in the 2021 edition of [Link To Item #quills] !](https://images.Writing.Com/imgs/writing.com/writers/badges/group-Quill_Award-1375927_6.gif)
![Merit Badge in Quill Award 2
[Click For More Info]
2022 Quill Award - Best Blog - [Link To Item #1196512] . Congratulations!!!](https://images.Writing.Com/imgs/writing.com/writers/badges/group-Quill_Award_2-1375927_6.gif)
![Merit Badge in 30DBC Winner
[Click For More Info]
Congratulations on winning the Jan. 2019 [Link To Item #30dbc] !!](https://images.Writing.Com/imgs/writing.com/writers/badges/group-30DBC_Winner-2064535_14.gif)
![Merit Badge in Blogging
[Click For More Info]
Congratulations on winning an honorable mention for Best Blog at the 2018 Quill Awards for [Link To Item #1196512] . *^*Smile*^* This award was sponsored by the blogging consortium including [Link To Item #30dbc] , [Link To Item #blogcity] , [Link To Item #bcof] and [Link To Item #1953629] . For more details, see [Link To Item #quills] .](https://images.Writing.Com/imgs/writing.com/writers/badges/type-Blogging-2180.gif)
![Merit Badge in Highly Recommended
[Click For More Info]
I highly recommend your blog.](https://images.Writing.Com/imgs/writing.com/writers/badges/Kudos-Highly_Recommended.gif)
![Merit Badge in Opinion
[Click For More Info]
For diving into the prompts for Journalistic Intentions- thanks for joining the fun!](https://images.Writing.Com/imgs/writing.com/writers/badges/genre-Opinion-1150.gif)
![Merit Badge in High Five
[Click For More Info]
For your inventive entries in [Link To Item #2213121] ! Thanks for the great read!](https://images.Writing.Com/imgs/writing.com/writers/badges/Kudos-High_Five.gif)
![Merit Badge in Enlightening
[Click For More Info]
For winning 3rd Place in [Link To Item #2213121] . Congratulations!](https://images.Writing.Com/imgs/writing.com/writers/badges/general-Enlightening.gif)
![Merit Badge in Quarks Bar
[Click For More Info]
For your awesome Klingon Bloodwine recipe from [Link to Book Entry #1016079] that deserves to be on the topmost shelf at Quark's.](https://images.Writing.Com/imgs/writing.com/writers/badges/group-Quarks_Bar-2046190_12.gif)
