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复利入门:你的存款如何悄悄翻倍

复利入门:你的存款如何悄悄翻倍

复利入门:你的存款如何悄悄翻倍

发布于 2026-08-11 · 时长 10:40

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0:00Today we're going to talk about compound interest and I'm going to explain compound interest in an easy and visual way for beginners and by今天我们来谈谈复合兴趣 我会用一种 简单和视觉的方式解释复合兴趣
0:06The end of this video you should have an idea about how compound interest works and applies to your investment as well as how it's这段视频的结尾,你应该有一个想法 关于复合利息如何工作 并适用于你的投资
0:12Indirectly affects your wealth to fund management fees.间接影响您的财富来资助管理费.
0:15This is something you should absolutely be aware of这是你绝对应该知道的
0:18I will also share an easy rule of thumb on how to calculate the doubling time of an investment at a specific interest rate我将分享一个简单的大拇指规则 如何计算投资的加倍时间 以特定利率
0:24Also, make sure to stay tuned if you want to know how many days it takes to reach 1 million dollars if you start out with还有,如果你想知道要花多少天才能赚到100万美元的话 一定要听好
0:30$1 and W money each day每天一块钱和一块钱
0:32Let's begin开始吧
0:34Compound interest or interest on interest is this almost magical thing that you need to use to get your investments to grow利息或利息的复利 是几乎神奇的东西,你需要使用 得到你的投资增长
0:40Whether you keep your money in a savings account invest in stocks or in any other way你把钱存进储蓄账户 投资股票还是其他方式
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序号英文中文
1Today we're going to talk about compound interest and I'm going to explain compound interest in an easy and visual way for beginners and by今天我们来谈谈复合兴趣 我会用一种 简单和视觉的方式解释复合兴趣
2The end of this video you should have an idea about how compound interest works and applies to your investment as well as how it's这段视频的结尾,你应该有一个想法 关于复合利息如何工作 并适用于你的投资
3Indirectly affects your wealth to fund management fees.间接影响您的财富来资助管理费.
4This is something you should absolutely be aware of这是你绝对应该知道的
5I will also share an easy rule of thumb on how to calculate the doubling time of an investment at a specific interest rate我将分享一个简单的大拇指规则 如何计算投资的加倍时间 以特定利率
6Also, make sure to stay tuned if you want to know how many days it takes to reach 1 million dollars if you start out with还有,如果你想知道要花多少天才能赚到100万美元的话 一定要听好
7$1 and W money each day每天一块钱和一块钱
8Let's begin开始吧
9Compound interest or interest on interest is this almost magical thing that you need to use to get your investments to grow利息或利息的复利 是几乎神奇的东西,你需要使用 得到你的投资增长
10Whether you keep your money in a savings account invest in stocks or in any other way你把钱存进储蓄账户 投资股票还是其他方式
11Where you get interest returns on your investment投资的利息回报
12This is one of the most basic这是最基本的
13concept that you need to understand when you invest to be able to make smart decisions for your personal finances and take control over your在投资时需要理解的概念,以便能够为个人财务作出明智的决定,并控制你的
14And that I wish that I would have learned earlier as the time invested is the most important factor for the end result我希望我早点知道 投入的时间是最终结果的最重要因素
15there's a good reason why Einstein himself would have called compound interest the eighth wonder of the world and one of the most powerful forces in爱因斯坦自己为什么会 将复合兴趣称为世界第八大奇迹 和最强大的力量之一
16The universe and who am I to go against one of the world's most intelligent persons?宇宙与我是谁 对抗世界上最聪明的人之一?
