Questions tagged [pricing]

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38 views

Comparing theoretical value and Monte Carlo Simulation [closed]

I am trying to compare the theoretical value of a Call Option with its Monte Carlo value, and was wondering what to put as S in the Call Option formula, do I put S as the mean of the daily simulated ...
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1answer
125 views

Backshifting Price Timeseries with Memory Preservation

In Advances in Financial Machine Learning the author makes a case for fractionally differentiated price returns in chapter 5. The reason is to both maintain memory and to generate a stationary time ...
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2answers
217 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
2
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0answers
46 views

Valuing an electricity swap

A colleague of mine and I are debating how to price an electricity swap. Keeping in mind that electricity futures are delivered over a period of time rather than at a point in time, I maintain that ...
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2answers
232 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 ...
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1answer
231 views

Pricing of forwards contracts

Of the courses I am taking in college this semester, two are Financial Mathematics and Derivatives. In each course, we learn different formulas to calculate the forward price of a forward contract. ...
2
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1answer
122 views

Quasi Monte Carlo and Brownian bridge (how to combine them)

I am trying to understand how quasi Monte Carlo (QMC) and the Brownian bridge (BB) can be combined to price an asset, but I am having a hard time understanding how. I am just considering a European ...
2
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1answer
65 views

COS Method and existence of density

Hey in the COS method we use characteristic function of $\ln{S_T}$ to price european options (by recovering density from characteristic function). But how do we know that density exists? For example I ...
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1answer
79 views

Misconception about replicating portfolio [closed]

I am solving a problem in which following payoff is provided: With $S_0=100$ and $T=8$. Looking at the payoff it seems obvious that it is replicated with two european put options ($K=100$ and $K=150$)...
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1answer
41 views

Quantlib error initializing CapFloor C++ Class

I'd like to use QuantLib as a C++ library to price interest rate derivatives, in particular Cap&Floors. To semplify things a little, let's say I have a vector of EURLibor1Y rates for different ...
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0answers
41 views

Why are futures contracts on the secondary market described as having 1 price, instead of 1 price for contract buyers and a 2nd price for sellers?

I'm first going to describe how I believe the futures contract mechanics work, and please correct me where I'm wrong: A contract seller (in a short position because usually they don't actually ...
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1answer
48 views

Delta of a forwards contract

in university's lecture notes, from what I understand using the replication of portfolio principle to price derivates, the forward price of a contract K should be: $K = P_0(1+r)$ where $P_0$ is the ...
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38 views

Pricing a barrier call option using a copula

Consider two stocks, $S_1$ and $S_2$, with marginal pdfs $f_{S_1}$ and $f_{S_2}$. Assume $F(S_1,S_2)$ is the joint CDF. I'm trying work out a semi-analytic formula for the price of the barrier call ...
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0answers
42 views

Why do I get different results from different credit pricing engines in QuantLib

I am trying to use three credit pricing engines: IsdaCdsEngine, MidPointCdsEngine and IntegralCdsEngine but I am getting different NPV results from each of them. The case is like this: When I have as ...
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1answer
170 views

No-arbitrage arguments: how do additional fees affect futures on an index?

I am considering a fund that replicates the returns of an index minus a fee, using the following case-study my lecturer used regarding SPY: In practice, futures and forwards can be written on assets ...
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3answers
134 views

Are there really closed-form pricing formulas? [closed]

Good morning to all, I wanted to post this question here hoping to have more details. The concern, in my opinion, comes from the fact that the concept of "closed-form" is not clear. Because, ...
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0answers
32 views

CMS Convexity adjustment with negative interest rates

I need to price bonds with CMS-linked coupons. In order to determine the convexity adjustment to apply to the forward rates, I would use the formula that appears in Hull's Futures, Options and other ...
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0answers
61 views

Historical data on valuations for internet companies during dot-com bubble

I am looking for data on historical valuations for internet companies during the years of the dot-com bubble (2000 - 2002). I know that big auditors have or at least have access to such data on ...
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1answer
154 views

DV01 on LIBOR vs. SOFR basis Swaps

If I had entered into a USD 10mn pay SOFR, receive 3M LIBOR swap with a 5yr maturity, I would have had a positive NPV of about 80k by the beginning of March due to the massive drop in SOFR (1.55 to 0....
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1answer
72 views

