Treynor Ratio Solution

STEP 0: Pre-Calculation Summary
Formula Used
Treynor's Ratio = (Expected Portfolio Return-Risk Free Rate)/Beta of the Portfolio
Tr = (Rp-Rf)/βp
This formula uses 4 Variables
Variables Used
Treynor's Ratio - Treynor's Ratio is a financial metric used to evaluate the risk-adjusted performance of an investment or a portfolio.
Expected Portfolio Return - The Expected Portfolio Return is the combination of the expected returns, or averages of probability distributions of possible returns, of all the assets in an investment portfolio.
Risk Free Rate - The Risk Free Rate is the theoretical rate of return of an investment with zero risks.
Beta of the Portfolio - The Beta of the Portfolio is the weighted sum of the individual asset betas.
STEP 1: Convert Input(s) to Base Unit
Expected Portfolio Return: 8 --> No Conversion Required
Risk Free Rate: 3 --> No Conversion Required
Beta of the Portfolio: 0.85 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Tr = (Rp-Rf)/βp --> (8-3)/0.85
Evaluating ... ...
Tr = 5.88235294117647
STEP 3: Convert Result to Output's Unit
5.88235294117647 --> No Conversion Required
FINAL ANSWER
5.88235294117647 5.882353 <-- Treynor's Ratio
(Calculation completed in 00.004 seconds)

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Created by Vishnu K
BMS College of Engineering (BMSCE), Bangalore
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Satyawati College (DU), New Delhi
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Important Formulas of Investment Calculators

Compound Interest
​ LaTeX ​ Go Future Value of Investment = Principal Investment Amount*(1+(Annual Interest Rate/Number of Periods))^(Number of Periods*Number of Years Money is Invested)
Certificate of Deposit
​ LaTeX ​ Go Certificate of Deposit = Initial Deposit Amount*(1+(Annual Nominal Interest Rate/Compounding Periods))^(Compounding Periods*Number of Years)
Capital Gains Yield
​ LaTeX ​ Go Capital Gains Yield = (Current Stock Price-Initial Stock Price)/Initial Stock Price
Risk Premium
​ LaTeX ​ Go Risk Premium = Return on Investment (ROI)-Risk Free Return

Treynor Ratio Formula

​LaTeX ​Go
Treynor's Ratio = (Expected Portfolio Return-Risk Free Rate)/Beta of the Portfolio
Tr = (Rp-Rf)/βp

What is Treynor Ratio?

Treynor's Ratio is particularly useful in the field of portfolio management to assess how much excess return a portfolio generates per unit of systematic risk, often measured by beta.
Treynor's Ratio indicates how much excess return the portfolio generates per unit of systematic risk it takes on. A higher Treynor's Ratio suggests better risk-adjusted performance.

Keep in mind that Treynor's Ratio, like any financial metric, has its limitations. It relies heavily on the accuracy of beta as a measure of systematic risk, which may not always accurately capture the true risk profile of a portfolio. Additionally, the use of past returns to calculate the ratio may not necessarily predict future performance accurately. Therefore, it's important to use Treynor's Ratio in conjunction with other metrics and qualitative analysis when evaluating investment decisions.

How to Calculate Treynor Ratio?

Treynor Ratio calculator uses Treynor's Ratio = (Expected Portfolio Return-Risk Free Rate)/Beta of the Portfolio to calculate the Treynor's Ratio, The Treynor Ratio formula is defined as a financial metric used to evaluate the risk-adjusted performance of an investment or a portfolio. It was developed by Jack Treynor, an economist and financial theorist. Treynor's Ratio is denoted by Tr symbol.

How to calculate Treynor Ratio using this online calculator? To use this online calculator for Treynor Ratio, enter Expected Portfolio Return (Rp), Risk Free Rate (Rf) & Beta of the Portfolio (βp) and hit the calculate button. Here is how the Treynor Ratio calculation can be explained with given input values -> 5.882353 = (8-3)/0.85.

FAQ

What is Treynor Ratio?
The Treynor Ratio formula is defined as a financial metric used to evaluate the risk-adjusted performance of an investment or a portfolio. It was developed by Jack Treynor, an economist and financial theorist and is represented as Tr = (Rp-Rf)/βp or Treynor's Ratio = (Expected Portfolio Return-Risk Free Rate)/Beta of the Portfolio. The Expected Portfolio Return is the combination of the expected returns, or averages of probability distributions of possible returns, of all the assets in an investment portfolio, The Risk Free Rate is the theoretical rate of return of an investment with zero risks & The Beta of the Portfolio is the weighted sum of the individual asset betas.
How to calculate Treynor Ratio?
The Treynor Ratio formula is defined as a financial metric used to evaluate the risk-adjusted performance of an investment or a portfolio. It was developed by Jack Treynor, an economist and financial theorist is calculated using Treynor's Ratio = (Expected Portfolio Return-Risk Free Rate)/Beta of the Portfolio. To calculate Treynor Ratio, you need Expected Portfolio Return (Rp), Risk Free Rate (Rf) & Beta of the Portfolio (βp). With our tool, you need to enter the respective value for Expected Portfolio Return, Risk Free Rate & Beta of the Portfolio and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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