Questions tagged [pnl]

P&L, or pnl, is a short hand for "profit and loss". which denote the balance sheet of a position in assets over a period of time.

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How to determine what's driving the VaR?

I am given the following data: Historical (260 days) P&L vector of a portfolio. Specific P&L's for each investment in the portfolio, for the 10 days with the lowest P&L. The question ...
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Good references on PNL explain?

Can anyone share good references for how PNL explain should be calculated and presented for the best use of a derivatives trading desk?
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Gamma PnL Formula and Break-Even volatility

When we derive the P&L of a delta hedged option we obtain: $$ \text{P&L}=\dfrac{1}{2}\Gamma(\delta S)^{2}-\theta\delta t $$ and setting equal to zero and rearranging we obtain: $$ \dfrac{1}{...
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Calculating PnL on Swap Spread Trade

Say I am a long a 10Y US govt. bond and short (i.e., pay fixed) a 10Y US IRS. The swap spread moves, for example, from -0.25 to -0.3. What do I need to calculate P&L (approximately)? Are such ...
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Gamma PnL from Itô's Lemma derivation

The change in a call portfolio ($f$), derived from Itô's Lemma, is: \begin{align*} \left( \frac{\partial f}{\partial t}+\frac{1}{2}\sigma^2S^2\frac{\partial^2 f}{\partial S^2}\right)\mathrm{d}t &=...
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PnL with FIFO and LIFO

I have the following trades: ...
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performance measure using pnl series

I have a time series of \$pnl of a strategy and nothing else. Can i use it to come up with some sort of a performance measure adjusted for risk? Is $$ \frac{average(\$pnl)} {sigma(\$pnl)}$$ ok to use ...
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Generating a P&L that is linear in the variation on an underlying at no cost

I am actually reading Lorenzo Bergomi's "Stochastic Volatility Modelling" book, and came across this bit : I understand everything up to (5.5) included. But I don't see the point in mentioning the ...
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Explain daily P&L by risk factor for a portfolio of bonds and FX forwards

I was once an intern for a small bank with a portfolio mainly composed of gov. bonds, FX Forwards and time deposits. We used to report the daily P&L along with a P&L atributtion to each of the ...
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Continuous Percentage Profit and Loss calculation

I need to calculate a profit and loss for an equity timeseries. The position size (column D in the below table) is not binary (not moving from zero position to a position and then back to zero ...
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An arbitrage strategy involving forward contracts to show that LIBOR rates are martingales

I note $L_{t}^{[T_s, T_e]}$ the forward rate at time $t$ for the period $[T_s, T_e]$. Recall it is the strike making equal to $0$ the value at time $t$ of a forward contract for the period $[T_s, T_e]$...
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Why using mid price to compute mark-to-market P&L if it is less accurate than using bid/offer price?

Why using mid price to compute mark-to-market P&L if it is less accurate than using bid/offer price? If spread is wide, mid is really not representative of what you would get by getting rid of ...
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What is "swimming delta" as a risk attribute in pnl explain?

What is swimming delta as in risk attribution?
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Structured Trade / Hedge consistency

I have a question regarding the marking consistency (from an accounting point of view) between bespoke structured trades and the listed instruments that may be used for their hedging purpose: Since ...
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Question about using Ito's lemma in Gamma PnL

While deriving the delta hedge error if we hedge with implied vol, and the true vol is different, we say that the PnL of the call option is: $$dC=C_tdt+C_SdS+0.5C_{ss}<QV>dt - (1)$$ Where $<...
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Can we rewrite the pnl of a continuous hedge option as the time average of the volatility weighted by the square gamma?

From what I understand of El Karoui BS Robustness Formula, we can write the PnL of a continuously hedged option as the time average of the volatility weighted by the square gamma, is that right? $$PnL ...
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How to compute a portfolio PnL and Sharpe?

