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3
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2answers
657 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 ...
6
votes
1answer
8k 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 ...
2
votes
1answer
77 views

Pricing homogeneous Basket Default Swap

Consider a basket with $K=10$ names. Default times of the names, $\tau_k$, are i.i.d. random variables with distribution $P(\tau_k \leq t) = 1 - e^{-\lambda t}$. Suppose that each name in the ...
2
votes
3answers
69 views

How would I exploit arbitrage if risk-neutral pricing doesn't hold? (Option Pricing)

We are just learning about binomial option pricing, and how the up-factor and the down-factor must match the risk-neutral price. p * u + (1 - p) * d = continuous risk free rate compounded CRR ...
0
votes
1answer
70 views

Does presence of arbitrage necessarily make all derivatives have zero value?

Spin-off from: Pricing when arbitrage is possible through Negative Probabilities or something else I mean in a theoretical sense: If we have a particular market model with some fancy assumptions such ...
0
votes
0answers
61 views

Need help on bond pricing

Hello everyone, I'm struggling here with this exercise. At first it seems simple but I'm still not finding the answer. For the 1. I need the YTM but it's not provided. Is there anyone here that ...
1
vote
2answers
72 views

zero coupon problem calculus

I encounter a problem: do we have the following equality : $B(0,T_{i})e^{\int_{0}^{t}r_{s}ds}=B(t,T_{i})$ and if yes why because I am stuck with this ... I try to use that : $B(t,T_{i}) = ...
14
votes
2answers
484 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 ...
0
votes
0answers
27 views

hedging of a spread option with call

We have 2 underlying $S^{1}$ and $S^{2}$ with BS dynamic under the risk-neutral measure (r constant...) I found the (big) PDE satisfied by the price function $u(t,x,y)$ of a call spread whose payoff ...
0
votes
1answer
40 views

Do FRN's *always* trade on par on reset days, regardless if the issuer's credit quality has changed?

I keep reading that floating rate notes trade on par on coupon reset days. Is this always true, regardless of changes in the issuer's credit quality since the FRN was issued? It seems probably ...
0
votes
0answers
19 views

Is there any research for CoCo-Bond in a two factor model?

Basically I am trying to price CoCo-Bond with the AT1P from Brigo. But in the end this isn´t a two factor model. Is there any concret research about this topic? Kind regards, WLS
1
vote
2answers
355 views

How to price this option using the Black Scholes model?

I have a question regarding regular option pricing. In the standard Black-Scholes model, with interest r and volatility $\sigma$, I have to eetermine the arbitrage free price at time $t$ of an ...
1
vote
0answers
56 views

Turnbull & Wakeman Asian - not Edgeworth?

My understanding is that Turnbull & Wakeman derived an approximation formula for continous arithmetic Asian option using Edgeworth series by matching the first two moments. However, in the book ...
0
votes
1answer
59 views

Finding circumstances for price of call = price of put

Here is a problem in Hull's book and the given solution: My approach was to compute the profit $\pi = \pi_{SP} + \pi_{LC}$ (short put, long call). One can show that $\pi = \pi_{SP} + \pi_{LC} = ...
1
vote
0answers
15 views

Methods Available for Derivative Pricing in Mathematica? [closed]

I am using Mathematica to price options (built in functions, no need to reinvent the wheel, right?). In the documentation, the Binomial method is used as an example of specifying a non-standard ...
7
votes
4answers
603 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 ...
1
vote
0answers
18 views

Why is the forward price set to make the value of the forward contract to 0 when it is signed? [closed]

When I study the forward contract, I read that the forward price must be the price that makes the the value of the contract zero. I searched for the answer, but there are many versions. Some say it ...
1
vote
0answers
39 views

Is there anyone tried to use simultaneous stochastic differential equations?

I am looking for some examples or attempts of using simultaneous stochastic differential equations for financial analysis but there has been none so far. Is it just so nasty to apply such thing in ...
2
votes
0answers
30 views

Equity protection and butterfly certificates pricing

Certificates issued by famous industry names are usually made up by a combination of a fixed income instrument and some vanilla and exotic options. I am looking for something which explains: how to ...
1
vote
2answers
127 views

Why QuantLib computes the fixed-leg swap rate by this formula?

I'm trying to understand how QuantLib creates (bootstraps) a yield curve from a vanilla swap at the source level. I have the following test code: ...
1
vote
2answers
135 views

Clean EOD global Equities data provider for backtesting investment strategies

I'm trying to find a good source for global equities for EOD data (historical and forward basis), currently using Bloomberg's back office data, but it is very hard to normalize it for corporate ...
1
vote
0answers
79 views

PDE vs TREE vs MC vs Analytical

One what basis the pricing model can be differentiated for particular trade pricing. For exapmle why PDE or Binomial tree or MC or Analytical method will be consider for pricing any trade. Question ...
3
votes
3answers
789 views

Two different ways of pricing that leads to two answers

This question might appear trivial to many (considering the questions on this site), but I think it reflects something fundamental that I am missing. To keep things simple, assume everyone is ...
3
votes
1answer
48 views

Why risk-free interest is needed for Margrabe's Formula?

