# Relationship between roe and book value

### Return on equity - Wikipedia

This article examines the relationship between Return on Equity, Price to Book ratio and Price to Earnings Ratio, which may not be obvious to. Defining the return on equity (ROE) = EPS. 0. / Book Value of . Ratios and ROE. ○ Given the relationship between price-book value ratios and returns on. In corporate finance, the return on equity (ROE) is a measure of the profitability of a business in relation to the equity, If the shares are bought at a multiple of book value (a factor of x times book value), the incremental earnings returns will be reduced by "The Connection between Dividend Growth and Return on Equity".

### The Relationship Between Price over Book and ROE

Let us take an example to see how we can incorporate Trailing and Forward Price to Book Value ratio to identify the cheapest and most expensive stock from the consideration set. There can also be a case where book value does not show any trend.

In such cases, we will not see any particular trend in the Price to Book Value Ratio.

Let us start with the table that we have above. Can you guess which is the cheapest and the most expensive bank from the above table? Which is the cheapest bank? Its Historical Price to Book Value ratio is 0.

The declining book value can be due to limited growth opportunities or maybe due to forecasted losses.

Price to Book Value (Justified PBV, ROE model) 2

Which is the Most Expensive bank? Looking at the book value numbers of EEE, it seems that they are experiencing losses each year, thereby leading to decrease in book value.

However, Bank CCC is showing an increase in book value in future years, thereby making it a safer bet. Effect of technology upgrades, Intellectual Property, Inflation etc can cause the book and market values of assets to differ significantly Accounting Policies adopted by the management can have a significant impact on the Book Value.

For example, Straight line method vs Accelerated depreciation method can change the Net Property Plant and equipment value drastically. How fast ROEs revert to mean derives from the length of the businsess written. You have the first equation wrong, it should be: Second, if you did that the a and b would be different, because regression minimizes the squared differences of the dependent variable actual versus expected.

So, with respect to what I said above, I would not do the math your way. Dividing and differentiating by ROE neglects the meaning of the original equation. All models are just that, models.

So, I can answer your second question, but not your first question. Such would be true with long duration coverages like in the life industry. The reason the life industry is different is that the companies with high ROEs are expected to maintain those high ROEs for a longer period of time, because coverages are long, and pricing adjusts slowly.

With other insurance coverages, pricing adjusts annually or nearly so. For a life company with a low ROE, the adjustment will happen slowly, or it may never happen.

## The Relationship Between Price over Book and ROE

Perverse dynamics kick in when a company with long-tail coverages finds itself earning very little to nothing. Short accruals get validated every year. If you were an actuary inside the long-tailed life insurer, you would get some data telling you that your assumptions were optimistic, right, or pessimistic.

But it takes a while to figure out whether the last few years are a deviation or a trend. Good actuaries dig in, and look at the causes for claims, trying to see if the reasons for policyholders making claims matches up with the original estimate of what the subject population would be likely to die or have disability or LTC claims from.

Too many abnormal claims may imply that the business has been underwritten wrong, and needs to be adjusted. That analysis takes some doing, because long-tail life coverages are low-frequency and high-severity. David Merkel David J. It is possible that I might do a joint venture with someone else if we can do more together than separately. I did a many things for Finacorp, mainly research and analysis on a wide variety of fixed income and equity securities, and trading strategies.

UntilI was a senior investment analyst at Hovde Capital, responsible for analysis and valuation of investment opportunities for the FIP funds, particularly of companies in the insurance industry.