Explain and propose retirement wealth planning that takes account of legal, tax and cross-border issues
The idea
Retirement accounts differ in when tax is paid. With a deductible, tax-deferred account, contributions are made pre-tax and withdrawals are taxed: FV = (1 + r)ⁿ × (1 − tₙ). With a tax-exempt account, contributions are taxed and withdrawals are free: FV = (1 − t₀) × (1 + r)ⁿ. They are equal when today's rate equals the rate at withdrawal; for 100 at 6% over 20 years, a 30% rate now and 20% later gives 256.57 deferred versus 224.50 exempt. Legal planning covers beneficiary designations, powers of attorney and incapacity. Jurisdiction matters when a retiree moves: tax residence governs how withdrawals are taxed. The trap is choosing an account type without estimating the future tax rate.
Formulas
Tax-deferred retirement account
FV = (1 + r)ⁿ × (1 − tₙ)
- r
- the pre-tax return
- n
- the years until withdrawal
- tₙ
- the tax rate when the money is withdrawn
Contributions go in before tax and withdrawals are taxed. It beats a tax-exempt account when the rate at withdrawal will be lower than today's: 100 at 6% for 20 years with 20% at withdrawal gives 256.57.
Tax-exempt retirement account
FV = (1 − t₀) × (1 + r)ⁿ
- t₀
- the tax rate today, on the money contributed
- r
- the pre-tax return
- n
- the years until withdrawal
Contributions are taxed now and withdrawals are free. The two accounts are equal when t₀ equals the rate at withdrawal: 100 at 6% for 20 years taxed at 30% now gives 224.50.
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