Estimate Microsoft's (MSFT) share price using a price earnings (PE) multiples approach with the following assumptions and figures only:

- Apple, Google and Microsoft are comparable companies,
- Apple's (AAPL) share price is $526.24 and historical EPS is $40.32.
- Google's (GOOG) share price is $1,215.65 and historical EPS is $36.23.
- Micrsoft's (MSFT) historical earnings per share (EPS) is $2.71.

Source: Google Finance 28 Feb 2014.

Which of the following investable assets are **NOT** suitable for valuation using PE multiples techniques?

Estimate the US bank JP Morgan's share price using a price earnings (PE) multiples approach with the following assumptions and figures only:

- The major US banks JP Morgan Chase (JPM), Citi Group (C) and Wells Fargo (WFC) are comparable companies;
- JP Morgan Chase's historical earnings per share (EPS) is $
**4.37**; - Citi Group's share price is $
**50.05**and historical EPS is $**4.26**; - Wells Fargo's share price is $
**48.98**and historical EPS is $**3.89**.

Note: Figures sourced from Google Finance on 24 March 2014.

Which firms tend to have **low** forward-looking price-earnings (PE) ratios?

Only consider firms with positive earnings, disregard firms with negative earnings and therefore negative PE ratios.

Which of the following investable assets are **NOT** suitable for valuation using PE multiples techniques?

Estimate the Chinese bank ICBC's share price using a backward-looking price earnings (PE) multiples approach with the following assumptions and figures only. Note that the renminbi (RMB) is the Chinese currency, also known as the yuan (CNY).

- The 4 major Chinese banks ICBC, China Construction Bank (CCB), Bank of China (BOC) and Agricultural Bank of China (ABC) are comparable companies;
- ICBC 's historical earnings per share (EPS) is RMB
**0.74**; - CCB's backward-looking PE ratio is
**4.59**; - BOC 's backward-looking PE ratio is
**4.78**; - ABC's backward-looking PE ratio is also
**4.78**;

Note: Figures sourced from Google Finance on 25 March 2014. Share prices are from the Shanghai stock exchange.

Which firms tend to have **high** forward-looking price-earnings (PE) ratios?

Which firms tend to have **low** forward-looking price-earnings (PE) ratios? Only consider firms with positive PE ratios.

Private equity firms are known to buy medium sized private companies operating in the same industry, merge them together into a larger company, and then sell it off in a public float (initial public offering, IPO).

If medium-sized private companies trade at PE ratios of **5** and larger listed companies trade at PE ratios of **15**, what return can be achieved from this strategy?

Assume that:

- The medium-sized companies can be bought, merged and sold in an IPO instantaneously.
- There are no costs of finding, valuing, merging and restructuring the medium sized companies. Also, there is no competition to buy the medium-sized companies from other private equity firms.
- The large merged firm's earnings are the sum of the medium firms' earnings.
- The only reason for the difference in medium and large firm's PE ratios is due to the illiquidity of the medium firms' shares.
- Return is defined as: ##r_{0→1} = (p_1-p_0+c_1)/p_0## , where time zero is just before the merger and time one is just after.

Estimate the French bank Societe Generale's share price using a backward-looking price earnings (PE) multiples approach with the following assumptions and figures only. Note that EUR is the euro, the European monetary union's currency.

- The 4 major European banks Credit Agricole (ACA), Deutsche Bank AG (DBK), UniCredit (UCG) and Banco Santander (SAN) are comparable companies to Societe Generale (GLE);
- Societe Generale's (GLE's) historical earnings per share (EPS) is EUR 2.92;
- ACA's backward-looking PE ratio is 16.29 and historical EPS is EUR 0.84;
- DBK's backward-looking PE ratio is 25.01 and historical EPS is EUR 1.26;
- SAN's backward-looking PE ratio is 14.71 and historical EPS is EUR 0.47;
- UCG's backward-looking PE ratio is 15.78 and historical EPS is EUR 0.40;

Note: Figures sourced from Google Finance on 27 March 2015.

**Question 547** PE ratio, Multiples valuation, DDM, income and capital returns, no explanation

A firm pays out all of its earnings as dividends. Because of this, the firm has no real growth in earnings, dividends or stock price since there is no re-investment back into the firm to buy new assets and make higher earnings. The dividend discount model is suitable to value this company.

The firm's revenues and costs are expected to increase by inflation in the foreseeable future. The firm has no debt. It operates in the services industry and has few physical assets so there is negligible depreciation expense and negligible net working capital required.

