5.1.4Futures

Learn mark-to-market settlement

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What Is Mark-to-Market Settlement?

This happens every trading day until the contract expires or is closed.


Why MTM Exists: The Problem It Solves

Without MTM: Imagine you go long1 Nifty futures contract at ₹18,000. The market crashes to ₹15,000 over two weeks. You owe ₹150,000 in losses [(18,000 - 15,000) × 50lot size]. On expiry, you might not have that money—you default, and the exchange (or the counterparty) eats the loss.

With MTM: Every day the market drops₹100, the exchange immediately debits ₹5,000 from your account and credits the short seller. If your margin falls below the maintenance margin, you get a margin call and must add funds today. If you can't, your position is liquidated. The exchange never lets losses pile up invisibly.

Why this matters: MTM transforms counterparty risk (risk that your opponent won't pay) into margin risk (risk you can't meet daily margin requirements). The exchange becomes the central counterparty, and daily cash settlement makes the system robust.


Deriving the Daily MTM Cash Flow

First Principles: What Changes Each Day?

On Day 0, you enter a long futures position at price F0F_0. The exchange sets this as your reference price.

On Day 1, the settlement price is F1F_1. Your position has moved by:

ΔF=F1F0\Delta F = F_1 - F_0

For a long position (you agreed to BUY at F0F_0):

  • If F1>F0F_1 > F_0: The contract is now worth more (you can "sell" it at F1F_1 instead of F0F_0). You profit.
  • If F1<F0F_1 < F_0: The contract is worth less. You lose.

Your Day 1 cash flow (per unit):

MTM P&L=(F1F0)×Contract Multiplier\text{MTM P\&L} = (F_1 - F_0) \times \text{Contract Multiplier}

If positive → exchange credits your margin account.
If negative → exchange debits your margin account.

Day 2 reference price becomes F1F_1, not F0F_0. So Day 2 P&L is (F2F1)×Multiplier(F_2 - F_1) \times \text{Multiplier}, and so on.

Multi-Day Cumulative P&L

Over nn days, your cumulative P&L is the sum of daily MTM:

Total P&L=i=1n(FiFi1)×M\text{Total P\&L} = \sum_{i=1}^{n} (F_i - F_{i-1}) \times M

This telescopes:

=(F1F0)+(F2F1)++(FnFn1)×M=(FnF0)×M= (F_1 - F_0) + (F_2 - F_1) + \cdots + (F_n - F_{n-1}) \times M = (F_n - F_0) \times M

Key insight: Even though cash changes hands daily, the cumulative P&L equals what it would be if you settled only at the end. MTM doesn't create or destroy value; it redistributes cash flow timing and enforces margin discipline.


Example 1: Long Nifty Futures with Daily MTM

Setup:

  • You go long 1 lot of Nifty futures at ₹18,000 on Day 0
  • Lot size = 50
  • Initial margin deposited = ₹1,000
  • Maintenance margin = ₹75,000
Day Settlement Price Day's Price Change MTM P&L (₹) Margin Account (₹)
0 18,000 1,00,000
1 18,200 +200 +10,000 1,10,000
2 18,100 -100 -5,000 1,05,000
3 17,800 -300 -15,000 90,000
4 17,500 -300 -15,000 75,000 ⚠️

Step-by-step reasoning:

Day 1:

  • Settlement moves from 18,000 → 18,200 (+200 points)
  • MTM P&L = (18,20018,000)×50=+10,000(18,200 - 18,000) \times 50 = +₹10,000
  • Your margin account: ₹1,00,000 + ₹10,000 = ₹1,10,000
  • Why this step? The exchange calculates your profit based on today's closing price vs. yesterday's reference Since you're long and price rose, you win; the short party's account is debited ₹10,000 and yours is credited.

Day 2:

  • Settlement 18,200 → 18,100 (-100)
  • MTM P&L = (18,10018,200)×50=5,000(18,100 - 18,200) \times 50 = -₹5,000
  • Margin: ₹1,10,000 - ₹5,000 = ₹1,05,000
  • Why? Price fell, you lose₹5,000. The reference resets to 18,100 for tomorrow.

Day 3:

  • 18,100 → 17,800 (-300)
  • MTM = 300×50=15,000-300 \times 50 = -₹15,000
  • Margin: ₹1,05,000 - ₹15,000 = ₹90,000
  • Still above maintenance margin (₹75,000), so no margin call.

Day 4:

  • 17,800 → 17,500 (-300)
  • MTM = 15,000-₹15,000
  • Margin hits exactly ₹75,000 (maintenance margin)
  • Margin call issued: You must deposit additional funds to bring margin back to initial margin (₹1,00,000), or the exchange will liquidate your position.

