Will Kenton is an professional on the economy and also investing laws and also regulations. He formerly held senior editorial roles at couchsurfingcook.com and Kapitall Wire and holds a MA in business economics from The new School because that Social Research and Doctor of philosophy in English literature from NYU." data-inline-tooltip="true">Will Kenton

Peggy James is a CPA v over 9 years of endure in accountancy and finance, consisting of corporate, nonprofit, and personal finance environments. She most recently functioned at battle each other University and is the owner the Peggy James, CPA, PLLC, serving tiny businesses, nonprofits, solopreneurs, freelancers, and individuals.

You are watching: The reward-to-volatility ratio is given by _________.

## What Is the Treynor Ratio?

The Treynor ratio, likewise known as the reward-to-volatility ratio, is a performance metric for determining just how much overabundance return was produced for every unit the risk taken on by a portfolio.

Excess return in this sense refers to the return earned over the return that might have to be earned in a risk-free investment. Although over there is no true risk-free investment, treasury receipt are often used to represent the risk-free return in the Treynor ratio.

Risk in the Treynor proportion refers to methodical risk as measured through a portfolio"s beta. Beta procedures the tendency of a portfolio"s return to change in an answer to transforms in return for the in its entirety market.

The Treynor proportion is a risk/return measure up that enables investors to change a portfolio's return for methodical risk.A greater Treynor proportion result method a portfolio is a much more suitable investment.The Treynor proportion is comparable to the Sharpe ratio, although the Sharpe ratio provides a portfolio's traditional deviation to change the portfolio returns.

The Treynor proportion was occurred by Jack Treynor, one American economist who was one of the inventors of the funding Asset Pricing design (CAPM).

## understanding the Treynor ratio

### The Formula because that the Treynor ratio is:

﻿TreynorRatio=rp−rfβpwhere:rp=Portfolioreturnrf=Risk-freerateβp=Betaoftheportfolioeginaligned & extTreynor Ratio=fracr_p - r_feta_p\ & extbfwhere:\ &r_p = extPortfolio return\ &r_f = extRisk-free rate\ &eta_p = extBeta the the portfolio\ endaligned​TreynorRatio=βp​rp​−rf​​where:rp​=Portfolioreturnrf​=Risk-freerateβp​=Betaoftheportfolio​﻿

### What does the Treynor ratio Reveal?

In essence, the Treynor ratio is a risk-adjusted measure of return based upon systematic risk. The indicates just how much return one investment, such as a investment portfolio of stocks, a common fund, or exchange-traded fund, earned for the quantity of hazard the investment assumed.

If a portfolio has a an unfavorable beta, however, the ratio an outcome is no meaningful. A greater ratio an outcome is an ext desirable and means that a given portfolio is most likely a much more suitable investment. Due to the fact that the Treynor ratio is based on historical data, however, it's important to keep in mind this does no necessarily indicate future performance, and also one ratio must not be the only factor relied upon for investing decisions.

### exactly how the Treynor ratio Works

Ultimately, the Treynor ratio attempts come measure exactly how successful an investment is in giving compensation to investors for taking on invest risk. The Treynor proportion is reliant ~ above a portfolio's beta—that is, the sensitivity the the portfolio's returns to movements in the market—to judge risk.

The premise behind this ratio is that investors should be compensated for the risk inherent to the portfolio, since diversification will certainly not eliminate it.

### Difference in between the Treynor Ratio and Sharpe ratio

The Treynor proportion shares similarities with the Sharpe ratio, and also both measure the risk and return of a portfolio.

The difference in between the 2 metrics is that the Treynor ratio utilizes a investment portfolio beta, or systematic risk, to measure volatility rather of adjusting investment portfolio returns utilizing the portfolio's standard deviation as done with the Sharpe ratio.

### constraints of the Treynor proportion

A key weakness that the Treynor proportion is that is backward-looking nature. Invest are most likely to perform and behave differently in the future than they walk in the past. The accuracy of the Treynor proportion is highly dependent on the usage of ideal benchmarks to measure beta.

For example, if the Treynor ratio is offered to measure up the risk-adjusted return of a residential large-cap common fund, it would be inappropriate to measure the fund"s beta relative to the Russell 2000 tiny Stock index.

The fund"s beta would likely be understated relative to this benchmark since large-cap stocks tend to be less volatile in general than tiny caps. Instead, beta have to be measured versus an index more representative of the large-cap universe, such together the Russell 1000 index.

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Additionally, there space no dimensions upon which to location the Treynor ratio. As soon as comparing comparable investments, the greater Treynor ratio is better, every else equal, however there is no meaning of how much much better it is 보다 the other investments.