Which of the following statements about this firm's PE ratio is **NOT** correct? The PE ratio should:

Note: The inverse of x is 1/x.

**Question 749** Multiples valuation, PE ratio, price to revenue ratio, price to book ratio, NPV

A real estate agent says that the price of a house in Sydney Australia is approximately equal to the gross weekly rent times 1000.

What type of valuation method is the real estate agent using?

Itau Unibanco is a major listed bank in Brazil with a market capitalisation of equity equal to BRL **85.744** billion, EPS of **BRL 3.96** and **2.97** billion shares on issue.

Banco Bradesco is another major bank with total earnings of BRL **8.77** billion and **2.52** billion shares on issue.

Estimate Banco Bradesco's current share price using a price-earnings multiples approach assuming that Itau Unibanco is a comparable firm.

Note that BRL is the Brazilian Real, their currency. Figures sourced from Google Finance on the market close of the BVMF on 24 July 2015.

**Question 989** PE ratio, Multiples valuation, leverage, accounting ratio

A firm has 20 million stocks, earnings (or net income) of $100 million per annum and a 60% debt-to-**equity** ratio where both the debt and asset values are market values rather than book values. Similar firms have a PE ratio of 12.

Which of the below statements is **NOT** correct based on a PE multiples valuation?

**Question 990** Multiples valuation, EV to EBITDA ratio, enterprise value

A firm has:

**2** million shares;

$**200** million EBITDA expected over the next year;

$**100** million in cash (not included in EV);

**1/3** market debt-to-assets ratio is (market assets = EV + cash);

**4**% pa expected dividend yield over the next year, paid annually with the next dividend expected in one year;

**2**% pa expected dividend growth rate;

**40**% expected payout ratio over the next year;

**10** times EV/EBITDA ratio.

**30**% corporate tax rate.

The stock can be valued using the EV/EBITDA multiple, dividend discount model, Gordon growth model or PE multiple. Which of the below statements is **NOT** correct based on an EV/EBITDA multiple valuation?

Read these quotes from Adir Shiffman's 26 July 2021 article in the AFR 'Roll up, roll up and make a mint off Amazon sellers'.

"Amazon sellers outsource their warehousing and logistics to the tech giant in a model known as “fulfilled by Amazon”, or FBA. Joining FBA provides access to one of the world’s largest global warehousing operations and even a fleet of Boeing 747 cargo jets. Just as significantly, FBA sellers can much more easily qualify for Amazon’s Prime program, which guarantees free and fast shipping to members."

"Companies want to acquire and integrate a selection, or in business parlance, do a 'roll-up'."

"More than 100 companies are now racing to roll-up FBA sellers, and almost all have launched since 2017. At least a dozen of these boast war chests of more than $US100 million. The largest, Thrasio, was founded in 2018 and has raised more than $US1.7 billion. Thrasio targets businesses with high quality and differentiated products that generate $US1 to $US100 million in revenue annually" (Shiffman, 2021).

If Thrasio's total funds available to spend on the roll up is $1.7 billion, and it's buying targets at price-to-revenue multiples of 2, what's the largest number of firms with $50 million of annual revenue that it could buy?

Investment bank Canaccord's Think Childcare (TNK) initiation of coverage states: "What's the Differentiator? TNK are operators, not consolidators - Other listed childcare companies have led highly successful consolidation strategies involving multiple arbitrage combined with scale benefits and operating efficiencies. TNK’s focus is on operating the centres to the best of their individual potentials..." (Canaccord, 2016). Multiples arbitrage involves:

Here's an excerpt from an interview between Magellan fund co-founder Hamish Douglass and AFR reporter Vesna Poljak, which appeared in the Australian Financial Review article ‘It's all about interest rates: Hamish Douglass’, 19 July 2019:

Take a business growing at 4 per cent a year, with a cost of equity of 10 per cent based off a 5 per cent risk-free rate and a 5 per cent market risk premium: you would value that at around 16.6 times free cashflow.

Now take a business growing at the same rate, with a 4 per cent risk free rate. At a 9 per cent cost of equity that would command a 20 times multiple, he says.

At a 3 per cent risk-free rate, the cost of equity is 8 per cent, and the multiple is 25.

Finally at 2 per cent – 'which is where the world is at the moment' – the same business would be worth around 33 times free cashflow.

In August 2021, the RBA overnight cash rate and 3 year Australian government treasury bond yield were both **0.1**% pa. If this low risk-free yield was expected to persist forever, what approximate equity price-to-cashflow multiple would that imply for a business expected to grow at 4% pa in pereptuity with a 5% equity risk premium?