When you rollover a FX Forward, do enter the FX swap at the spot rate or previous forward rate?

from below link: https://www.linkedin.com/pulse/distinction-between-fx-swaps-currency-risk-management-akubue-cfa/ "if the date of settlement of the export proceeds has been extended by three ...
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1answer
64 views

Price a contingent claim with payoff $(S_T-K)1_{\{S_T>K\}}1_{\{L\leq X_T\leq U\}}$

I'd like to price the following contingent claim using a copula model. $$V_T = (S_T-K)1_{\{S_T>K\}}1_{\{L\leq X_T\leq U\}}$$ where $S$ and $X$ are two stock price processes which follow a non-flat ...
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1answer
81 views

Copula analytic formula for $max(S_T^1 - K, 0) 1_{\{L<S_T^2<U\}}$

Consider the payoff function $$ V_T = max(S_T^1 - K, 0) 1_{\{L<S_T^2<U\}} = (S_T^1 - K)1_{\{S_T^1 > K\}}1_{\{L<S_T^2<U\}}$$ where $S_T^1$ and $S_T^2$ are two GBM distributed stocks with ...
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1answer
68 views

FX swap par value

What is the relationship to apply so that an FX swap value is 0 at inception? For example, for a short 1y EURUSD swap with 1mm euro notional, at inception spot = 1.1000 and 12m fwd = 1.1022, EUR 1y ...
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2answers
57 views

What is IV % actually measuring? [closed]

If the Implied IV of an option is 40%, what is the 40% representing, 40% of what? Does that mean the underlying stock is estimated it may move up or down 40% in a day, month year? The option price may ...
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0answers
12 views

How to find State price vector given inflation rate, bond price, states of nature, and dividend

Suppose you have the following information on prices of some assets. The inflation rate is 2%. The one period zero-coupon bond with a face value of 100 is sold at a price of 96. There are two states ...
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1answer
73 views

Premium of FX Option with American Barrier

I have been trying to understand how to price FX options with barriers. In Hull (Options, Futures, and Other Derivatives), there are closed formulas how to calculate the premiums of European Call and ...
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0answers
18 views

Literature or proof of a lower price for long-term contracts (B2B)

I am currently working on a paper and I am stating that usually long-term supplier - customer contracts result in lower prices. This seems really clear to me. In the B2C spectrum there are many ...
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0answers
60 views

Using Quantlib to pricing a FR007 swap (which is compounding interest rate in floating leg)

You can treat the FR007 swap like this: The fixed-rate leg is the same as the fixed-rate leg of the LIBOR swap. The floating rate can be treated as the combination of some 3-months maturity compound ...
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1answer
170 views

Monte Carlo simulation for OTM options under stochastic volatility

I'm looking to simulate the stochastic price and volatility process (Heston model) using some form of Euler method for Monte Carlo approximation of option prices. The results that I get are acceptable ...
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0answers
158 views

Valuation of Corridor Variance Swaps

Given that the payout of the Corridor Variance Swap (CVS) is $V \left(\frac{\sum_{n=0}^{N}I}{T_2 - T_0} (\sigma^2 - K^2) \right)$, where $\sigma^2$ is the realized variance within the pre-specified ...
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1answer
59 views

Appropriateness of the Bloomberg CLO Cashflow Generator

Since CLOs seem to gain in popularity because of the COVID-19 crisis, I came across the possibility in Bloomberg to generate cashflows for newly issued CLOs through the function "weighted average ...
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0answers
7 views

Per-user pricing / overlapping pricing

I am releasing some educational software that can track student progress. I am having trouble coming up with a good pricing scheme. I do not want it to be too cheap for single users as there is a lot ...
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1answer
66 views

How to construct a GBP FVA curve from a USD FVA curve

Our business funds itself in 2 currencies, USD and ZAR. As a consequence we have a USD funding curve. I need to price a GBPZAR cross-currency swap (XIRS) against a counterparty with which we have no ...
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1answer
90 views

No-arbitrage Pricing

We have a contract whose value is $A(S_t,t) = S_t^3$ at all times, not just at expiration. $S_t$, the underlying stock, follows a Geometric Brownian Motion, $\frac{dS}{S} = \mu dt + \sigma dB$. How ...
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1answer
161 views

If I have the present value of an amortizing bond's cashflows, how do I figure out price?

