Questions tagged [financial-engineering]

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Does ratioa of risk-free asset and risk asset change efficiency in potfolio (counter-intuitive result in simulation)?

Good morning to all VSP (Very Smart People). I would like to receive your insight on a Monte Carlo simulation with a simple binomial pricing model that yielded a counter-intuitive result. I am not ...
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1 answer
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Martingales and Arbitrage in Multiperiod Securities Markets

I have been reading the paper "Martingales and Arbitrage in Multiperiod Securities Markets". The paper works in the probability space $(\Omega, F, \mathbf{P})$. $X$ is defined as the set of ...
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Questions on the calculation of time series momentum

I read Moskowitz, Ooi, Pedersen's Time series momentum (2012). The ex-ante volatility estimate (equation (1) in the paper) is I am not sure about the period of the return reflected in the volatilty ...
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Mechanism design in continuous time models

I am interested in mechanism design and information design. Is there any part of the literature in financial mathematics that is associated with them. I mean could we bring somehow these topics under ...
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Is there a financial instrument that is exposed to the change in growth of an asset over time?

Is there a financial instrument that is exposed to the rate of change of the value of a specific asset? If I believe a stock price will continue to grow in the future, but grow more slowly than in the ...
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Brownian Bridge from timestep 1 to timestep @ expiration, proper mathematical way to generate

When I was learning finance, we didn't cover the subject of Brownian Bridges. So I am trying to learn the proper way of generating paths when you have an arithmetic Asian option which has an ...
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How to calculate spot rate for maturity which does not have a zero-coupon bond?

How do I calculate zero-coupon yields for a maturity which does not have an equivalent zero-coupon bond? For instance, let's say we have this spot rate curve: t0.5=1% t1=2% And a bond which has a ...
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Evaluating principal and interest at different points in time [closed]

Consider simple interest and suppose we have a certain principal and interest at t=7 months, we want to find the value of that amount of money when t=3 months. I would like to do it in two different ...
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1 answer
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Can you use the Svensson model to fit a smoothed curve for yields on coupon paying bonds rather than spot rates?

i've been struggling to find an answer to this question online, I know most applications of the model are used on zero (aka spot) rates. But could you use yields from a sovereign yield curve (i.e ...
1 vote
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using moment matching to price spread options (multi asset)

this is my very first question in this forum, after having been a greed follower since a few years, feeling that I need your help in a topic. I need to price a multi asset option that has the ...
1 vote
1 answer
424 views

What's the interpretation of the probability of default implied from CDS spreads?

What's the time horizon of the probability of default implied from a CDS spread? Given CDS = PD*(1-R), if I use a 5yr CDS spread in the formula, is the implied PD the probability that that name ...
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How to Show an Arbitrage Opportunity Exist From a Market-Linked CD?

A bank issues a market-linked CD that guarantees the original principal with an interest at an effective annual rate of 2%, plus 70% of the percentage gain on the ABC Inc. non-dividend-paying stock ...
5 votes
1 answer
807 views

What is "signal" in quant investing?

Can somebody explain (and give examples) of "signals" in quant investing? What are those? What does this word mean?
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Hedging costs and BS-price

I'm looking at the chapter, "The Greek Letters" in Hull's book (Options and derivatives...) and in particular the paragraph "Dynamic Aspects of Delta Hedging". He demonstrates two ...
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1 answer
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How to calculate basis swap fair spread Using Quantlib 'floatfloatswap'?

I am trying to calculate a single currency basis swap by using the Quantlib floatfloatswap function. Please advice if I am doing wrongly. ...
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3 votes
5 answers
807 views

bank issuing structured products

"The investment banks supplying structured products were effectively buying options from investors" How to understand this quote from this source? I would think the investors are usually had (long) ...
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1 answer
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What is the R code for estimating copula parameters of BB1 with dim=2? And what's the code for gof test of BB1?

