FINM1001 Chap.8 CAPM and Project Discount Rates
CAPM and Project Discount Rates
Use beta to price market exposure
The CAPM begins with a risk-free return and adds compensation for systematic risk. The market risk premium is expected market return minus the risk-free rate. Beta scales that premium according to how strongly an asset or project co-moves with the market portfolio.
Beta is based on covariance with the market divided by market variance.
A risk-free asset has beta zero in the model, while the market portfolio has beta one. With a positive market risk premium, a beta between zero and one produces a required return between the risk-free and market returns; beta above one produces a return above the market expectation.
Standard deviation and beta must remain separate.
Standard deviation measures total standalone dispersion, including diversifiable firm-specific variation. Beta measures contribution to market-portfolio risk.
The CAPM compensates systematic exposure under its assumptions because investors can diversify away the remaining asset-specific risk.
Carry the required return into project NPV
When beta represents a project's risk, the CAPM return can become its discount rate. Compute the market premium, multiply by project beta, add the risk-free rate, and retain precision.
Then discount incremental project cash flows using the same periodic clock and apply the NPV rule.
A company beta is appropriate only when the project shares the risk class of existing operations under the course assumptions. A project in another industry may require a project-relevant beta or justified adjustment.
Using whichever beta is available without discussing fit can over- or under-discount cash flows.
The integrated direction is useful for checking work. With a positive market premium, higher beta raises required return. A higher required return lowers present value for unchanged future cash flows and therefore lowers NPV.
Keep cash-flow forecasts unchanged when testing only the beta channel; changing both without justification double counts risk.
What this chapter covers
- 01
Systematic risk
- 02
Beta
- 03
Market risk premium
- 04
Security market line
- 05
Project discount rate
Worked example · free
Use CAPM inside a project decision
- 1Calculate the market risk premium.
- 1Find the project required return with beta.
- 1Discount the annual project cash flows.
- 1Apply the NPV sign rule and qualify beta fit.
Key terms
- Market risk premium
- Expected market return above the risk-free rate, representing compensation per unit of beta under the CAPM.
- Security market line
- The CAPM relationship between beta and required return, with risk-free intercept and market-risk-premium slope.
- Project beta
- A measure intended to represent the project's systematic market exposure rather than automatically using the whole firm's existing beta.
- Risk-adjusted return
- The required return matched to the systematic risk of the cash flows and used as their project discount rate.
CAPM and Project Discount Rates FAQ
Why subtract the risk-free rate from market return?
The difference is the market risk premium. Beta scales only that compensation for risk, while the risk-free rate remains the model's intercept and applies regardless of the beta chosen.
What does beta one mean?
Under the CAPM, beta one represents market-level systematic exposure and therefore produces the expected market return when inserted into the equation, given the model assumptions.
Can I always use the company beta for a project?
No. It is suitable only when the project's systematic risk matches the firm's existing risk class under the stated assumptions; otherwise a project-relevant beta is needed.
Why does higher beta usually lower project NPV?
With a positive market premium, higher beta raises required return. Discounting unchanged future cash flows more heavily lowers their present value and the resulting NPV.
Exam move
Memorise the direction chain from beta to required return to present value, then practise complete CAPM-to-NPV questions while stating why the beta belongs to the project. Validate each interface independently. Beta zero should return the risk-free rate and beta one the expected market return under the model.
Confirm the required return uses the same period as project cash flows, then compare NPV with a nearby discount-rate case to verify direction. If a project belongs to another industry, explain how its beta was obtained or adjusted rather than treating the firm's historical beta as universal. For mutually exclusive projects, a shared discount rate is justified only when systematic risk is comparable.
The final recommendation should include both the value result and the risk-fit statement, making clear whether disagreement concerns the cash-flow forecast, project beta, market inputs or decision rule. In a timed rehearsal, reserve a final minute to label the beta source, check that the market premium was formed before multiplication, and restate the accept-or-reject rule.
Those three annotations expose most interface errors without repeating the arithmetic.
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