Simple Interest and Compound Interest Formulas 📖📖

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When compound monthly?

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[@vidya.hradha2930]

When compound quarterly A = P [1+R by 4 by 100]4n

[@vishaldahiya1222]

​@@vidya.hradha2930how to find compound interest of 43 days please reply

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[@itssosimple8808]

A=P(1+R/4/100)*4n

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​​@@itssosimple8808who to calculate compound interest of 43 days please reply which formula we use

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[@vidya014]

Dear Sir, A task for you. A stock with initial value $1. How do you translate its 20% Growth in Net Income, 9% Growth in Capital Invested, assuming P/E ratio is proportional to ROIC, ie if ROIC = 13, P/E = 13, into the Compounding Interest? What is the formula of compounding interest? What are the values of the stock after 1,3,5,7,9,11 years respectively. Note: G (net income) ≠ G (Compounding Interest) Compounding interest ≠ $1 * (1 + Gnet_income)^n_years

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3

[@vidya014]

Math teachers should be able to solve it.

[@BrainroTvz]

To calculate the compounded value of a stock given certain financial metrics, we need to translate the given growth rates and ratios into an effective compound interest rate for the stock's value. Key Concepts: Net Income Growth (G_net_income): The rate at which the net income of the company grows. Growth in Capital Invested (G_capital): The rate at which the capital invested in the company grows. Return on Invested Capital (ROIC): Calculated as ROIC = Net Income Capital Invested ROIC= Capital Invested Net Income ​ . Price-to-Earnings Ratio (P/E): This is proportional to ROIC, i.e., if ROIC increases, the P/E ratio increases proportionally. Given: 𝐺 net income = 20 % G net income ​ =20% 𝐺 capital = 9 % G capital ​ =9% P/E ratio ∝ ROIC P/E ratio∝ROIC Steps to Determine the Compounding Interest Rate: Determine ROIC Growth Rate: ROIC Growth Rate = 𝐺 net income 𝐺 capital = 20 % 9 % ROIC Growth Rate= G capital ​ G net income ​ ​ = 9% 20% ​ This shows the rate at which the efficiency of generating income from invested capital grows. Determine the Compounding Interest Rate: The P/E ratio growth is directly linked to the growth of ROIC. Therefore, assuming ROIC increases by 20% / 9%, and since P/E is proportional to ROIC, the effective compounding growth rate for stock value would mirror this. Let's compute this rate. Compounding Interest Formula: Future Value = Present Value × ( 1 + 𝑟 ) 𝑛 Future Value=Present Value×(1+r) n Where: 𝑟 r is the effective compounding interest rate. 𝑛 n is the number of years. Values of the Stock After 1, 3, 5, 7, 9, 11 years: Let's calculate the compounding interest rate and the stock value over the years. First, we'll calculate the effective growth rate. The effective compounding interest rate is 20%. The values of the stock after 1, 3, 5, 7, 9, and 11 years, respectively, are as follows: 1 year: $1.20 3 years: $1.73 5 years: $2.49 7 years: $3.58 9 years: $5.16 11 years: $7.43 These values reflect the compounded growth of the stock based on the provided growth rates and the relationship between ROIC and the P/E ratio

[@vidya014]

1×(1.20^2÷1.09)^11 = 21.3941942997

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