17Compound interest lets your investments and savings grow by themselves while you sleep or eat or watch YouTube videos连带利息让你的投资和储蓄在睡觉或吃饭或看YouTube视频时自己增长
18Yep, I know what you're doing对,我知道你在做什么
19With compound interest your money will work for you and grow exponentially like the snowball effect加上利息,你的钱会为你效劳 像雪球效应一样成倍增长
20To understand compound interest first you have to understand simple interest要先了解复合利息,就必须了解简单的利息
21Meet Kevin and Cindy who are both 30 years old and want to invest during 30 years for their pensions认识Kevin和Cindy 他们都30岁 想在30年内投资养老金
22Kevin has got $1,000 to invest and on this money.Kevin有1000美元的投资 还有这笔钱
23He will get 10% interest rate equivalent to $100他会得到10%的利率 相当于100美元
24Every year Kevin withdraws the interest from the account but leaves the initial investment the principle of $1,000每年Kevin从账户中提取利息,但将1 000美元的原则留给初始投资。
25After one year Kevin gets $100 of interest and has now got一年之后,凯文得到100美元利息 现在得到了
26$1,100 in total after the second year he gets $100 of interest again and has now got第二年之后总共1100美元 他又得到100美元利息 现在有了
27$1,200 in total and you guessed it after three years the same thing happens again总共1200美元,你猜三年后, 同样的事情又发生了
28He gets $100 of interest and he has now got他得到100美元利息 现在他得到了
29$1,300 yeah, I think you got it after 30 years Kevin has got $3,000 of interest1300美元,我想你30年后就拿到它了 凯文有3000美元的兴趣
30$100 each year during 30 years and as he withdraws the interest every year30年里每年100美元,当他每年收回利息时
31He doesn't get any interest on interest or compound interest.他没有得到任何利息 或复合利息。
32So in total he has got $4,000 after 30 years30年后他总共得到了4000美元
33Now, let's see what happens to Cindy.看看辛迪会怎样
34She also invests $1,000 just as Kevin did and just as he did她也投资1000美元 就像凯文一样,就像他一样
35She also gets 10% interest rate on her investment each year她每年还得到10%的投资利率
36But instead of withdrawing the interest every year like Kevin did she leaves the money invested and gets compound interest但是她没有像凯文那样每年提利息,而是把投资的钱留下,得到复利
37After one year she gets $1,000 of interest just like Kevin一年之后,她得到1000元的利息 就像凯文一样
38When another year has passed it's time for the money to grow again and here comes the interesting part because after the second year再过一年,钱就该再增长了, 有趣的是,因为第二年之后
39She doesn't get $100, but 110.她没有100美元,但110美元。
40This is 10% of the money she accumulated after the first year这是她第一年后积累的10%
411,100 those of the two years she now has在她现在的两年中,有1 100人
42$1,210 after the third year has passed you get interest again and again this year第三年过了1 210美元,你今年又来来来回来来来来来回来来来来来来
43She gets more interest than the last year after the third year.她比三年后的最后一年更感兴趣
44She gets 10% of她得到的10%
45$1,210 which is $121 and now she has got1 210美元,是121美元 现在她得到了
46$1,301 in total and so on.总计1,301美元等.
47As time passes the earned interest increases each year as on the second year Cindy does not only get随着时间流逝,收入利息逐年增加,第二年辛迪不仅得到
48interest on her initial investment of $1,000 but also on the interest earned previous years.她最初投资的利息为1 000美元,但也为往年赚取的利息。
49The interest is compounding利息正在增加
50In this figure I visualized the growth of Kevin and Cindy's investments在这个图中,我看到了凯文和辛迪投资的增长
51The red line shows Kevin's growth without compound interest.红线显示凯文成长时没有复合兴趣.
52With compound interest Cindy's investment grows加上辛迪的利息投资增长
53Exponentially as the purple line shows.以紫线示证.
54The more interest her investment generates the faster it grows and here time is your best friend她的投资产生的兴趣越多 越快,这里的时间就是你最好的朋友
55You can see this clearly by looking at how fast $1,000 is earned.你可以通过看1000美元挣得多快看清楚。
56After about nine years the first过了九年,第一次
57$1,000 has doubled to over $2,000.1 000美元翻了一番,超过2 000美元。
58Then it goes faster and it takes only four additional years for the investment to grow to $3,000投资增长到3000美元 只需4年
59After that $4,000 is reached in less than three years and it grows faster and faster the more wealth has accumulated之后不到3年就赚到4000美元 并且增长得越快 积累的财富就越多
60Kevin does not get the same snowball effect as his money grows linearly and it takes the same amount of time to grow his凯文没有得到同样的雪球效果 他的钱线性增长 并且它需要同样的时间 成长他的
61investment from $1,000 to $2,000 as it does from $2,000 to $3,000 and so on.投资从1 000美元到2 000美元,投资从2 000美元到3 000美元等等。
62A rule of thumb that you can use to quickly一个可以快速使用的拇指规则
63Calculate the doubling time of an investment at a specific interest rate is the rule of 72 or the 72 rule按特定利率计算投资加倍时间是72规则或72规则
64The rule of 72 says that you can obtain the doubling time of an investment by dividing 72 with the interest rate in percentage72的规则说,你可以通过72除以利率的百分比来获得投资的加倍时间。