Kindly assist with R code for BB1 copula. Text books and research articles provide codes for clayton, gumbel, frank, normal and t copulas. However, I can't find code for BB1, the copula family ...
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1 answer
102 views

What model to price interest rate option if we have views on trend of forward interest rate?

Apart from classical Black-Scholes model which assumes that forward interest rate is (log) normally distributed, what kind of pricing tools can we use as a buy side? We have good estimation on how ...
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1 answer
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Forward Contract Price on Zero Coupon Bond

I'm trying to calculate the forward contract on a zero coupon bond where the forward contract matures at t=4. The zero coupon bond matures at t=10 and has a face value of 100. The price of that bond ...
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0 answers
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Information asymmetry models

I am searching for some textbook in financial mathematics that presents information asymmetry models (maybe more advanced models), so as to make some practice. Does anbody know such a book?
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Asset prices Boom,Bust and Recovery cycles

Is there any systematic way to detect the Boom, bust and Recovery cycles in Asset Prices ? Are there any good references about the Topic ? Thanks in advance.
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4 votes
1 answer
135 views

Exposure/Factor Analysis on a loan portfolio?

I am working on performing factor analysis on a loan portfolio. This is my understanding so far, and I was hoping that some of the smart folks here might be able to chime and guide me through this ...
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3 votes
3 answers
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Can an individual hedge inflation that exceeds CPI-U?

Is there a way for an individual (i.e., excluding institutional tools and using only consumer products) in the U.S. to hedge inflation over the long term greater than that measured by CPI-U? ...
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0 answers
281 views

Credit default swap replication by corporative bonds

I want to get literature or information related with the topic of CDS replication for those counterparties that do not hold. But that have traded bonds (with different degree of liquidity). What could ...
2 votes
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143 views

Pre-requisites for Finance Mathematics

I would like to pursue research in the areas of Financial Mathematics. Hoping to look into Operations Research, Risk Management and Stochastic Modeling. Anyone got some suggestions on useful resources ...
1 vote
2 answers
134 views

Paper recommendation with examples

Could you please advise me some papers/working documents with applications mainly focused on Fixed Income/Financial Engineering (Numerical Methods) as the one in the link below? Preferably on Matlab, ...
3 votes
1 answer
251 views

To what extent are Lévy processes used in financial engineering?

I know that (time changed) Lévy processes are actively researched in the academic world, including tools such as minimal entropy martingale pricing measures and fast Fourier transforms. To what extent ...
3 votes
1 answer
628 views

condition of risk neutral pricing

The theorem says if $U$ is a numeraire and let $\mathbb{Q}^U$ be the corresponding measure. Then for every tradable asset $S$, the relative price $S_t/U_t$ is a martingale under $\mathbb{Q}^U$. But I ...
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1 answer
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continuously compound forward rate formula

I want to derive the continuously compound forward rate formula according to FRA. fixed rate is $K$ and notional is $N$, $\delta=T_1-T_0$. $t<T_0<T_1$, the FRA holder at time $T_1$ need to pay ...
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2 votes
2 answers
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Utility functions, are they used in the real world by hedge funds, banks, etc?

I am starting to study mathematical finance. When I studied microeconomics and macroeconomics I studied utility functions, but I never saw how they are in the real world. I do not see how they can be ...
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Pricing methods in the real world when there is more than one free arbitrage price

Perhaps this question sounds trivial and obvious, but I am starting to study this new field. When we are in a complete market without arbitrage opportunities there is only one risk-neutral martingale ...
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How to Calculate Stock Return with Stock Bonuses and Rights?

I would appreciate if you could let me know how to calculate stock return for a given company when the company issued bonus shares and rights. If company just paid dividends, stock return would be: ...
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4 answers
1k views

Determine the right order size with market making strategy

In a market market strategy https://web.stanford.edu/class/msande448/2017/Final/Reports/gr4.pdf, how can we determine the right order size? Assuming I use a market making strategy and on a specific ...
1 vote
1 answer
478 views

Negative VaR equivalent Volatility (VEV) and its meaning?

