FIN 460 Week 5 Intrinsic Value and Stock Valuation Example

What Is a Trailhead Share Worth? A Discounted Cash Flow Value, a Sensitivity Grid and Peer Multiples Set Against the $34 Market Price, and a Recommendation the Evidence Supports

[Student Name]

University of Phoenix

FIN/460: Fundamental Analysis

Week 5 Assignment

[Instructor Name]

[Date]

Trailhead Outfitters, its forecast and all figures are composites written for a model paper; valuation methods and research findings come from the sources listed.

Trailhead Outfitters, the composite outdoor gear retailer, trades at $34 a share, a market value of about $1.7 billion for 50 million shares. Week 4 produced a base-case forecast of unlevered free cash flow rising from about $101 million in year one to about $147 million in year five. The forecast describes what the business might produce; valuation asks what that stream is worth today and whether the price already reflects it. This paper answers both questions.

The Cost of Capital

Equity investors require a return reflecting the stock's market risk. Trailhead's beta of 1.3, applied to a 5.5-point premium over the 4.3 percent Treasury yield, sets the return its shareholders should demand near 11.5 percent (Damodaran, 2012). Trailhead's $250 million of debt carries about 7 percent, or 5.25 percent after tax. Weighting equity at about 87 percent and debt at 13 percent of market value puts the blended rate near 10.7 percent. Store leases are treated as operating costs, with rent inside the forecast expenses, so lease liabilities are left out of both the cash flows and the capital structure for consistency.

Discounting the Forecast

Discounting the five years of free cash flow at 10.7 percent gives a present value of about $480 million. Year five's free cash flow of about $147 million, grown 2.5 percent, divided by the 8.2-point spread between the discount rate and growth, gives a terminal value of about $1.84 billion at the end of year five, worth about $1.11 billion today. Enterprise value is about $1.59 billion. Adding $120 million of cash and subtracting $250 million of debt gives equity value of about $1.46 billion, or about $29 a share.

Sensitivity

Because the terminal value dominates, the result is sensitive to two inputs. At a 9.5 percent discount rate, value ranges from about $32.60 with 2 percent terminal growth to $36.80 with 3 percent. At 10.7 percent, it ranges from about $28.00 to $31.00. At 11 percent, from about $26.60 to $29.30. The market price of $34 sits at the upper end of the grid, consistent with a discount rate near 9.5 to 10 percent or with more optimistic cash flows than the base case.

Relative Valuation

Peers trade at a median of about 15.5 times earnings and 8 times enterprise value to EBITDA. Trailhead's earnings per share of $2.25 at 15 times gives about $33.75. Its EBITDA of $240 million at 8 times gives enterprise value of $1.92 billion and, after net debt, about $35.80 a share. Both multiples support values close to the market price.

Why the Methods Differ

Multiples price Trailhead as an average peer, while the discounted cash flow model reflects a forecast in which its margins recover only partly and stay below peers'. The market price, close to the multiples, implies that investors expect Trailhead to close more of its gap with peers than the base case assumes, or that they accept a lower discount rate. Koller et al. (2020) note that differences between methods are useful because they reveal the assumptions embedded in a price.

What the Price Implies

Solving for the cash flows that would justify $34 at a 10.7 percent discount rate and 2.5 percent growth suggests free cash flow about 15 percent higher than the base case throughout, roughly what the strong case delivers if the allocation system brings inventory days to 110 and gross margin back to 41.8 percent. The price is therefore a bet on the inventory fix.

How Sure Can the Value Be?

Any intrinsic value is an estimate built on estimates. The beta could be a few tenths higher or lower, the equity premium is debated and the forecast margins could miss by a point. Those uncertainties together could move the value by $5 or more a share in either direction, which is why the analysis reports a range and why a gap of a few dollars between value and price is not, by itself, a reason to trade.

Signals From the Statements

Piotroski (2000) showed that simple accounting signals, such as improving margins, rising asset turnover and positive cash flow exceeding earnings, helped separate stronger from weaker value stocks. Trailhead currently scores poorly on margins, turnover and accruals, but well on cash flow and liquidity. An improvement in turnover would be the clearest sign that the strong case is arriving.

Recommendation

The evidence supports a hold. The discounted cash flow value of about $29 under base assumptions sits below the $34 price, while multiples support the price and the strong case justifies it. A buy would require evidence that inventory days are falling toward 120 and gross margin is recovering, which would show up in the next two quarterly reports. A sell would follow if comparable sales turn negative or inventory rises again relative to sales.

Checking the Value Another Way

A residual income check offers a second intrinsic estimate. Book equity of $580 million earns about 19 percent, above the 11.5 percent cost of equity, but part of that return comes from lease financing rather than operations. Using the forecast earnings and assuming the excess return fades to zero over ten years, the residual income model gives a value in the low thirties, between the discounted cash flow result and the multiples. The check is not decisive; still, it suggests the base-case discounted cash flow value is on the conservative side of reasonable estimates, which supports holding rather than selling.

Risks

The main risks are a consumer slowdown, continued promotional pressure, the allocation system failing to deliver and fixed lease obligations that would magnify a sales decline. On the upside, a faster inventory fix or a rival's store closures could lift margins sooner than the base case assumes. Either way, the next two quarterly reports will carry the evidence, because inventory days and gross margin are disclosed each quarter and can be compared directly with this analysis.

Conclusion

A discounted cash flow valuation puts Trailhead's shares near $29 under base assumptions, with a range from about $27 to $37, while peer multiples point to about $34 to $36. The market price assumes the inventory fix succeeds. Holding the shares and watching inventory turnover and gross margin lets the investor act on evidence rather than hope.

References

Damodaran, A. (2012). Investment valuation: Tools and techniques for determining the value of any asset (3rd ed.). John Wiley & Sons.

Koller, T., Goedhart, M., & Wessels, D. (2020). Valuation: Measuring and managing the value of companies (7th ed.). John Wiley & Sons.

Piotroski, J. D. (2000). Value investing: The use of historical financial statement information to separate winners from losers. Journal of Accounting Research, 38, 1-41. https://doi.org/10.2307/2672906