σμimplied vol · KKmax(S−K,0)udβρᵢⱼfat tailsPnL · drawdownyield · TdSₜ = μSₜ dt + σSₜ dWₜC = S·N(d₁) − K·e⁻ʳᵀ·N(d₂)σₚ² = wᵀΣwd₁ = [ln(S/K) + (r + σ²⁄2)T] ⁄ σ√T∂V/∂t + ½σ²S²·∂²V/∂S² + rS·∂V/∂S − rV = 0Sharpe = (Rₚ − R_f) ⁄ σₚVaR₉₉ = μ − 2.33σρ = Cov(X,Y) ⁄ σₓσᵧE[Rₚ] = Σ wᵢ·E[Rᵢ]φ(x) = e^(−x²/2) ⁄ √2πE[Rᵢ] = R_f + βᵢ(E[Rₘ] − R_f)dXₜ = θ(μ − Xₜ)dt + σ dWₜσ²ₜ = ω + α·ε²ₜ₋₁ + β·σ²ₜ₋₁C − P = S − K·e⁻ʳᵀΔ = ∂V/∂S Γ = ∂²V/∂S²p = (e^(rΔt) − d) ⁄ (u − d)rₜ = ln(Pₜ ⁄ Pₜ₋₁)E[Xₜ₊₁ | ℱₜ] = Xₜf* = (bp − q) ⁄ bz = (x − μ) ⁄ σP(N=k) = λᵏe^(−λ) ⁄ k!Θ = −∂V/∂Tν = S·φ(d₁)·√Tmin wᵀΣw s.t. wᵀμ = μ*∫Σ∂∞λ
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σμimplied vol · KKmax(S−K,0)udβρᵢⱼfat tailsPnL · drawdownyield · TdSₜ = μSₜ dt + σSₜ dWₜC = S·N(d₁) − K·e⁻ʳᵀ·N(d₂)σₚ² = wᵀΣwd₁ = [ln(S/K) + (r + σ²⁄2)T] ⁄ σ√T∂V/∂t + ½σ²S²·∂²V/∂S² + rS·∂V/∂S − rV = 0Sharpe = (Rₚ − R_f) ⁄ σₚVaR₉₉ = μ − 2.33σρ = Cov(X,Y) ⁄ σₓσᵧE[Rₚ] = Σ wᵢ·E[Rᵢ]φ(x) = e^(−x²/2) ⁄ √2πE[Rᵢ] = R_f + βᵢ(E[Rₘ] − R_f)dXₜ = θ(μ − Xₜ)dt + σ dWₜσ²ₜ = ω + α·ε²ₜ₋₁ + β·σ²ₜ₋₁C − P = S − K·e⁻ʳᵀΔ = ∂V/∂S Γ = ∂²V/∂S²p = (e^(rΔt) − d) ⁄ (u − d)rₜ = ln(Pₜ ⁄ Pₜ₋₁)E[Xₜ₊₁ | ℱₜ] = Xₜf* = (bp − q) ⁄ bz = (x − μ) ⁄ σP(N=k) = λᵏe^(−λ) ⁄ k!Θ = −∂V/∂Tν = S·φ(d₁)·√Tmin wᵀΣw s.t. wᵀμ = μ*∫Σ∂∞λ
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Market Structure skill›Module 1 · Instruments and venues›Topic 1.1·~40 minBeginner

Asset classes and instruments

Skill positionModule 1 of 4 · Topic 1 of 2
1.1 Asset classes and instruments
—Lab score— / 100Total XP—Streak—

What gets traded

Markets exist to move risk and capital between people. What is traded falls into a few asset classes: equities (ownership of companies), fixed income (loans to governments and companies), currencies (foreign exchange, FX), commodities (oil, gold, wheat) and, more recently, digital assets.

Inside each class there are instruments: the actual contracts you can buy or sell. A share of Apple, a 10-year US Treasury note, a EUR/USD forward and a crude-oil futures contract are all instruments. A cash instrument is worth what it is (a share). A derivative is worth something because of another asset, its underlying (an option on that share).

  • Cash instrument: you own the thing itself, for example a share or a bond.
  • Derivative: a contract whose value depends on an underlying asset (futures, options, swaps).
  • ETF: a fund whose shares trade on an exchange like a stock.
  • Futures contract: a standardised agreement to buy or sell an asset at a set price on a future date.
  • Option: the right, not the obligation, to buy (call) or sell (put) at a set price.
  • Swap: an agreement to exchange cash flows, usually traded over the counter.

Listed versus over the counter

Standardised instruments (stocks, ETFs, listed options, futures) trade on exchanges: prices are public and a clearing house stands behind every trade. Customised instruments (most swaps, many bonds, FX forwards) trade over the counter (OTC): two parties agree the terms directly, usually through a dealer, and prices are less visible.

How big is one futures contract?The E-mini S&P 500 future has a multiplier of 50 USD per index point. With the index at 5,000, one contract controls 50 × 5,000 = 250,000 USD of stock exposure (its notional value), although the margin deposited is only a small fraction of that.
Cash versus derivative is not safe versus riskyA derivative is not automatically more dangerous than a share. Risk depends on size, leverage and the purpose of the position: a hedger uses futures to reduce risk, a speculator uses the same contract to add it.

Lab · what's graded

  • Instruments and asset classes20 pts
  • Which is a derivative?10 pts
  • Listed instruments15 pts
  • Notional of a futures position20 pts
  • What is an ETF?15 pts
  • Listed versus OTC20 pts
0/ 6 answered
Tasks
1Match20 ptsNot answered

Match each instrument to its asset class.

Pick the partner of each item on the left.

Apple common stock
US 10-year Treasury note
EUR/USD forward
Gold futures
2Choice10 ptsNot answered

Pick the one instrument that is a derivative.

3Choice15 ptsNot answered

Select every instrument that is normally traded on an exchange.

4Numeric answer20 ptsNot answered

One E-mini S&P 500 contract has a multiplier of 50 USD per index point. The index is at 5,200. What is the notional value of one contract?

Notional=\text{Notional} =Notional=accepted: ± 1
5Choice15 ptsNot answered

Which description fits an ETF best?

6Explain in words20 ptsNot answered

In two or three sentences, explain how exchange-traded and over-the-counter instruments differ: the terms, how visible prices are, and who stands behind the trade.

Math modeKeyboard or LaTeX inputTask 1 of 6 · Ctrl ⏎ to check

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