Cumulative P&L check:

  • Entry: 18,000, Current: 17,500
  • Total P&L = (17,50018,000)×50=25,000(17,500 - 18,000) \times 50 = -₹25,000
  • Margin account: ₹1,00,000 - ₹25,000 = ₹75,✓ matches the table

Example 2: Short Position MTM

Setup:

  • Short 1 contract at $80/barrel
  • Contract size = 100 barrels
  • Initial margin = $5,000
Day Settlement Change MTM P&L ($) Margin ($)
0 80 5,000
1 78 -2 +200 5,200
2 82 +4 -400 4,800

Day 1:

  • Price drops 80 → 78 (-$2)
  • You're short: You agreed to SELL at $80. If price falls, you profit (you can "buy back" cheaper).
  • MTM P&L = (8078)×100=+(80 - 78) \times 100 = +200$
  • Why? For shorts, the formula is (FoldFnew)×M(F_{\text{old}} - F_{\text{new}}) \times M. Price decrease → short profits.
  • Margin: 5,000+5,000 + 200 = $5,200

Day 2:

  • Price jumps 78 → 82 (+$4)
  • MTM P&L = (7882)×100=(78 - 82) \times 100 = -400$
  • Margin: 5,2005,200 - 400 = $4,800
  • Why? Price rose; shorts lose. You agreed to sell at 80,butnowthemarketisat80, but now the market is at 82—your position is underwater by $2/barrel from entry.

Cumulative check:

  • Entry 80,current80, current 82
  • Total loss for short = (8082)×100=(80 - 82) \times 100 = -200$
  • Margin: 5,0005,000 - 200 = $4,800 ✓

The Margin Account Mechanics

Margint=Margint1+MTM P&Lt\text{Margin}_{t} = \text{Margin}_{t-1} + \text{MTM P\&L}_{t}

Where:

  • Margint1\text{Margin}_{t-1} = balance before today's settlement
  • MTM P&Lt\text{MTM P\&L}_{t} = (FtFt1)×M(F_t - F_{t-1}) \times M for longs, (Ft1Ft)×M(F_{t-1} - F_t) \times M for shorts

Margin call trigger:

If Margint<Maintenance Margin    Margin Call\text{If } \text{Margin}_t < \text{Maintenance Margin} \implies \text{Margin Call}

You must deposit:

Funds Required=Initial MarginMargint\text{Funds Required} = \text{Initial Margin} - \text{Margin}_t

Why this structure? The initial margin is a buffer. The maintenance margin is the red line. The gap between them allows for normal daily volatility without constant margin calls. Once you hit maintenance, you must top up to initial—this ensures the exchange always has a cushion before your losses become the exchange's problem.


Common Mistakes & Steel-manning

Why it feels right: You see cash leaving your account daily when you're losing, so it seems like MTM is "costing you extra."

The steel-man: It's rational to worry about cash flow. If you have₹1,00,000 locked in margin and prices move against you, you need additional cash immediately—even if you're confident the market will recover. This is a real liquidity constraint.

The fix: MTM doesn't change your economic P&L. Whether cash moves daily or at expiry, your profit/loss is still (FfinalFentry)×M(F_{\text{final}} - F_{\text{entry}}) \times M. MTM only changes when cash moves and enforces that you can't let losses run beyond your margin. Think of it as "pay-as-you-lose" vs. "pay-at-the-end"—the total bill is the same, but the timing protects the system.


Why it feels right: You have a strong thesis. The market dropped temporarily; you know it'll recover by expiry. Why liquidate at a loss?

The steel-man: This confidence might be justified. Forced liquidation at the worst moment can lock in losses that would have been avoided if you could hold through volatility.

The fix: The exchange doesn't know your thesis. From its perspective, every defaulted trader once thought "it'll come back." Margin rules are non-negotiable. The solution: size your position so that even adverse moves don't hit your maintenance margin. If you can't afford daily volatility, your position is too large. Futures are leveraged; respect the leverage.

Formula insight:

Safe Position Size=Available CapitalInitial MarginDaily Volatility×MtimesRisk Tolerance (days)\text{Safe Position Size} = \frac{\text{Available Capital} - \text{Initial Margin}}{\text{Daily Volatility} \times Mtimes \text{Risk Tolerance (days)}}

Example: If Nifty daily volatility is ±200 points and you can tolerate 3 bad days before margin call, ensure:

Margin Buffer3×200×50=30,000\text{Margin Buffer} \geq 3 \times 200 \times 50 = ₹30,000