Say that I correctly compute the sum of cash flows of a given bond. How does this relate to the quoted price that most people understand? IE, based on the sum of cashflows I derive a PV of 5,000,000 ...
2
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1answer
111 views

Autocall pricing: what does “Lipschitz continuous parameterization” mean?

I've been reading through this research paper (A Monte Carlo Pricing Algorithm For Autocallables That Allows for Stable Differentiation by T. Alm, B. Harrach, D. Harrach, M. Keller) about a method for ...
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4answers
363 views

What book(s) would you recommend for structuring and pricing Exotic Products?

I've been looking for good books on structuring equity derivatives (Principal Protected Notes, Autocalls, Lookbacks, Reverse Convertibles etc). I only found ones that discuss mainly the theoretical ...
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0answers
64 views

Pricing of autocallable structured product

I'm looking at this paper: https://doi.org/10.1057/jdhf.2011.25, which is on pricing autocallable structured product. The author uses the Black-Scholes equation to describe the product's dynamic value,...
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0answers
81 views

Can arbitrage arguments be rearranged to avoid selling? (Hull, Chapter 5)

Suppose forward contracts are traded on a consumption asset, so there aren't necessarily people ready and willing to sell the asset to jump on an arbitrage opportunity. Suppose the asset has no yield, ...
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1answer
50 views

I have missing data on my portfolio weightings but it can be solved through stock prices - how can I code to find this? [closed]

firstly I would like to say sorry for the title - its not the best. In fact its crap. Here is my problem (I am new to coding btw - still learning) I am using Python on my MacBook - using Terminal. I ...
3
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1answer
148 views

Why are some metals in contango (inverted) forward curve and some in backwardation (normal) forward curve?

I am scrolling through the various metals on lme.com and some are in contango and some in backwardation. For example: Copper: backwardation Aluminium: contango Further examination of other metals ...
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0answers
62 views

Stocks with same volatility but different drifts

In the book Quant Job Interview Questions & Answers, in section 2, question 2.4 says suppose two assets in a Black-Scholes world have the same volatility but different drifts. How will the price ...
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0answers
105 views

Linear factor representation Pricing kernel APT

following Cochrane (2005) and other insights, we know that under Arbitrage Pricing Theory (Ross, 1976), if investors believe returns follow a linear multifactor structure of the form $x^i=r^f+\sum_{j=...
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1answer
85 views

Market Maker option's pricing with reference spot

When a option's market maker receives a quote from a broker, usually the underlying spot prices is locked with a reference. Let's suppose the following example: Broker: "Buy 10k call 2800 of ABC ...
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1answer
130 views

Quantlib: How do I price a bond after having built a term structure

I below are my codes using QuantLib to build a term structure What I would like to do is use that to price any hypothetical bond lets say startdate : 8 Feb 2016 end date : 8 Feb 2021 coupons : 10% ...
2
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1answer
145 views

Modelling Geometric Browian Motion price model with stochastic volatility

I'd like to generate scenarios (simulate several paths of the process) for several stocks using multinomial Geometric Brownian Motion under Stochastic volatility assumption. I'm going to use it in my ...
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0answers
76 views

Operator splitting method on three assets black scholes equation

Currently I am studying finite difference method on derivatives with three (or more) underlyings and little bit confused on operator splitting method because two papers have different result. For the ...
3
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3answers
424 views

Which measure is used to price a swap?

When we value the floating leg of a standard vanilla swap, we replace the expectation of the future floating rates by the forward rates known today. However my understanding is that the forward rate ...
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0answers
26 views

What is a succinct description of the difference between neutral and indifference pricing as per Srdjan Stojanovic?

His book (Neutral and Indifference Portfolio Pricing, Hedging and Investing With applications in Equity and FX, by Srdjan Stojanovic, Springer, 2011) is not quickly readable. Wikipedia entry on ...
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0answers
64 views

Confused about discretization

I am reading a paper here: https://pdfs.semanticscholar.org/5f91/2d46b02b03230a4ffaaa42d655b2b6147d56.pdf The following is my confusion. The paper has the following continuous time model for the price ...

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