No. of Recommendations: 2
Vanguard ETF webpages have a "portfolio" section that lists their P/E, P/B and RoE.
Sadly, the P/E doesn't match P/B : RoE ratio.
eg
for VOO (S&P 500 ETF)
PE is listed as 24.7, but PB 4.3 / RoE 24.61% comes to 15.
for VXF, PE is 18 but PB/RoE is 25.
Am I making some elementary calculation mistake here?
Even if taken on different dates in the quarter, that is a pretty significant discrepancy.
No. of Recommendations: 1
PE is listed as 24.7, but PB 4.3 / RoE 24.61% comes to 15. Am I making some elementary calculation mistake here?
P/E = Price per share / earnings per share
P/B = Price per share / book value per share
RoE = Return on Equity
The P/E ratio has nothing to do with the P/B to RoE ratio.
No. of Recommendations: 6
Vanguard ETF webpages have a "portfolio" section that lists their P/E, P/B and RoE.
Sadly, the P/E doesn't match P/B : RoE ratio.
eg for VOO (S&P 500 ETF)
PE is listed as 24.7, but PB 4.3 / RoE 24.61% comes to 15.
for VXF, PE is 18 but PB/RoE is 25.
Am I making some elementary calculation mistake here?
Even if taken on different dates in the quarter, that is a pretty significant discrepancy.
You maths looks good to me. RoE is exactly the Net Earnings / Book Value. The ratio can be calculated either as per share values or actual values.
So PB / RoE, as you write, or lets call it PB / (Return on Equity), can be expanded as:
(Price / Book) / (Net Earnings / Book)
Which is (Price / Book) * (Book / Net Earnings)
Which simplifies to (Price / Net Earnings) which is exactly the PE.
So PE = PB / (Return on Equity) as you observe.
As to why Vanguard report a discrepancy between the PE, PB and RoE, I do not know. However VOO tracks the S&P500 and from my sources, I have the following data:
S&P500
PE = 28 (price today, earnings trailing 12 months)
Price/Book = 4.9 (price today)
Both of these figures are a little different to what Vanguard is reporting for VOO which as I understand is exactly tracks the S&P500.
In any case, with my figures the RoE for the S&P500 can be calculated as Return on Equity = PB / PE = 4.9 / 28 = 0.175 = 17.5%.
It is not inuitive to think of Return on Equity as the PB / PE, however you reconcile it mentally with several sanity checks, such as:
1. If you double the earnings, the PE will become half.
2. If you double the earnings, Return on Equity (as it is PB / PE) will thus double. Checks out.
3. If you keep the earnings the same, but double the price, both PB and PE exactly double, and because Return on Equity = PB / PE, both numerator and denominator double and cancel out, so doubling the the price has no effect on Return on Equity. Checks out.
- Manlobbi
No. of Recommendations: 0
So PE = PB / (Return on Equity) as you observe.It doesn't seem to work that way in practice. Here are the P/E, P/B and RoE figures for Apple (AAPL), for example, as taken from Yahoo Finance.
https://finance.yahoo.com/quote/AAPL/key-statistic...Apple (AAPL)P/E = 33.0
P/B = 43.9
RoE = 147.25%
Note that the units for P/E and RoE are completely different. The RoE is reported as a percentage, whereas the P/E is not.
If you convert the 147% RoE to the decimal number 1.47, and divide the 43.9 PB by 1.47 you get 29.9, which is not the same as 33.
I did the same exercise for META, and got PB/RoE = 25 whereas the actual PE is 29.
So, for 2 of the biggest companies in the US, the PB/RoE ratio is about 10% lower than the P/E ratio (at least, as reported by Yahoo Finance).
