CFA Level III · Private Wealth Pathway
Transferring the Wealth: formula sheet
Key formulas
- Probate estate
- Probate estate = assets passing under the will or intestacy (usually sole-name assets)
- Excludes assets with beneficiary designations, survivorship title or trust ownership.
- Non-probate transfer test
- Asset passes by contract or title (beneficiary named, joint with survivorship, held in trust) → non-probate
- Contract or title overrides the will. A will cannot redirect these assets.
- Estate value (planning view)
- Net estate = Total assets owned or controlled − Debts and final expenses
- Taxable estate may differ by jurisdiction. Use the exemptions and rules given in the question.
- Estate subject to the will (community property)
- Deceased's estate = ½ × community assets + deceased's separate assets
- Applies in a simple community regime. Survivor keeps their own half; details vary by jurisdiction.
- Disposable portion under forced heirship
- Disposable portion = Net estate − Reserved portion
- Reserved portion = legally fixed fraction of the deceased's estate set aside for protected heirs.
- Reserved portion
- Reserved portion = Net estate × legal reserved fraction
- The fraction is set by the jurisdiction and often depends on the number of heirs. Use the fraction given in the question.
- Common law vs civil law rule
- Common law: testamentary freedom. Civil law: often forced heirship.
- A tendency, not an absolute rule. Exceptions exist in both.
- Separate property rule
- Titled owner controls and bequeaths the asset
- Surviving spouse may still have a statutory claim in many systems.
- Taxable estate
- Taxable estate = Gross estate − deductions − exemption
- Deductions may include debts, expenses, transfers to a spouse or charity, depending on the regime given.
- Estate tax payable
- Tax payable = (Taxable estate × rate) − credits
- Credits include gift tax already paid and foreign tax credits, usually capped by the domestic tax on that asset.
- Cumulative base with lifetime gifts
- Cumulative base = Taxable estate + lifetime taxable gifts
- Used where gifts are added back. Tax on the cumulative base is reduced by gift tax already paid.
- Taxable gift
- Taxable gift = Gift value − annual exclusion − other exemption
- Annual exclusions apply per donor and per recipient where the regime says so.
- Estate versus inheritance tax
- Estate tax: on the estate, paid by the estate. Inheritance tax: on each heir's share, paid by the heir
- Check who is the taxpayer and what sets the rate.
- Wealth tax
- Wealth tax = (Net assets − threshold) × rate, each period
- Levied on holding, not on transfer.
- Gift cost, tax-exclusive
- Total cost to donor = G × (1 + tg) so G = W ÷ (1 + tg)
- G is the gift received, tg the gift tax rate, W the wealth the donor spends. Tax is paid on top of the gift.
- Gift received, tax-inclusive
- G = W × (1 − tg)
- The tax is taken from the amount the donor sends. Heir receives less than W.
- Future value of a gift
- FV gift = G × [1 + r × (1 − tr)]^n
- r is pre-tax return, tr is the tax rate on the recipient's return, n is years. Use the recipient's tax rate on growth.
- Future value of a bequest
- FV bequest = W × [1 + r × (1 − td)]^n × (1 − te)
- td is the donor's tax rate on return while the asset is held. te is the estate tax rate, applied at the end.
- Decision rule
- Gift is better if FV gift > FV bequest
- Compare using the same starting wealth W. Do not compare a gift G with a bequest W directly.
- Estate freeze tax saving
- Tax saved = te × (Future value − Value at freeze)
- Only the growth after the freeze escapes estate tax. The frozen value is still taxed. Assumes growth shares pass to heirs with no gift tax on their value.
- Trust roles
- Settlor → transfers assets → Trustee (legal title, fiduciary) → Beneficiaries (benefit)
- Name all three parties when asked to describe a trust.
- Revocable vs irrevocable
- Revocable = control kept, no estate or creditor protection. Irrevocable = control given up, possible estate and creditor protection.
- Control and protection move in opposite directions. Tax detail varies by jurisdiction.
- Discretionary vs fixed trust
- Discretionary: trustee decides distributions. Fixed: terms set each share.
- Discretionary suits spendthrift, young or at-risk beneficiaries.
- Insurance liquidity need
- Liquidity need = estate taxes + debts + expenses + cash bequests − liquid assets available
- Use to size life insurance. Ignore illiquid assets you do not wish to sell.
- Foundation vs trust
- Foundation = separate legal entity with no owners. Trust = relationship, trustee holds title.
- Foundations are mainly civil-law; trusts mainly common-law.
- Credit method, home tax payable
- Net home tax = Home tax on the asset − Foreign tax credit
- Credit is usually limited to the lower of foreign tax paid and home tax on that asset. It cannot go below zero in the usual case.
