How do you calculate the after-tax return requirement for an individual IPS, including inflation and spending needs?
I'm working on a CFA Level III morning-session-style IPS question. The individual has a portfolio of $3 million, annual spending of $140,000, a tax rate of 28%, and expected inflation of 2.5%. I'm confused about the order of operations. Do you gross up for taxes first, then add inflation, or the other way around?
Calculating the after-tax real return requirement for an individual Investment Policy Statement (IPS) requires a specific sequence: determine the spending need, account for taxes, and then layer on inflation.\n\nStep-by-Step Framework:\n\n`mermaid\ngraph TD\n A[\"Determine Annual Spending Need\"] --> B[\"Subtract Any Non-Portfolio Income\"]\n B --> C[\"Net Spending from Portfolio\"]\n C --> D[\"Compute Nominal Pre-Tax Return\"]\n D --> E[\"Gross Up for Taxes\"]\n E --> F[\"Add Inflation\"]\n F --> G[\"Required Pre-Tax Nominal Return\"]\n`\n\nWorked Example:\n\nClient: Rosalind Jeffers, age 58, recently retired.\n\n| Item | Value |\n|---|---|\n| Investment portfolio | $3,000,000 |\n| Annual living expenses | $140,000 |\n| Social Security income | $28,000 |\n| Tax rate (all income) | 28% |\n| Expected inflation | 2.5% |\n\nStep 1: Net spending from portfolio\n$140,000 - $28,000 = $112,000\n\nStep 2: After-tax nominal return needed\n$112,000 / $3,000,000 = 3.73%\n\nStep 3: Gross up for taxes\n3.73% / (1 - 0.28) = 3.73% / 0.72 = 5.18%\n\nStep 4: Add inflation (multiplicative approach)\n(1 + 0.0518) x (1 + 0.025) - 1 = 1.0518 x 1.025 - 1 = 7.81%\n\nAlternatively, using the additive approximation:\n5.18% + 2.50% = 7.68% (close but less precise)\n\nRosalind's pre-tax nominal return requirement is approximately 7.8%.\n\nCommon Mistakes on the Exam:\n\n1. Forgetting to subtract non-portfolio income (Social Security, pension, rental income) before computing the portfolio return requirement\n2. Applying the tax gross-up to the entire return including inflation rather than just the spending component\n3. Using the additive method when the exam specifically asks for the multiplicative (compounded) approach\n4. Ignoring one-time cash flows like a home purchase in year one, which should be deducted from the portfolio before computing the ongoing return requirement\n5. Double-counting inflation if spending is already stated in real terms\n\nIPS Context:\nThis return requirement feeds into the overall IPS along with risk tolerance, time horizon, liquidity needs, legal/regulatory constraints, unique circumstances, and tax considerations. The return objective must be achievable given the risk constraints; if 7.8% requires excessive equity exposure for a conservative retiree, the advisor must discuss trade-offs.\n\nPractice more IPS calculations with our CFA Level III question bank.
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