65If you expect an interest rate of 1% which is equivalent to the interest rate of many savings accounts these days如果您预期利率为1%, 相当于当前许多储蓄账户的利率
66Then it will take you 72 divided by 1 which is equal to 72 years to double your money然后用72除以1 等于72年的钱就能加倍
6772 years and this is without taking any taxation into account.72年,这并没有考虑任何税收。
68In reality at this rate事实上,以这个速度
69You will end up losing money due to the inflation as this is higher than 1% and your money will lose buying power你最终会因为通货膨胀而输钱,因为这比1%高,你的钱也会失去购买力
70With the rate of 2% which is equal to the inflation nowadays2%的通货膨胀率相当于现在的通货膨胀率
71It will take 36 years for the investment to double and with 10% interest rate equal to the stock market yearly returns投资需要36年才能翻一番,利率与股票市场年回报率持平10%
72It takes 7.2 years.花了7.2年时间
73So to not lose money to the inflation所以不要因为通货膨胀而输钱
74You have to invest them with a higher interest rate to really understand how powerful compound interest is你要用更高的利率来投资 才能真正理解复合利息有多强大
75Imagine that you start with $1 and then you double the money each day on the second day想象一下,你从一美元开始,然后你每天在第二天加倍钱
76You will have $2 on the third day.第三天你还有两块
77You will then have $4 on the fourth $8 and so on4块8,你还有4块
78Do you know how long time it will take to get to 1 million dollars?你知道要多久才能赚到100万美元吗?
7921 days now现在21天了
80It's far from realistic to think that you can double your money every day if you don't go to a casino and have an immense认为如果不去赌场 拥有一大笔钱 你每天可以加倍
81Amount of luck but this shows how powerful compound interest really is运气好,但是这说明 复合利息的威力
82The amount of money that you can accumulate depends on the interest rate the principle and the time invested您可以积累的资金金额取决于利率 原则和投入的时间
83The money will naturally grow faster with a higher interest rate利率越高,钱自然会增长更快
84But remember that the higher interest rate usually also means a higher risk for your investments但记住,高利率通常也意味着 你的投资风险更高
85The principle or initial investment is also important, but not as important as time原则或初始投资也很重要,但不如时间重要
86Let's take a look if you don't have as much investment time as Cindy did如果你没有辛迪那么多的投资时间,我们来看看
87But you want to reach the same amount in the end但你想最终达到同样数额
88Then you have to start with a higher principle那你得从更高的原则开始
89If you invest during 20 years instead of 30, then you need an initial investment of如果你投资20年而不是30年, 那你需要初始投资
90$2,6002 600美元
912.6 times more to reach the same result and if your investment horizon is only 10 years如果投资范围只有10年,达到同样结果的2.6倍
92You need a principle as high as你需要一个原则,如
93$6,700 or 6.7 times more to get the same end result6 700美元或多6.7倍,以获得同样的最终结果
94So if you're young then time is on your side and it can be worth investing even smaller amounts所以,如果你年轻,那么时间在你身边, 它可能值得投资更小的数额
95If you're a bit older when you start investing then if possible, it would be worth trying to invest higher amounts如果你在开始投资的时候年纪大一点的话 如果可能的话 值得投资更多
96But even smaller amounts will of course be able to grow with compound interest and make a difference in the end但是,更小的金额 当然能够增加 与复合利息 并在最后有所改变
97I'm often asked if compound interest only works for savings accounts我经常被问到复合利息是否只用于储蓄账户
98But it works with any investment where you get the return for example stocks or bonds但它与任何投资一起工作 在那里你得到回报,例如股票或债券
99If you want to know how to invest with compound interest and check out my recent video for different suggestions如果你想知道如何投资 与复合利息 并查看我最近的视频 不同的建议
100The whole concept with compound interest includes saving and investing instead of immediate rewards具有复合利息的整个概念包括储蓄和投资,而不是立即奖励
101It's interesting to consider how much immediate consumption would be worth in the future if you had invested in money instead考虑一下如果你投资了钱 未来会有多值钱
102A coffee on the go for about say $5 would be equal to $80 in 30 years一杯咖啡,大约5美元 等于30年的80美元
103Invested with 10% interest rate and compound interest or a lunch for around $10用10%的利率和复合利息投资或午餐10美元左右
104But in the same way be worth almost $160 with compound interest但同样地 价值近160美元 加上利息
105Now I'm not saying that you should never buy coffee or lunch我不是说你不该买咖啡或午餐
106But it's good to be aware so you can make smart economic decisions and have control of your consumption and investing但最好知道这样你才能做出明智的经济决定 控制你的消费和投资
107Often we just don't get one coffee, but maybe we get one coffee a week我们经常不喝咖啡 但也许我们每周喝一杯咖啡
108In one year, this will be $260再过一年,就赚了260美元
109And maybe this is not so much for you in one year也许这对你来说一年没有那么重要
110But after 30 years invested with compound interest, this could be $4,100 instead但30年后投资 与复合利息, 这可能是4100美元
111And that lunch could in the same way be $8,200那份午餐也可以是8200块
112Is it still worth it?还值得吗?
