Questions tagged [pricing]
The pricing tag has no usage guidance.
297
questions
23
votes
2answers
14k views
Cross Currency Swap Pricing in nowadays environment
Multicurve setting has now become the new paradigm for vanilla swap valuation. For the record I give here (without getting into too much details) the methodoloy for pricing Euribor3M swaps in this ...
23
votes
2answers
3k views
Which interest rate model for which product
Given the multitude of existing interest rate models (ranging from simple to very complex) it would be interesting to know when the additional complexity actually makes sense.
The models I have in ...
18
votes
1answer
16k views
What is the reason for the convexity adjustment when pricing a constant maturity swap (CMS)?
I'm trying to wrap my head around pricing a Constant Maturity Swap (CMS). Let's imagine the following deal: 6m LIBOR in one direction, 10y swap rate in the other. The discount curve is derived from ...
16
votes
1answer
2k views
Is QuantLib more trouble than it's worth?
I'm just starting to work with QuantLib and wonder if I'm going down a very wrong path.
I'm working on a site that presents the visitor with a table of streamed real-time options data, including ...
14
votes
3answers
5k views
What is the Risk Neutral Measure?
What is the Risk Neutral Measure?
I don't believe this has been answered on the internet well and with all the parts connecting.
So:
What is the risk neutral measure/pricing?
Why do we need it?
How ...
14
votes
3answers
3k views
Implementing a Fast Fourier Transform for Option Pricing
So, I'm in need of some tips regarding a small project I'm doing. My goal is an implementation of a Fast Fourier Transform algorithm (FFT) which can be applied to the pricing of options.
First ...
14
votes
2answers
2k views
For which instruments performs SABR/LMM better than LMM?
For which class of instruments the SABR/LIBOR Market Model does perform better than the classical LIBOR Market Model?
The LIBOR Market Model
The LIBOR Market Model — also known as Brace, Gatarek, ...
13
votes
2answers
284 views
Why do we need to split market and default information into 2 separate filtrations?
The reduced-form approach to modelling derivatives with credit risk normally assumes the existence of two filtrations:
A market filtration $(\mathscr{F}_t)_{t\geq0}$ carrying market and economic ...
12
votes
4answers
4k views
Why does it take so many lines of code to price even the simplest of options with QuantLib
I have been looking at QuantLib I am trying to figure out why I need to write so much boilerplate code even when pricing the "simplest" of European Options using the analytical Black-Scholes formula (...
11
votes
4answers
7k views
What is the importance of alpha, beta, rho in the SABR volatility model?
I just read that SABR model is a stochastic volatility model, which attempts to capture the volatility smile in derivatives markets. The name stands for "stochastic alpha, beta, rho", referring to the ...
11
votes
2answers
3k views
How to derive the price of a square-or-nothing call option?
At maturity $T$, the holder of a "square-or-nothing" call option written on an underlying $S_t$ receives a payoff of the form
$$ \phi(S_T) = \frac{S_T^2}{K} \pmb{1}_{\{S_T \geq K\}} = \begin{cases}\...
11
votes
5answers
11k views
Calculate Average Price, Cost, (Un)Realized P&L of a position based on executed trades
We have built an algorithmic trading software and need to calculate the following parameters for each position in our portfolio.
Average Price
Cost
Realized Profit & Loss
Unrealized Profit & ...
11
votes
1answer
544 views
Numeraire correlated to the traded asset
The Fundamental Theorem of Asset Pricing states that:
\begin{align*}
\frac{X_0}{N_0} &= \mathbb{E}^N{ \left[ \frac{X(t)}{N(t)}|\mathcal{F}_0 \right] }
\end{align*}
The usual conditions apply (both ...
11
votes
1answer
2k views
Price functions based on order book events
Assume some equity traded on a given exchange based on an electronic limit open-order book $B$ that makes sequential updates as a function of time $t$. What are "natural" or common price functions $P: ...
11
votes
1answer
316 views
How to handle coupon payments when pricing a bond with an embedded option?
I'm using a binomial tree to price a bond that has an embedded call or put option.
On every node that has a coupon payment, do you include the coupon payment then max/min out the value, or do you max/...
10
votes
2answers
440 views
Differences between main classes of interest pricing derivatives models
There seems to be 3 main classes of interest rate pricing models: 1) Short rate models, 2) Heath Jarrow models and 3) Libor Market Model. My book doesnt seem to explain why we need all these different ...
9
votes
2answers
3k views
Looking for a recommendation for a Fund Transfer Pricing modelling book
Recently I started working in a bank as a modeler, one of the possible topic is FTP - Fund Transfer Pricing.
