Questions tagged [financial-engineering]
The financial-engineering tag has no usage guidance.
84
questions
0
votes
1
answer
68
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 ...
- 708
1
vote
1
answer
209
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 that ...
- 708
2
votes
1
answer
210
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?
- 123
0
votes
1
answer
181
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 $...
- 708
-3
votes
1
answer
115
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(S_t,...
- 708
1
vote
1
answer
162
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, ...
- 949
0
votes
1
answer
81
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 $...
- 708
4
votes
1
answer
740
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 ...
- 708
0
votes
1
answer
111
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{...
- 708
0
votes
1
answer
445
views
Showing the discounted stock is a martingale
Background Information:
This question follows from here
It is tempting to write $$V_0(X) = \beta\left[\left(\frac{\beta^{-1}S_0 - S_1(d)}{S_1(u) - S_1(d)}\right)X(u) + \left(\frac{S_1(u) - \beta^{-1}...
- 708
2
votes
1
answer
217
views
Law of One price and the Inconcistent pricing strategy
Background Information:
A market satisfies the Law of One Price if every two self-financing strategies that replicate the same claim have the same initial value.
An inconsistent pricing strategy is ...
- 708
1
vote
1
answer
162
views
Formula for conditional expectation. Related to the Fundamental Theorems of Asset Pricing
Let $\lambda$ be a probability measure on $\Omega$ (finite), with filtration $\{\mathcal{F}_t\}$. Define $\nu(X) = \lambda\left(X\frac{d\nu}{d\lambda}\right)$, where $\frac{d\nu}{d\lambda}$ is a ...
- 708
0
votes
1
answer
55
views
Verifying value of claim as an expectation
Background:
We have so far taken the bond B to be deterministic for simplicity, but some reflection shows that this is not in any way necessary. Everything works out the same way with a stochastic ...
- 708
3
votes
3
answers
337
views
How to understand nonrandom/random process in Shreve book? [closed]
I have been reading Chapter 4 of Shreve's Stochastic Calculus for Finance II.
It is easy to understand the simple process, $\Delta(t)$, defined on Page 126, which is just a constant inside a given ...
- 427
2
votes
1
answer
52
views
Compute the risk measured by the standard deviations $\sigma K_1, \sigma K_2, \sigma K_3$, does this have to do with weights?
Compute the risk measured by the standard deviations $\sigma K_1, \sigma K_2, \sigma K_3$ for each of the investment projects, where the returns $K_1, K_2$, and $K_3$ depend on the market scenario:
$$...
- 203
2
votes
1
answer
894
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 ?
- 23
1
vote
0
answers
120
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 ...
- 121
0
votes
1
answer
181
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 ...
- 285
2
votes
1
answer
105
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
- 285
1
vote
0
answers
46
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 ...
- 11
1
vote
1
answer
577
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 ...
- 257
1
vote
2
answers
541
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 ...
- 27
-1
votes
1
answer
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.
8
votes
1
answer
769
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+\...
- 81
6
votes
2
answers
410
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 ...
- 1,736
19
votes
6
answers
23k
views
Why non-stationary data cannot be analyzed?
Searching online, i found out that non-stationary cannot be analyzed with traditional econometric techniques as in case of non-stationarity some basic model assupmtions are not met and correct ...
- 407
3
votes
0
answers
678
views
Test for stationarity and make use of non-stationary points in financial market?
I have two questions to ask:
What are the best methods to determine stationarity in a financial market (such as stocks) using MATLAB?
What methods would you recommend to use in order to change from ...
- 407
4
votes
0
answers
585
views
Rate Distortion Minimization in a Python Clustering Algorithm
I'm attempting to solve for $\hat{k}$ clusters, such that the rate distortion is minimized, as described here, however, the answers that I am getting from my algorithm are not following the "Jump" ...
- 444
3
votes
2
answers
666
views
Where can I find exercises on building a project finance spreadsheet?
I'm looking for a set of exercises that teach how to build a project finance spreadsheet.
I accept there may be no typical project finance, but there are a lot of principles are shared in common ...
- 316
9
votes
1
answer
674
views
Quantitative before/after or financial engineering studies of a bid or ask tax?
Has anyone in the quantitative finance or financial engineering community studied the effects of a bid or ask tax with actual or simulated data?
If so, what were the quantitative results or ...
- 523
12
votes
1
answer
528
views
Fixed income modeling
I am currently working on my research paper and trying to explain a two-dimensional variable: volume and instrument of corporate debt financing.
Independent variables that I believe must be included ...
- 121
5
votes
1
answer
1k
views
Better understanding of the Datar Mathews Method - Real Option Pricing
in their paper "European Real Options: An intuitive algorithm for the Black and Scholes Formula" Datar and Mathews provide a proof in the appendix on page 50, which is not really clear to me. It's ...
- 181
11
votes
1
answer
336
views
penalizing negative skewness by linking $U(\mu)$ and $U(\Sigma)$
Consider $U_1(\mu,\Sigma)$ and $U_2(\mu,\Sigma)$, where $U_1(\mu, \cdot) = U_2(\mu, \cdot)$, $U_1(\cdot, \Sigma) = U_2(\cdot, \Sigma)$ such that
\begin{equation*}
arg\inf\limits_{\mu \in U_1(\mu, \...
- 281
13
votes
1
answer
236
views
Breaking Transactions Down into Derivatives
We were talking about merger arb in a class I had last night, and when we got do deal construction it was mentioned that the different ways can be viewed as different options. For instance a fixed ...
- 765