How does the abandonment option protect downside risk, and what determines the optimal time to exercise it?

The abandonment option acts as a put option on the project, establishing a floor on losses by allowing management to discontinue operations and recover salvage value. The optimal abandonment point occurs when the present value of remaining cash flows falls below the current salvage value.\n\nDecision Rule:\n\nAbandon when: PV(remaining cash flows) < Salvage value at time t\n\nContinue when: PV(remaining cash flows) >= Salvage value at time t\n\nWorked Example:\n\nStonebridge Mining invests $8M in a copper extraction site. The project has a 5-year life with expected cash flows dependent on copper prices. Equipment can be sold at any time for the following salvage values:\n\n| Year | Salvage Value | High Price CF | Low Price CF | Prob(High) |\n|---|---|---|---|---|\n| 0 | $8.0M (cost) | -- | -- | -- |\n| 1 | $6.5M | $3.2M | $0.8M | 0.55 |\n| 2 | $5.0M | $3.2M | $0.6M | 0.55 |\n| 3 | $3.5M | $3.2M | $0.4M | 0.55 |\n| 4 | $2.0M | $3.2M | $0.2M | 0.55 |\n| 5 | $0.5M | $3.2M | $0.1M | 0.55 |\n\nCost of capital: 12%.\n\nWithout abandonment option (static NPV):\n\nExpected annual CF = 0.55 x $3.2M + 0.45 x weighted-average-low-CF\nYear 1 expected CF = 0.55 x 3.2 + 0.45 x 0.8 = $2.12M\nContinuing this for all years: Static NPV = -$0.37M (marginal reject)\n\nWith abandonment option:\n\nIn the low-price scenario, management evaluates at each year-end whether to continue. At Year 2, if copper prices are low:\n- PV of remaining low-price CFs (Years 3-5): $0.4/1.12 + $0.2/1.12^2 + $0.1/1.12^3 = $0.357 + $0.159 + $0.071 = $0.587M\n- Salvage at Year 2: $5.0M\n\nAbandoning at Year 2 in the low scenario recovers $5.0M versus $0.587M from continuing. This truncates the downside dramatically.\n\nValue of Abandonment Option:\n\nIn the low-price path (probability 0.45), abandoning at Year 1 yields $6.5M + $0.8M = $7.3M versus continuing for an expected $2.8M in remaining value.\n\nThe option value = 0.45 x ($6.5M - PV of continuing in low state) discounted appropriately = approximately $1.85M\n\nStrategic NPV = -$0.37M + $1.85M = +$1.48M (strong accept)\n\nKey Insight: Projects with high salvage values relative to cash flow uncertainty are more attractive than static NPV suggests because the abandonment put option is deeply in-the-money across bad states.\n\nMaster real options frameworks in our CFA Corporate Issuers course.