Worked Example3: Cumulative MTM Over a Week

  • 1 Gold futures at $2,000/oz
  • Contract size = 100 oz
  • Initial margin = $10,000
Day Price Change Daily MTM ($) Cumulative MTM ($) Margin ($)
0 2,000 0 10,000
1 2,020 +20 +2,000 +2,000 12,000
2 2,010 -10 -1,000 +1,000 11,000
3 2,030 +20 +2,000 +3,000 13,000
4 2,015 -15 -1,500 +1,500 11,500
5 2,025 +10 +1,000 +2,500 12,500

Daily MTM formula (long position):

MTMday i=(PiPi1)×100\text{MTM}_{\text{day } i} = (P_i - P_{i-1}) \times 100

Day 1: (2,0202,000)×100=+2,000(2,020 - 2,000) \times 100 = +2,0002,000Day2: **Day 2:**(2,010 - 2,020) \times 100 = -1,0001,0001,000 (reference was yesterday's 2,020)
Day 3: (2,0302,010)×100=+2,000(2,030 - 2,010) \times 100 = +2,0002,000$
And so on.

Cumulative MTM on Day 5:

+2,0001,000+2,0001,500+1,000=+$2,500+2,000 - 1,000 + 2,000 - 1,500 + 1,000 = +\$2,500

Direct calculation:

(2,0252,000)×100=+$2,500(2,025 - 2,000) \times 100 = +\$2,500 \quad \checkmark

Why track both? Daily MTM shows cash flow volatility (you need liquid funds). Cumulative MTM shows your actual economic position. Both matter: one for operations, one for strategy.


The Settlement Price: How It's Determined

Why not just the last trade? The last trade could be a tiny lot at an outlier price (manipulation risk). A VWAP smooths out noise and represents true market consensus.

Example: Nifty futures trade at 18,000, 18,010, 18,005 18,015 in the last minute. A single1-lot trade at 18,100 happens at 3:2959 PM. If the exchange used that, everyone's MTM would swing wildly on a fluke trade. Instead, VWAP might be ~18,008, reflecting actual liquidity.


MTM vs. Physical Delivery Settlement

Feature MTM (Daily) Physical Delivery (Expiry)
Cash Flow Timing Every day Only at expiry
Counterparty Risk Minimal (daily settlement) High (accumulates until expiry)
Margin Requirements Enforced daily Enforced at expiry (too late if default)
Suitable For All futures (index, commodities, etc.) Commodity futures with actual delivery intent

Key distinction: Even commodity futures that allow physical delivery (e.g., crude oil) still have daily MTM until expiry. Physical delivery is a separate final settlement event—you still get marked-to-market every day leading up to it.


Active Recall Challenges

Recall Explain MTM to a 12-Year-Old

Imagine you and your friend make a bet on tomorrow's cricket match score. You bet ₹100 that Team A will score 300+. But instead of waiting until the match ends, every hour you check the current score. If Team A is doing well (250 runs in 40 overs), your friend gives you ₹20right now as a "partial payment" because you're winning so far. If Team A is doing badly (150 in 40 overs), you give your friend ₹20 because you're losing so far.

At the end of the match, you've already been paying and receiving money all along, so the final settlement is just a small adjustment. That's mark-to-market! In futures trading, the exchange does this every single day—if your bet (position) is winning, you get cash; if losing, you pay cash. This way, no one can disappear with a huge debt at the end. You settle a little bit every day, so it's always fair and safe.


Money Transfers Move daily

Margin Trigers Matter: If your margin hits the floor, you must add more or you're out the door.

Visual: Picture a seesaw where cash flows from losers to winners every sunset—the exchange is the fulcrum, keeping it balanced daily.


Connections

  • 5.1.01-Futures-contracts-basics — MTM enforces the obligations created by futures contracts
  • 5.1.03-Margin-requirements — MTM determines when margin calls trigger
  • 5.1.05-Basis-and-convergence — Daily settlement price affects basis tracking
  • 5.2.01-Hedging-with-futures — MTM cash flow impacts hedge liquidity planning
  • 5.3.02-Clearing-house-role — The clearing house is the mechanism that executes MTM

Summary

Mark-to-market settlement is the daily reconciliation of futures P&L. Every day:

  1. The exchange fixes a settlement price
  2. Calculates (FtodayFyesterday)×Contract Size(F_{\text{today}} - F_{\text{yesterday}}) \times \text{Contract Size}
  3. Moves cash: credits winners, debits losers
  4. Resets tomorrow's reference price

This prevents counterparty default risk and enforces margin discipline. Your cumulative P&L equals what it would be with final settlement, but the cash flow timing is accelerated. If your margin account falls below maintenance margin, you face a margin call—add funds or get liquidated.

MTM is the heartbeat of futures markets: it keeps the system alive by ensuring losses never silently accumulate.


