QUOTE(lagenda110 @ Nov 2 2023, 10:14 AM)
U calculate and show here la
| Parameter | Value |
| ---------------------------- | --------------------------------------------- |
| **Starting CPF Balance** | - Husband: $130,000 |
| | - Wife: $130,000 |
| **Monthly Salary** | - Husband: $8,000 |
| | - Wife: $8,000 |
| **Monthly CPF Contribution** | - Husband: Approximately $2,960 |
| | - Wife: Approximately $2,960 |
| **Annual Interest Rate** | - Assumed 4% (compounded) |
| **Desired CPF Balance** | - $1,000,000 |
| Calculation Details: |
| -------------------------------------------------------------------------- |
| To determine if you can reach a combined CPF balance of $1 million by |
| the time you're 65 years old, we can use the information provided and |
| make some assumptions. |
| |
| 1. **Starting Balance:** Both you and your spouse have at least $130,000 |
| each in your CPF Special Account (SA) and MediSave Account (MA) |
| combined. So, the starting balance for each person is $130,000. |
| |
| 2. **Salary:** Both of you have a salary of 1 month $8,000. Assuming you |
| each contribute your Ordinary Wages (OW) to CPF, which includes both |
| the employee and employer contributions, it's typically around 37% of |
| your salary. This means you both contribute around $2,960 per month |
| to CPF (37% of $8,000). |
| |
| 3. **Interest Rate:** You mentioned a prevailing interest rate of 4% |
| compounded over time. For CPF calculations, it's essential to use the |
| specific CPF interest rates applicable during the years in question, |
| as they can vary. But for this example, let's assume a constant 4% |
| annual interest rate. |
| |
| Now, you can calculate the growth of your CPF balance over time. You |
| want to find out when your combined CPF balance will reach $1 million. |
| You can use a future value formula. |
| |
| FV = P * (1 + r)^n |
| |
| Where: |
| - FV is the future value ($1,000,000) |
| - P is the periodic contribution ($2,960 per month) |
| - r is the periodic interest rate (4% annually, so 0.04/12 per month) |
| - n is the number of periods (in months) |
| |
| Now, you can solve for n (the number of months it will take to reach |
| $1,000,000). |
| |
| n = log(($1,000,000 / $2,960), (1 + 0.04/12)) |
| |
| Using this formula, you can calculate how many months it will take to |
| reach $1 million. Keep in mind that this is a simplified calculation, |
| and CPF interest rates can vary over time. |
Starting CPF Balance for each person: $130,000
Monthly Salary for each person: $8,000
Monthly CPF Contribution for each person: Approximately $2,960
Annual Interest Rate: Assumed 4% (compounded)
Since they both contribute approximately $2,960 per month to CPF and you want to find out their balance at age 65, you'll have to calculate the future value of these contributions with the assumed interest rate of 4%.
You can use the future value formula:
FV = P * [(1 + r)^n - 1] / r
Where:
FV is the future value (the CPF balance at age 65)
P is the periodic contribution ($2,960 per month)
r is the periodic interest rate (4% annually, so 0.04/12 per month)
n is the number of periods (in months) until they both reach age 65, given that they are currently 30 years old (which is equivalent to 35 years or 420 months).
$130,000 compoind interest after 35 years
= $ 130,000 * (1 + 0.04)^35
= $ 512,991
FV = $ 512,991 + $2,960 * [(1 + 0.04/12)^(35*12) - 1] / (0.04/12)
= $ 3.2176 millions
Calculating this will give you an approximate CPF balance for one person at age 65. To get the combined balance for both husband and wife, you can simply double this result, as both have similar contributions and starting balances.
The calculation should give you an estimate of their CPF balance at age 65 based on the provided information and assumptions.
$ 3.2176 millions !!!!!!
Just having both the husband and wife with a $4,000 monthly salary for each person at age 30 is sufficient to potentially reach more than 1 million in their CPF accounts.
Please see my previous post again.
This post has been edited by plouffle0789: Nov 2 2023, 11:24 AM