- Total tax under credit method
- Total tax = Foreign tax + (Home tax − allowed credit)
- If foreign tax is higher than home tax, total equals the foreign tax. If lower, total equals the home tax.
- Exemption method
- Home taxable base = Worldwide assets − Foreign-situs exempt assets
- Home country does not tax the exempt assets. Total tax is home tax on the remaining base plus foreign tax on the exempt assets.
- Tax liability by connection
- Domiciled or resident: worldwide assets. Non-resident: only assets with local situs
- This is the usual pattern. Always confirm the country's stated rule in the question.
- After-tax estate
- Net estate = Gross estate − Total transfer taxes (all countries)
- Use this to compare structures and to show the heirs' net outcome.
- Liquidity shortfall at death
- Shortfall = (Estate taxes + Debts + Administration costs + Bequests of cash + Equalizing payments) − Liquid assets available
- A positive result means the estate must sell assets, borrow or use insurance. Include only liquid assets that are actually available.
- Equalizing amount for non-active heirs
- Equalizing amount per non-active heir = (Total estate value ÷ Number of heirs) − Value of assets that heir already receives, if equal shares are intended
- Use total estate value, not the business value alone. Applies only when the stated goal is equal value to each heir. The amount must be funded from somewhere: other estate assets, a payment from the active heir, or new outside money such as insurance.
- After-tax cost of a gift
- Net cost of giving = Amount given − Tax saved by the gift
- Tax saved depends on the jurisdiction's deduction and any avoided capital gains tax. Use the rates given in the question.
- Value of a growth freeze
- Transfer tax saved = Future growth moved out of the estate × Transfer tax rate
- Only growth after the freeze is removed from the owner's estate. Value at the freeze date stays with the owner.
Quick revision
- Start every case with the client's objectives and constraints, then choose the tool.
- Common law systems usually allow wide freedom to choose heirs; civil law systems often impose forced heirship for certain relatives.
- Marital property regimes decide what each spouse owns and what can pass in a will.
- Estate tax is levied on the estate of the deceased; inheritance tax is levied on what each recipient receives.
- Gift tax applies to lifetime transfers; wealth taxes apply to holdings regularly, not only at transfer.
- Gifting early can move future growth out of the estate, so compare after-tax values of gift and bequest.
- Freeze strategies fix the value of an asset in the estate so growth passes to heirs.
- Trusts separate legal ownership from benefit; check whether they are revocable or irrevocable.
- Cross-border plans must consider residence, asset location and possible double taxation or credits.
- Plan for liquidity at death so heirs are not forced to sell assets badly.
- Business succession needs a clear successor, valuation and funding plan.
- Show every calculation step and give only the number of responses requested.
Common mistakes
- Treating the whole estate as the probate estate. Fix: Probate covers only assets passing under the will or intestacy. Subtract non-probate assets.
- Assuming the will controls assets with a named beneficiary. Fix: A beneficiary designation or survivorship title takes effect by contract or title, so the will does not change it.
- Applying forced heirship to the whole estate including the surviving spouse's community half. Fix: Settle marital property first. Forced heirship applies only to the deceased's share.
- Saying civil law always has forced heirship and common law never does. Fix: Say 'often' for civil law and 'generally wide freedom' for common law. Check the facts in the vignette.
- Mixing up estate tax and inheritance tax. Fix: Ask who pays. Estate tax is on the whole estate and paid by the estate. Inheritance tax is on each heir's receipt.
- Treating a credit as a deduction from the base. Fix: Deductions reduce the base before the rate. Credits reduce tax after the rate.
- Comparing a gift G with a bequest W instead of using the same starting wealth. Fix: Start from the wealth W the donor spends. Convert W to the gift received first, then compare.
- Mixing up tax-inclusive and tax-exclusive gift tax. Fix: Exclusive: tax is on top, gift = W ÷ (1 + tg). Inclusive: tax comes out of the total, gift = W × (1 − tg). Estate tax is inclusive in effect.
- Saying a revocable trust reduces estate tax. Fix: The settlor keeps control, so assets generally stay in the estate. Its benefits are probate, privacy and incapacity planning.
- Treating irrevocable as costless. Fix: Always state the loss of control and flexibility, and that gifts may carry gift tax.
Exam tips
- When asked what passes under the will, answer from how title is held, not from who the family is.
- Use command words exactly. 'Identify' needs a short list. 'Justify' needs a reason linked to the client's goal.
- Show the sum in a calculation of probate value. A correct number alone earns credit, but working protects you if you slip.
- Always mention the jurisdiction check when a plan involves limits on who can inherit.
- Give only the number of reasons asked, in the order requested.
- Do ownership first, distribution second. Many wrong answers come from reversing the order.
- Use the reserved fraction given in the vignette. Do not rely on memory of any country's actual rules.
- For recommendation questions, name the client objective, the legal constraint and the action in that order.