#flashcards/stock-market

What is mark-to-market settlement? :: The daily process where the exchange calculates profit/loss on open futures positions based on the settlement price, debits losers' accounts, credits winners' accounts, and resets the reference price for the next day.

Why do exchanges use MTM instead of settling only at expiry?
To prevent counterparty risk. Daily cash settlement ensures losses never accumulate silently—if a trader can't meet margin requirements, the position is liquidated immediately, protecting the system from default.
What is the formula for daily MTM P&L on a long futures position?
MTM P&L = (Today's Settlement Price - Yesterday's Settlement Price) × Contract Multiplier. If positive, your account is credited; if negative, debited.
How does MTM P&L differ for short positions?
For shorts, MTM P&L = (Yesterday's Price - Today's Price) × Multiplier. Shorts profit when prices fall, lose when prices rise.
What happens when your margin account falls below maintenance margin?
You receive a margin call and must deposit funds to restore your margin to the initial margin level. If you don't, the exchange liquidates your position.
Does MTM change your total economic P&L compared to settling only at expiry?
No. Cumulative MTM P&L equals (Final Price - Entry Price) × Multiplier, the same as if you settled once at expiry. MTM changes the timing of cash flows, not the total amount.
What is the settlement price and why not just use the last traded price?
The settlement price is the official price for MTM, often a VWAP over the last trading minutes. Using the last trade alone risks manipulation or noise from low-volume outlier trades.
You go long1 Nifty futures at ₹18,000 (lot size 50). Settlement moves to ₹17,700 the next day. What is your MTM cash flow?
(17,700 - 18,000) × 50 = -₹15,000. Your margin account is debited ₹15,000.
If initial margin is ₹1,00,000 and maintenance margin is ₹75,000, after how much loss will you face a margin call?
A loss of ₹25,000 will drop your margin to ₹75,000 (maintenance level), triggering a margin call.
Why is MTM considered a risk management tool for exchanges?
It converts counterparty risk (someone might not pay at expiry) into margin risk (which is monitored and enforced daily). The exchange always has a buffer before losses become unrecoverable.

Concept Map

uses daily

feeds

triggers

debits or credits

becomes next day

falls below maintenance

if unmet

transforms

into

summed over days

collapses to

Mark-to-Market Settlement

Settlement Price

Daily P&L Calculation

Actual Cash Transfer

Margin Account

Reference Price Reset

Margin Call

Counterparty Risk

Margin Risk

Telescoping Sum

Total P&L = Fn - F0 x M

Position Liquidated

Hinglish (regional understanding)

Intuition Hinglish mein samjho

Mark-to-market (MTM) settlement matlab hai ki futures trading mein apko expiry tak wait nahi karna padta ki aapne profit kiya ya loss. Har din exchangek kaam karta hai: aj ka closing price dekh kar calculate karta hai ki apka position kitna profit mein hai ya loss mein, aur turant paisa transfer kar deta hai—agar aap jeet rahe ho toh aapke account mein paisa ayega, agar haar rahe ho toh aapke account se paisa kat jayega. Yeh process "mark-to-market" kehlati hai, aur iska sabse bada fayda yeh hai ki koi bhi trader chupke se bahut bada loss nahi bana sakta aur bhag nahi sakta—kyunki har din ka hisaab clear ho jata hai.

Socho agar aapne Nifty futures ₹18,000 pe buy kiya aur agle din price gir ke ₹17,700 ho gayi. Exchange turant ₹15,000 (kyunki lot size 50 hai aur 300 points ka loss × 50 = ₹15,000) apke margin account se nikal lega aur us short seller ko dega jo aapke opposite bet laga raha tha. Agar apka margin account initial level se bahut neeche gir gaya (maintenance margin se bhi kam), toh apko margin call milegi—matlab aapko turant paisa add karna padega, warna exchange apki position band kar dega. Yeh system isliye hai taki system safe rahe—agar kisi ko loss ho raha hai aur woh pay nahi kar sakta, toh exchange usse position close karwa deta hai before woh problem bane.

Ek important baat: MTM se apka total profit ya loss change nahi hota. Agar aapne ₹18,000 pe kharida aur last mein ₹19,000 pe close kiya, toh aapka total profit ₹50,000 hi rahega (1,000 points × 50). Lekin MTM ka matlab hai ki yeh ₹50,000 apko ek sath nahi milega—har din thoda thoda milta rahega jab bhi price apke favour mein move karegi. Cash flow ka timing badal jata hai, lekin total amount same rahega. Isliye jab bhi futures trade karo, yad rakho ki tumhare pas liquid cash hona chahiye daily settlement ke liye, nahi toh margin call aa sakti hai aur forced liquidation ho sakta hai—chahe tumhara long-term view sahi hi kyun na ho.

Test yourself — Futures

Connections