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Questions tagged [financial-engineering]

The tag has no usage guidance.

0
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2answers
69 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
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1answer
123 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
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1answer
111 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 ...
1
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1answer
118 views

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 ...
2
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2answers
131 views

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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0answers
51 views

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 ...
0
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1answer
63 views

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: ...
2
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4answers
231 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
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1answer
117 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?
0
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0answers
42 views

Return / yield of an ATM-Call Option on a zero coupon bond

The zero-coupon bond with unit face value and maturity S for a call option with maturity T and strike K is given by: The bond prices $P(t,T)$ and $P(t,S)$ $$\begin{aligned} ZBC(t,T,S,K) = & P(t,S) ...
1
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0answers
48 views

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 ...
2
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2answers
989 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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1answer
104 views

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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0answers
64 views

Reverse convertible note

When a bank sells a reverse convertible note, what does the bank do in order to generate the pay-off at maturity? Does the bank sell or buy put options? Thanks in advance.
1
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1answer
221 views

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(...
2
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1answer
547 views

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 ...
1
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1answer
147 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,...
0
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0answers
68 views

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 ...
2
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0answers
366 views

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 ...
-4
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1answer
235 views

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 ...
0
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0answers
33 views

How does a liquidity guarantee for Asset-Backed commercial paper used to finance a Conduit work?

A liquidity guarantee was what a lot of banks used to insure outside investors payments if an asset in a Conduit defaulted. The way they were doing it was not really dispersing the risk evenly ...
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0answers
77 views

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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0answers
127 views

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 ...
0
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1answer
311 views

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) - ...
1
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1answer
337 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 ...
0
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1answer
51 views

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 ...
1
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1answer
93 views

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 ...
2
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1answer
156 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?
0
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1answer
149 views

Show that there exists a fully invested portfolio such that the covariance between their returns is zero

Background Information: I came across this question in chapter 2 of Active portfolio Management by Grinold and Kahn. It pertains to the efficient frontier which is displayed below: Question: If $...
-3
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1answer
94 views

What is the value this “special” forward contract at maturity?

Background Information: I am not sure this is relevant: Terminal value pricing: If the derivative $X$ equals $f(S_T)$, for some $f$ then in the value of the derivative at time $t$ is equal to $V_t(...
1
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1answer
128 views

Simple simulation model of bond plus cash returns

Is there a robust way to model 'bond plus cash' simulated returns, say in Excel, for an asset allocation problem between stocks vs bond plus cash? For equity, ...
0
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1answer
59 views

If there is an inconsistent pricing strategy then by defintion we have strong arbitrage

Background Information: An Inconsistent pricing strategy is a self financing strategy $\phi$ with $V_T(\phi)= 0$ and $V_0(\phi) \neq 0$ A strong arbitrage is a self-financing strategy $\phi$ with $...
3
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1answer
206 views

How to prove we have a $\mathbb{Q}$-Brownian motion?

Background Information: This question comes from the book Financial Calculus by Baxter and Rennie. WE start with looking at the marginal of $W_T$ under $\mathbb{Q}$. We need to find the likelihood ...
0
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1answer
68 views

Do we have a Brownian motion

Background Information: The process $W = (W_t:t\geq 0)$ is a $\mathbb{P}$-Brownian motion if and only if i) $W_t$ is continuous, and $W_0 = 0$ ii) the value of $W_t$ is distributed, under $\mathbb{...
0
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1answer
151 views

Showing the discounted stock is a martingale

Background Information: This question follows from here It is tempting to write $$V_0(X) = \beta\left[\left(\frac{\beta^{-1}S_0 - S_1(d)}{S_1(u) - S_1(d)}\right)X(u) + \left(\frac{S_1(u) - \beta^{-1}...
2
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1answer
146 views

Law of One price and the Inconcistent pricing strategy

Background Information: A market satisfies the Law of One Price if every two self-financing strategies that replicate the same claim have the same initial value. An inconsistent pricing strategy is ...
1
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1answer
109 views

Formula for conditional expectation. Related to the Fundamental Theorems of Asset Pricing

Let $\lambda$ be a probability measure on $\Omega$ (finite), with filtration $\{\mathcal{F}_t\}$. Define $\nu(X) = \lambda\left(X\frac{d\nu}{d\lambda}\right)$, where $\frac{d\nu}{d\lambda}$ is a ...
0
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1answer
46 views

Verifying value of claim as an expectation

Background: We have so far taken the bond B to be deterministic for simplicity, but some reflection shows that this is not in any way necessary. Everything works out the same way with a stochastic ...
3
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3answers
273 views

How to understand nonrandom/random process in Shreve book? [closed]

I have been reading Chapter 4 of Shreve's Stochastic Calculus for Finance II. It is easy to understand the simple process, $\Delta(t)$, defined on Page 126, which is just a constant inside a given ...
2
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1answer
34 views

Compute the risk measured by the standard deviations $\sigma K_1, \sigma K_2, \sigma K_3$, does this have to do with weights?

Compute the risk measured by the standard deviations $\sigma K_1, \sigma K_2, \sigma K_3$ for each of the investment projects, where the returns $K_1, K_2$, and $K_3$ depend on the market scenario: $$...
2
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1answer
290 views

Books on financial instruments?

Can you please tell me some good books to learn in detail about all financial instruments available in the market today ?
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0answers
89 views

Need help understanding basics of cash flow engineering

I'm studying Financial Engineering, a subject I'm completely new to. I'm using Principles of Financial Engineering 3rd Edition and trying to solve the exercises ...
0
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1answer
108 views

What is some book that is complete and easy but hard enough to serve as prerequisite for asset pricing and portfolio choice theory?

What is some book that is complete and easy but hard enough to serve as prerequisite for asset pricing and portfolio choice theory by kerry back? I wonder how come a beginning graduate textbook is so ...
2
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1answer
92 views

Why there are almost no book for revenue analytic?

Why there are almost no book for revenue analytic? By revenue analytic, it is meant to be predicting the revenue of a firm in the future
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0answers
40 views

Annuities problem

First problem is like this: loan amount: 20,000,000.00 First six months: There is no payment but there are interest (grace period) Next six months: payment of 600,000.00 Since 13 month: payment of ...
1
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1answer
201 views

Financial Mathematics essay topic

I have a mathematics background and I am currently doing a Masters in Financial Mathematics. I am required to write an essay in a financial mathematics area but I have little knowledge about it since ...
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2answers
387 views

Feature Selection Effect on Deep Multi-Layer-Perceptron for Financial Applications

I am trying to build a machine learning system for financial price prediction. I am using a 3 layer MLP (a deep network) with 3 outputs (buy,hold,sell). I am using different features such as price ...
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1answer
1k views

Difference between Total Long Term Debt and Net Total Long Term Debt

What is the difference between Total Long Term Debt and Net Total Long Term Debt? Below you can see a picture revealing that they are not equal.
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1answer
486 views

Use of Girsanov's theorem in bond pricing

Assume that we want to calculate the time $t=0$ price of a bond: $B(0,T) = E_P[\exp(-\int_0^T r_s ds)]$, where $r$ is the interest rate following the SDE $dr_t=k(\theta-r_t)dt+\sigma dB_t=b(r_t)dt+\...
5
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2answers
315 views

Itô diffusion processes in finance with unknown distribution at a terminal value

In several papers it is argued that for many Itô diffusion processes, $$dX_t = a(t,X_t)dt+b(t,X_t)dB_t,$$ in mathematical finance the distribution of $X_T$ for fixed $T>0$ is unknown, which makes ...