I understand this is quite the common question but I haven't been able to understand this concept through the previous posts. My situation is that each day, I'm interested in buying/selling one ...
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Delta hedging/Gamma PnL

Suppose I am long USDIDR straddle with my start of the day delta being USD10m long IDR and USDIDR gamma being $5m. There is a 1% intra-day IDR strengthening, so my delta becomes roughly long IDR 15m....
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Gamma PNL for Convertible Bond

so just trying to compute gamma PNL for some CB positions using Bloomberg data for delta/gamma. for a CB, BBG has delta 0.74 and Gamma 0.00524. if I want to compute the delta PNL and Gamma PNL for a ...
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Market maker hedging model

I understand that most market makers maintain non directionality i.e. they always aim to be perfectly hedged. So if they take a long position in X, they will take an offsetting short position in a ...
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Break-even volatility for delta hedge portfolio

After simulating practical and theoretical PnL of a delta hedged portfolio on some data from the SPX500 under 0.15 management Vol I want to find the Vol which gives me an accumulated PnL of 0. ...
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Resource to learn about Long / Short Commodities portfolio

As title says, I'm looking to learn more about Commodities trading and how to report and monitor a Long short Portfolio. Can anyone point me to a good book / website where I can improve my knowledge? ...
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VarSwap PnL formula

I came across this formula for the varswap PNL: let $r_i$ be the log return over $[t_i,t_{i+1}]$ and suppose we risk manage the VS at a fixed implied volatility sigma, the PnL of (the payoff) over ...
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Return on a CDS portfolio

Good evening, I try to compute the performance of a portfolio of a CDS. I already know how to mark-to-market a CDS but typically, the first time you enter a CDS, you invest zero as the mark-to-market ...
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Calculating PnL on Eurodollar futures trading

I'm trying to understand how the published prices for futures relate to how much is actually spent when you execute. For example: looking at GEH8 on 4/19/2017. The quotes look like 98.50, 98.515, but ...
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How does a Short position impact the PnL?

I have several activity records which include several transaction types: buy, sell, short, <...
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compute Expected Shortfall / Conditional VaR from distribution

I want to compute the Expected Shortfall from a distribution of returns. I have no closed solution for my distribution of returns, so I wonder if I can simply compute ES by taking the mean of all the ...
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Delta Hedged PnL on Call Spread

Suppose I buy a call and then sell a call one dollar in strike higher. Suppose I get into this position for 10 cents lower than it is theoretically worth. (I.e if this spread is worth 0.50 I just ...
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Gamma PnL when hedging with implied volatility - where is the mark to market PnL?

It is well known that hedging with implied volatility involves a PnL: $0.5*(σ^{2}_r−σ^{2}_i)S^{2}*Γ_{i}dt$ In the Wilmott paper (http://web.math.ku.dk/~rolf/Wilmott_WhichFreeLunch.pdf), they imply ...
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Using Taylor formula with logarithmic returns

I would like to calculate PnL scenarios for an FX portfolio using Taylor series approximation: $$ \begin{align} \text{PnL} \approx \delta \Delta r + \frac{1}{2} (\Delta r)^2 \Gamma \end{align} $$ I ...
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Historical PNL using Taylor Expansion for Gamma Ladders

I have DV01 and Gamma Ladder for IR Swaptions and the historical market data of the underlying swap curve. Can someone please help me understand how to calculate historical PNL using taylor expansion ...
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realized/unrealized PnL with leverage

Look at this trade: ...
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realized/unrealized PnL with multiplier

Look at this trade: Sequence Side Quantity @ Price 1. Buy 1000 @ 1000 2. Sell 1000 @ 1250 The calculation of the realized PnL: ...
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Cross Gamma PnL Formula

sort of dumb question. I understand well the relationship between Gamma/Theta pnl for options on single underliers. I'm (attempting) to move onward and upward to options on baskets. Conceptually, I ...
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Systematic trading strategies - Selling 1M Straddle

I am trying to compute the daily P&L of the following systematic trading strategy: sell each day a 1M straddle on EUR-USD from 04th January, 1999 to today. My dataset contains the strike, the spot,...
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1 answer
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How to attribute daily options P&L between Greek sensitivities [duplicate]

When building a P&L attribution system for options, what is the market convention for attributing daily P&L between delta, gamma, vega, and theta Greeks? I'm particularly interested in how ...
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Calculating Rolling P&L of Trade Log

I have an extensive trade log of historical buy and sell orders and I am trying to calculate the running p&l of the trading results. Most rows represent partial fills where there is still a ...
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Greeks Intraday Characteristics and PnL of options

I am modeling intraday and short term options on Futures.Think Monday, wednesday, friday contracts on these tickers: ES, NQ, CL, ZN, ZF, NG. I am wondering about documentation for Intraday greek ...
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