After I studied that subject a little on wiki and read a website or two in that field I ...
8
votes
1answer
2k views
Arbitragefree Pricing: Q vs. P
I read that the Fundamental Theorem of Asset Pricing states, that a market is arbitrage-free if and only if there exists an equivalent martingale measure Q, under which the discounted asset price ...
8
votes
2answers
554 views
What is the industry standard pricing model for CME-traded Eurodollar future (American) options?
The CME-traded Eurodollar futures option is an American option.
What is the industry standard pricing model for this product?
Does the industry practice to treat CME-traded Eurodollar futures ...
8
votes
1answer
145 views
Calibration of nested pricing models consistently on two different classes of derivatives
Hi everyone, I'm programming in MATLAB and I have the following optimization problem in calibrating several nested specifications of pricing models.
Summary: I have two pricing models ($1$ and $2$, $...
8
votes
2answers
615 views
Efficiency vs. Robustness - To use a constant or not in single factor time-series regression?
Arbitrage pricing theory states that expected returns for a security are linear combination of exposures to risk factors and the returns on these risk factors. Betas, or the exposures of the security ...
8
votes
1answer
237 views
FTAP a-la Harrison, Kreps and Pliska
I was reading the papers co-authored by Harrison, Kreps and Pliska, that initiated the formal research on the connection between pricing, martingale measures, arbitrage and completeness. I have some ...
7
votes
2answers
1k views
Which interest rate should I use for the discount rate in real-world pricing?
Suppose I want to compute the time value of money (present value, future value, etc). I need to put an interest rate into the calculation.
Which real world interest rate would best be used here, ...
7
votes
1answer
21k views
The difference between Close price and Settelment Price for future contracts
What is the difference between Close price and Settlement Price for future contracts?
Is there a defined rule for evaluating the settlement price or different rules are applied for each instrument/...
7
votes
2answers
475 views
Is it true that pricing an IR swap doesn't require any stochastic model but calculation of the PFE of an IR swap would?
Pricing an IR swap doesn't require any stochastic model but calculation of the PFE for an IR swap would require the Hull White Model or any other stochastic short rate or forward rate model.
Is this ...
7
votes
1answer
1k views
Sanity check - How to price callables
This question is meant as a sanity check whether i got the workflow right for pricing callable bonds. If anyone finds a mistake, or has a suggestion, please answer.
The workflow is:
For every call ...
7
votes
1answer
5k views
Correct way to calculate bond's Yield-to-Horizon
I'm creating some .Net libraries for bond pricing and verifying its correctness with a bond pricing excel spreadsheet (Bond Pricing and Yield from Chrisholm Roth) but I believe it calculates the Yield ...
7
votes
1answer
622 views
Exposure calculation of a re-coupon swap
How to calculate the exposure of a recoupon swap (when the MTM of an i.r. swap is settled and the fixed rate is reset to the prevailing swap rate for the residual maturity).
It's used to reduce the ...
6
votes
2answers
3k views
Free and tested optimization, statistical and visualization packages for C#
I am about to implement a variation of the LIBOR-Market-Model (complete with Least-Square-Montecarlo, calibration, pricing etc.) and decided to implement it in C#.
The implementation will involve ...
6
votes
2answers
404 views
Which quantitative tools are actually used for hedging energy price and volume risk?
I'm a finance professor and I am looking for someone with actual trading and risk management knowledge within the energy sector who can tell me about pricing and hedging energy (especially electricity ...
6
votes
2answers
190 views
How to price, hedge ESG-dependent products?
I read with interest news about Netherlands bank trading several novel products in which a counterparty pays floating cash flows linked to the counterparty's ESG (environment, social, governance) ...
6
votes
2answers
315 views
Can the concept of negative probabilities be used to price a call option?
Edit: I'm a dumbass. The thing below is supposed to be just the motivation of asking. I want to ask for below and in general, hehe.
Assume that we have a general one-period market model consisting of ...
6
votes
0answers
167 views
The concept of an incomplete market
While skeeming the relevant literature and web-sites I noticed that mostly the concept of the incomplete market is reduced to the following statement
"A market is incomplete if there are more ...
5
votes
1answer
5k views
The effect of negative interest rates on derivative pricing
I am trying to get an overview of the impact on negative interest rates on financial products (in general). For the time being I distinguished the following products
Vanilla options
Exotic options
...
5
votes
1answer
245 views
Change of measure's impact on parameter value
This is a follow-up question on Price of a prepayment-based claim.