The source code for Margarble's formula in QuantLib is here. The implementation requires a forward price be computed: ...
3
votes
0answers
66 views

Yield for valuation of illiquid corporate bond

I am trying to value a illiquid corporate bond issued at a discount to face value by a privately held company in India. The corporate bond is a sinkable bond (amortizing principle) with coupon rate of ...
0
votes
0answers
44 views

Benchmarking option pricing under stochastic interest rates

I priced a long-term option (10 or 20 years) using two different models: one assumes constant interest rates, the other assumes stochastic interest rates. Is there a way (e.g. a benchmark) to ...
3
votes
2answers
3k 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 & ...
1
vote
2answers
421 views

FX Delta Conventions

I'm currently reading Iain Clark's book Foreign Exchange Option Pricing and I got stuck at one sentence in the beginning of Section 3.3 that I feel is important to understand. He writes: FX ...
4
votes
1answer
1k 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 ...
1
vote
0answers
89 views

Black Scholes Model Replicating Strategy Delta Hedged Exam Question

A share is currently priced at 640p. A writer of 100,000 units of a one year European put option with an exercise price of 630p has delta-hedged the option with a portfolio which holds cash and is ...
2
votes
0answers
69 views

How to calibrate volatility surface for Interest Rate Cap&Floor pricing

I'm using Black model to do interest rate Cap & Floor pricing. The volatility is determined by using the bootstrapping methodology. However, afterwards, how should I do the calibration, or ...
0
votes
0answers
39 views

Invoice Discount pricing model

I was wondering whether there exist pricing models in particular for Invoice Discounting contracts and short-term financing solution where credit risk plays a major role. Specifically, assuming that ...
6
votes
1answer
108 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 ...
2
votes
1answer
69 views

What is the filtration described?

What is the filtration $(\mathfrak{F}_t)$ encircled below? Is it $(\mathfrak{F}_t) = (\sigma(W_t)) = (\sigma(\tilde{W_t})), t \in [0,T]$? Or is it $(\mathfrak{F}_t) = (\sigma(\hat{W_t})), t \in ...
1
vote
1answer
44 views

Differential equation involving bond price and forward rate

Given forward rate f(t,T) and bond price P(t,T) where $f(t,T) = - \frac{\partial}{\partial T} \ln P(t,T)$, $P(T,T) = 1 = P(t,t)$, T>0 and $t \in [0,T]$ Does it follow that $P(t,T) = ...
0
votes
1answer
342 views

What constitutes an “odd lot” in corporate bonds trades?

This is important in price discovery and pricing of bonds based on trades. "Odd" lots are traded at lower prices than "round" lots. However I wasn't able to find a definition of "odd" lot anywhere. ...
6
votes
1answer
72 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 $2$, ...
1
vote
0answers
31 views

Total demand under logit model

The setting is simple, i.e. formula for demand of service/product is linear $$ d = \alpha - \beta p $$ where $ \alpha $ is maximum demand, $ \beta $ is some coefficient, and $ p $ is price. There ...
0
votes
1answer
130 views

Implication of the Greeks under jump diffusion model

Consider jump diffusion model proposed by Merton and Kou. As far as i know, most paper only dealt the valuation of option under the jump diffusion model. As i expected, because of the ...
3
votes
1answer
911 views

How does Hanson's Market Maker (LMSR) work?

Implementing Hanson's Market Maker states: If the market maker wants to quote a "current price", he can. The current price for outcome 1 is: $$ \mbox{price1} = ...
2
votes
0answers
237 views

How to price zero coupon bonds with the Monte Carlo method?

Im trying to calculate monthly ZCB bond prices with a fixed maturity T, over a period of months via Monte Carlo methods. Here is my attempt: For the first month, the price is $P_{t_0}(0,T) = ...
2
votes
2answers
2k views

How to price a bond without paper during interview?

I heard that this kind of questions appear a lot in the interviews. Here is one I saw from Galssdoor: Price a bond with coupon rate 3%, yield 9% and maturity 10 years. What is the typical way to do ...
2
votes
1answer
928 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 ...
1
vote
1answer
195 views

Normalization of Market Data in Time Series Correlation

Suppose we have 2 time series of market data, one for each security and we want to correlate between these 2 securities. My question is How do we handle gaps of missing data in the time series? ...
3
votes
1answer
126 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 ...
2
votes
1answer
106 views

How literature come up with risk-neutrality problem, considering that market is not really risk-neutral?

I am searching on real-option pricing deficiencies to encounter risk-neutrality. As we know risk-neutrality assumption, is not hold in real situations. The problem is that I could not classified ...
2
votes
3answers
1k views

RQuantLib, Hoadley and Bloomberg YAS: fixed rate bond pricing differences?

I'm trying to price a fixed rate bond one year from now on. The bond is the PEUGOT 7 ⅜ 03/06/18, whose ISIN code is FR0011439975. I'm using such a specific example because in this way everyone can ...
0
votes
0answers
5k views

Bloomberg Pricing Sources: TRAC vs. BGN vs. BVAL etc

Sorry, I'm very new to using Bloomberg as a tool, so please forgive the naïve question. I couldn't find much information after some cursory online searches, so I figured I'd ask here. Particularly ...
0
votes
1answer
230 views

Why does the price of a convertible bond go up if the CDS spread goes up?

Looking at convertible bond prices in a commercial pricing tool, which is based on a model of Black-Scholes volatility plus a Poisson process of jump to default, I noticed that increasing the spread ...
6
votes
0answers
178 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, ...