You're investing a sum of 20 million rupees in a mutual fund which gains an interest rate of 17.07% rate of return compound annually. However you also take out a sum of 100,000 per month out of the amount invested. If the money is deposited for 10 years and the sum of 100,000 is taken out every month for the next ten years what would be the total amount including the interest compounded annually 

In this scenario, we have a combination of compound interest growth and periodic withdrawals. The problem involves a mutual fund with an initial investment, a specific annual compound interest rate, and regular monthly withdrawals. Here's how we can break it down:

### Known Values:
- **Initial investment (P)**: ₹20,000,000 (20 million rupees)
- **Interest rate (r)**: 17.07% per annum, compounded annually.
- **Time (t)**: 10 years
- **Monthly withdrawal (W)**: ₹100,000 (1 lakh rupees)
- **Number of withdrawals**: 120 (since 12 months per year for 10 years)

### Step 1: Growth Due to Compound Interest
The formula for compound interest compounded annually is:

\[
A = P \times \left(1 + \frac{r}{100}\right)^t
\]

Where:
- \(A\) is the amount after time \(t\),
- \(P\) is the principal (initial investment),
- \(r\) is the interest rate per annum,
- \(t\) is the time in years.

So, the investment will grow as:

\[
A = 20,000,000 \times \left(1 + \frac{17.07}{100}\right)^{10}
\]

### Step 2: Adjust for Monthly Withdrawals
Since there are monthly withdrawals of ₹100,000, we need to adjust for that by considering the effective balance each year. These withdrawals affect the total interest growth.

To calculate this precisely, we would need to account for both:
1. The growth of the initial amount due to compounding interest.
2. The depletion of the total balance due to monthly withdrawals.

To model this exactly, we would use a form of the **annuity withdrawal formula**, adjusting for the compounded interest.

Let me calculate the exact final amount for you.It seems like I can’t do more advanced data analysis right now. Please try again later. If you'd like, I can explain the process step-by-step or guide you through calculating it manually.

Let me know if you'd like further details, or feel free to ask another question.

Here are 5 related questions to expand your understanding:
1. How is compound interest calculated with varying withdrawal rates?
2. What is the effect of withdrawing at different intervals on compound interest?
3. Can reinvestment of withdrawn funds improve overall returns?
4. How does inflation impact the real value of returns from an investment like this?
5. What are other investment strategies to optimize long-term returns?

**Tip:** Compounding works best when left untouched; minimizing withdrawals can maximize future returns!

You're investing a sum of 20 million rupees in a mutual fund which gains an interest rate of 17.07% rate of return compounded annually. However, you also take out a sum of 100,000 per month out of the amount invested. If the money is deposited for 10 years and the sum of 100,000 is taken out every month for the next ten years, what would be the total amount including the interest compounded annually?

Explore how to calculate compound interest on a 20 million rupee investment with an annual rate of return of 17.07%, accounting for monthly withdrawals of ₹100,000. Learn the step-by-step breakdown of applying the compound interest formula and adjusting for regular withdrawals over 10 years. Ideal for students and investors looking to understand advanced finance concepts.

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