Consider a zero-coupon bond of maturity $T$ with price $P_0$ for which the borrower can reimburse the principal $N$ at any time $\...
5
votes
2answers
8k views
How to get real-time data for Fama-French model?
For Fama-French model we need SMB (small[market cap] minus big) and HML (high[book-to-market-ratio] minis low). I want to ...
5
votes
1answer
3k views
Pricing an interest rate swap using Eurodollar futures
I see this posted but no answer given. I think it would be a good idea if we have a question on here to illustrate an example of how to price an interest rate swap.
So far, I understand that that for ...
5
votes
2answers
241 views
Strategy of replicating a portfolio with payoff $\int_0^T \frac{dS_t}{S_t}$
Given the asset price $S_t$ which is defined as follows
$$\frac{dS_t}{S_t}= r_tdt+\sigma_tdW_t$$
where $r_t$ is not necessarily deterministic.
What is the strategy of replication of the portfolio with ...
5
votes
1answer
1k views
Libor to SOFR transition Yield Curve Construction
With the imminent transition from LIBOR to SOFR next year, what are the data points practitioners are using to the yield curve? Also, since LIBOR implicitly took into account credit risk of the ...
5
votes
2answers
7k views
How to derive Black's formula for the valuation of an option on a future?
I've got a question about 1976 Black Model and Bachelier model.
I know that a geometric brownian motion in the P measure $dS_{t}=\mu S_{t}dt+\sigma S_{t} dW_{t}^{P}$ for a stock price $S_{t}$ leads (...
5
votes
2answers
465 views
Foward-start option pricing
Consider a probability filtred space $(\Omega, \mathcal F, \mathbb F, \mathbb P)$, where $\mathbb F = (\mathcal F_t)_{0\leq t\leq T}$ satisfing the habitual conditions and is generated by $1 d $- ...
5
votes
1answer
324 views
Resources to read more about/learn how implied pricing works
I was looking at this video today:
http://www.cmegroup.com/education/interactive/webinars-archived/implied-price-functionality.html
on implied pricing. And am aware that implied orders/pricing ...
5
votes
1answer
271 views
Pricing in the Heston Model
The dynamics of the Heston Model is
\begin{align*}
\frac{dS}{S} & = \lambda \sqrt{\nu} d W^S \\[0.5em]
d \nu & = k (1- \nu )dt + \epsilon \sqrt{\nu} dW^\sigma
\end{align*}
where $\lambda$...
5
votes
1answer
3k views
what's the difference between Peak-Load pricing and price discrimination?
i just don't get it.
Peak-load pricing wiki page gives example:
in public goods such as public urban transportation, where day demand
(peak period) is usually much higher than night demand (off-...
5
votes
0answers
287 views
pricing option with two stocks
Let $\left(S_t^{(1)}\right)_{t\ge0}$ and
$\left(S_t^{(2)}\right)_{t\ge0}$ be the price processes of two stocks
with dynamics
$$ \begin{align}
& dS_t^{(1)}=\sigma_{11}S_t^{(1)}dW_t^{(1)}
\...
4
votes
2answers
2k views
Does Fama French Three Factor Model Work out of Sample (after 1993)?
Does anyone know if the Fama-French three factor model has been re-examined empirically after 1993, when the original paper was first published?
I am asking because there seems to be considerable ...
4
votes
2answers
223 views
what does the cover page of Guyon and Labordere's Nonlinear Option Pricing represent?
It could be a bit offtopic, but I don't see the link between the contents of the book and the cover page.
Thanks
4
votes
2answers
446 views
Basic question about bonds pricing
I decided to recap my knowledge in interest rates, and decided to start with Chapter 4 on interest rates (in 8th edition) of the Hull's book "Options, Futures and Other derivatives". In 4.3 the ...
4
votes
2answers
352 views
How could Renaissance Technologies have near real-time prices on corporate bonds and other debt? [closed]
Julie Segal, What Renaissance Technologies has that you don't..., Institutional Investor, October 17, 2017.
Does this just mean they are aggregating data from vendors like MarketAxess? Or is ...
4
votes
1answer
102 views
Equivalence of Put Pricing Formulas
I have to show that:
\begin{equation}
P_{t,T}(K)=e^{-r(T-t)} \int_0^{\infty}\left(K-S\right)^+ q_T^S(S)dS
\end{equation}
is equivalent to:
\begin{equation}
P_{t,T}(K)=e^{-r(T-t)}\int_{-\infty}^{...