Can a VaR equivalent Volatility (VEV) as defined by KID/PRIIPS law be negative and what does it mean if it has a negative value?
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European Call Option Modelling under 2 factor Hull White interest rates

I have modelled the yield curve through the two factor Hull White Model. Now I want to implement in Matlab the price development of a ATM-Call-Option (European). Has someone an idea how to combine ...
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3 votes
2 answers
10k views

Funded equity collars and margin loans

There is an article in the Financial Times today concerning equity funded collars [1]. The equity collar structure is used by a counterparty $A$ which wants to build up a position in a stock $S_t$. ...
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1 answer
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What is martingle measure with risk free asset in numeraire or stock price in numeraire [closed]

What is martingle measure with risk free asset in numeraire or stock price in numeraire
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1 vote
1 answer
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Modelling interest rate

Hi I want to model two stochastic integrals in Matlab, which is given by $ x(t) = x(s) e^{-a(t-s)} + \sigma \int_s^t e^{-a(t-u)} dW_1(u)$ $y(t) = y(s) e^{-b(t-s)} + \eta \int_s^t e^{-b(t-u)} dW_2(...
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1 answer
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CAPM and factor modeling: Machine learning

Excuse my ignorance with this I am still trying to wrap my head around the interpretation of the Fama French 1992 factor paper. I come from a computer science background but I am interested in ...
2 votes
1 answer
254 views

eurodollar future

I just found out about eurdollar futures and I am confused. A eurodollar future contract is defined as a cash settled future based on a Eurodollar Time Deposit having a principal value of USD $1,000,...
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Is there a mathematical way of showing the slowing down of economic markets?

I'm currently taking a introductory mathematical finance course in university and recently on the news (BBC, etc), it states that the economic markets are shown to be slowing down for the next few ...
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stochastic modeling and machine learning [closed]

For a little bit of background, I've been studying stochastic calc and a few of it's applications (currently I'm still at the early stages of learning applications) and have been curious as to whether ...
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1 answer
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python: How use the S&P 500 index to predict japan stock,namely timezone issue

I want to use American stock index, such as S&P 500 index(open, close...) to predict japan stock daily close price or other with machine learning. I found that there is timezone between japan and ...
1 vote
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Can someone suggest some good reads on OAS and Spread Duration?

I have been through the CITI Yield book paper and the OAS by Barclays. Is there is anything else that tackles this topic? Any help would be much appreciated. Cheers!
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Why is shorting (oil) futures a bit of a negative gamma trade?

From this article, http://www.zerohedge.com/news/2017-01-22/oil-speculators-have-never-been-long, "I get what you're saying about the price risk which is always the danger of shorting crude oil it's ...
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1 answer
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How to price a quanto basket option?

EDIT: Maybe there is no way to get explicit solutions for basket options (maybe the Black-Scholes differential equation can't be solved directly ??). Q3: How do you price and hedge ( S1(T) + S2(T) - ...
3 votes
1 answer
719 views

Step by Step Guide to Learn Quantitative Finance [closed]

Can some one help in creating step by step guide to learn Quantitative Finance? The suggestions should be in the lines of 1- Which Maths topics needs to be learn 1st 2- Which Maths Books or ...
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1 answer
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For discrete models, the existence of strong arbitrage is equivalent to a particular self-financing strategy

Background Information: This question is from Lectures on Financial Mathematics: Discrete Asset Pricing. Question: Prove that for discrete models, the existence of a strong arbitrage is also ...
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1 vote
1 answer
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All martingale measures price the attainable claim equally

Background Information: This question is from Lectures on Financial Mathematics: Discrete Asset Pricing. Theorem 3.2 First Fundamental Theorem of Asset Pricing - Suppose $\nu$ is any measure such that ...
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2 votes
1 answer
203 views

Where can I find ideas for strategies? [closed]

Every book I read refers me to many other books, there is practically no way I can read all this text in my life time. Once and for all, where is the best place to fish for ideas?
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