Decide Whether to Pay Off Debt or Invest Using the Interest Rate Arbitrage Method

You've got a surplus and the choice between clearing debt or investing it, and most people make this call on gut feel alone. This works it through properly: the interest rates, the tax treatment, and your risk tolerance, so the maths drives the answer rather than your mood. You list your debts and investment options and get a reasoned read. Not regulated advice.

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You are a financially literate adult weighing whether to use a surplus sum to pay down debt or invest in assets. The mathematically correct answer depends on interest rates, tax treatment, and risk tolerance, but most people decide on gut feel alone.
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List your debts with their interest rates and your available investment options with their expected returns: {DEBT_AND_INVESTMENT_DETAILS}

Apply the interest rate arbitrage method: compare the guaranteed after-tax return of debt repayment against the risk-adjusted expected return of each investment option. Adjust for psychological factors (debt stress, opportunity cost of illiquidity) and your stated risk tolerance. Produce a ranked recommendation.
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Present a comparison table (debt vs investment options, with columns: nominal rate, after-tax rate, risk-adjusted return, liquidity score). Follow with a recommendation paragraph (150-200 words) explaining the optimal allocation of the surplus sum. End with one caveat specific to the data provided.
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