Capital Adequacy is a Balance Sheet Ratio Financial analysts analyze company performance with different sets of ratios; e.g., earnings per share, return on equity. As a ratio, capital adequacy is just a special solvency ratio, not greatly unlike the classic debt-to-equity ratio. But capital adequacy connotes a financial institution’s capital, so it’s really a bank-specificRead More

## Binomial Tree

Introduction The Financial Risk Manager (FRM) introduces binomial trees by applying them to value derivatives for two asset classes, equities and bonds. For stock options, the text is John Hull’s Options, Futures and Derivatives; for bonds, the text is Bruce Tuckman’s Fixed Income Securities. Both are excellent and have been assigned in the syllabus forRead More

## Spot Rates

Spot prices are a basic building block in finance, but they are tricky when the commodity is money. When the commodity is money, spot prices are called spot rates (a.k.a., spot interest rate). A spot price is simply the market’s current price to buy or sell a commodity for immediate delivery. Spot prices are soRead More

## What Is a Z Table?

Functions based on the normal distribution are easy to retrieve in code or excel, so we do not really need z tables anymore, in practice. But we still want to understand the z table. Why? Because the popular exam calculators (TI BA II+ and HP 12c) do not include z table functionality, so we doRead More

## Statistical Inference: Hypothesis Testing and Confidence Intervals

Recently 25 banks were surveyed. Their sample average total capital is 8.40% (i.e., Tier 1 plus Tier 2 as a percentage of risk-weighted assets, RWA) with a sample standard deviation of 1.0%. Our one-sided null hypothesis is that the population’s “true” average total capital is less than or equal to 8.0%.

## Economic Capital (Schroeck)

According to Schroeck, economic capital is an estimate of the overall level of capital necessary to guarantee the solvencyof the bank at some predetermined confidence level. Which stakeholder tranche represents the “critical threshold” targeting by this confidence level?

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