你寧願銀行戶口永遠每日增加200蚊港幣,定係一筆過要100萬港幣?

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19 Like 766 Dislike
2024-05-07 16:05:22
19年幾
2024-05-07 16:06:37
洗極都增加200

梗係揀佢
2024-05-07 16:25:03
To determine the best option between receiving a one-time payment of $1,000,000 or receiving $200 daily indefinitely, we need to consider the present value (PV) of these cash flows. PV calculations will help us understand how much future cash flows are worth today, given a specific interest rate (or discount rate). Let's assume an annual interest rate of 5% for this calculation, which is a reasonable average rate for long-term investments. This interest rate needs to be converted into a daily rate for our calculations, as the $200 is a daily payment.

Step 1: Convert Annual Interest Rate to Daily Rate
If we assume the annual interest rate is compounded daily, the daily interest rate \( r \) is calculated from the annual rate \( R \) as follows:
\[ r = (1 + R)^{\frac{1}{365}} - 1 \]
\[ r = (1 + 0.05)^{\frac{1}{365}} - 1 \approx 0.000136 \text{ per day} \]

Step 2: Calculate the Present Value of Each Option

Option 1: $1,000,000 One-Time Payment
The present value of receiving $1,000,000 today is straightforward:
\[ PV_1 = \$1,000,000 \]

Option 2: $200 Daily Payment Indefinitely (Perpetuity)
The present value of a perpetuity is calculated using the formula:
\[ PV = \frac{C}{r} \]
Where \( C \) is the daily payment, and \( r \) is the daily interest rate. Substituting the values:
\[ PV_2 = \frac{\$200}{0.000136} \approx \$1,470,588 \]

Step 3: Comparison of Present Values
- Option 1 PV: $1,000,000
- Option 2 PV: Approximately $1,470,588
2024-05-07 16:59:20
定期3~4% , 每年拎3~4萬, 龜速式滾大?
定係股票all in or nothing 式玩命?
2024-05-07 17:07:02
年紀咁撚大先成球野有咩咁威
2024-05-07 17:21:27
如果我有十個戶口 。係咪每個戶口都有先
2024-05-07 17:30:34
200蚊好快3餐都唔夠
一個月得6千,一年7皮鬆,好聽係十幾年有1球,事實係根本用都用撚左
2024-05-07 17:48:15
Ching咁悲觀, 13年命都要懷疑自己有無
2024-05-07 18:21:29
Sor囉你用29/31日去計/你扣咗老強我唔知
2024-05-07 18:25:34
如果我條命有無限長/ 我嘅後代可以承繼就係
2024-05-07 18:46:51
你用計數機計下200*30等於幾多先
2024-05-07 18:50:26
你做到年均30% 仲洗咩攞個一球$200,返下老麥都夠做
2024-05-07 18:51:45
可能佢無我地咁長命
2024-05-07 19:12:17
$200 通脹
2024-05-07 19:23:59
只係想睇下關唔關個利率事。

揀200蚊既人話只要夠長命就贏。但如果你真係有能力(即係你可以搵超過年利率某個%),咁揀100萬既人先係正確。

問題係,果個「某個利率」有無人識計?我唔記得曬啲數學
2024-05-07 20:05:07
我用緊$2000乘,係嘅話我回帖主$6000啦

我嘅原意係想表示6皮我都想有
2024-05-07 20:34:18
傻閪
2024-05-07 20:50:56
2024-05-07 21:11:37
年利率 30%
代表放一百萬第一年會有 $300 000 利息
或者第一日就有 $720 利息
就可以每日都攞走 $720 而保持本金唔變

相比之下,戶口每日增加 $200 就太少
2024-05-07 21:18:40
即係如果有7.3%利率,200蚊就追唔到100萬
2024-05-07 21:19:58
唔識真心求教
樓上計嘅複利息會好多都係單一rate去計
想問有無考慮埋而家要維持某個息口好多都有啲要求
例如新資金/大額資金
所謂滾大佢其實會唔會未必做到
即係會唔會$200第一次本+息再投資已經維持唔到同一息口去滾落去
2024-05-07 21:20:04
又好似計少左,200蚊都可以有7.3%既增長
2024-05-07 21:26:37
其實都只係一個一個條件咁加上去,睇下你考慮埋咩野先再比較。

例如:年期、利率、時間推移之後既利率變化、日息複息定月息複息定年息複息、保持唔用所有錢etc

如果你再加埋新資金、大額資金下利率不同、最低入場費果啲,個結果可能又會唔同左
2024-05-07 21:40:24
去得in MT
唔會連future value都唔識都下話
2024-05-07 21:53:39
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