113Honestly, this was more than I expected老实说 这比我想象的还要多
114Another example of when compound interest has an effect is when looking at management fees of funds复利产生效应的另一个例子是,当审视资金的管理费时。
115It's easy to be fooled to think that a management fee of 0.2% or 2% does not matter that much认为0.2%或2%的管理费并不重要,
116The difference is just a small percentage差别很小
117But with compound interest this difference will grow larger the more time passes但加在一起的兴趣,这种差异会越长越大
118For one the management fee accumulates into a larger sum as time passes其中一项管理费随着时间的流逝而累积为更大的金额
119And for the second the fee also decreases your invested sum that can compound new interest the coming year而第二,费用也减少了你的投资总额 可以增加新的利息 在来年
120Let's take a look at the example of Cindy again让我们再看看辛迪的例子
121The first time I didn't take any fees into consideration我第一次不考虑任何费用
122But here you can see how much she would get if she had invested with a specific management fee percentage但在这里,你可以看到,如果她投资了特定的管理费百分比,她会得到多少.
123The fee of a mutual fund is commonly around 1-2% and for index funds the fees are lower and usually below 0.4%共同基金的费用通常在1-2%左右,而指数基金的费用则较低,通常低于0.4%。
124Hedge funds can have even higher fees of 2.5% or more汇兑基金收费可能更高,甚至高于2.5%
125Different performance based fees where the fund gets to take a greater fee if it beats its benchmark index also exists如果基金比基准指数高,则基金可收取更高的费用,但基于业绩的不同收费也存在
126If you're not familiar with different fund types make sure to subscribe to my channel and press the bell如果你不熟悉不同的基金类型 确保订阅我的频道 按铃
127So you don't miss any upcoming videos where we cover this in more detail所以你不要错过任何即将到来的视频 我们更详细地报道了这一点
128If Cindy had invested in an index fund with a yearly fee of 0.2%如果辛迪投资一个指数基金,年费为0.2%
129She would have had 94% of the sum she would get without fees often for 30 years她会得到94%的金额 不收费 30年
130If she instead had invested with a fee of 2% she would only have had 56% in the end如果她投资2%,她最终只投资56%
131So as you can see the fee is crucial for the end results所以,你可以看到收费 对于最终的结果至关重要
132When the bank sass at the fees 2% per year, maybe you think it's a bit expensive当银行每年开2%的价钱时, 也许你觉得有点贵
133But we still get to keep 98% so it cannot be that bad, right?但我们还是要保留98% 所以不会那么糟 对吧?
134If the bank instead would have told us that with this fee you would get to keep just over half of the money in 30 years如果银行会告诉我们 有了这笔钱 你30年就能把一半的钱留着
135We probably would have considered twice if we really should accept the deal or not我们也许会考虑两次 如果我们真的接受这个交易
136Should we then always invest with as low a fee as possible?那么我们是否应该尽可能低价投资?
137No, not necessarily没有,不一定
138If an actively managed fund can beat its benchmark index the higher fee can be justifiable如果一个积极管理的基金能够超越其基准指数,那么较高的收费是正当的
139But you should be aware that many actively managed funds are in reality disguised passive funds但你应该知道,许多积极管理的资金实际上是变相的被动资金
140This means that they pretend to be actively managed so that they can collect a higher fee这意味着他们假装被积极管理 这样他们就可以收取更高的费用
141What they're holding is so close to the passive index funds that there's no real possibility for them to differ from the index and beat it他们持有的 是如此接近 被动指数基金 他们没有真正的可能 与指数不同 并击败它
142And then the higher fee instead makes them perform even worse than the index然后,更高的收费 使得他们的表现比指数更差
143There's much more to say about this, but it has to be another video later这件事还有很多话要说 但以后必须再拍一段
144If you've gotten value from this video,如果你从这段录像中得到价值
145Please like and subscribe for more content involving personal finance请喜欢和订阅更多涉及个人财务的内容
146If you've gotten value from this video如果你从这段录像中得到价值
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