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3
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0answers
40 views

How can I determine the value of equity linked security like this

Underlying assets are three global stock index : Eurostoxx 50, HSI, KOSPI 200 Maturity: 36 months with advanced redemption date in every 6 months if prices of indexes satisfy given conditions at each ...
1
vote
1answer
29 views

Show if Arrow price vector $\pi$ exists, then the law of one price hold

Now, the proof I have read goes like this: Take assets 1 and 2, entirely identical. By assumption there is a pricing vector, i.e. $\sum_s\pi_sd^1_s=q^1$ and $\sum_s\pi_sd^2_s=q^2$ where $d^i_j$ is ...
1
vote
1answer
66 views

When are factors returns in asset pricing and how do we construct them?

I am very certain that the temperature in New York's Central Park plays a super-significant role in stock returns, so I take its daily averages and I want to test it in factor model. Cochrane (...
2
votes
1answer
43 views

What is the intuition of a spread portfolio and how exactly is it constructed?

In a lot of papers spread portfolios are constructed, like in Harvey and Siddique (1999), Table IV, or in Fama and French (2005 from SSRN), page 15. First, why is it important to construct such ...
3
votes
3answers
383 views

Validity of CAPM

I came across some literature regarding "Framing Theory" or "Prospect Theory", and the validity of CAPM. I was wondering if you could shed some light on a few questions I have in this regard: ...
0
votes
2answers
57 views

Asset Pricing: What happens to the Risk-Free rate and the Equity Premium?

What would a standard asset pricing model predict for the risk-free rate and the equity premium, if the volatility of consumption growth fell? My gut feel is that the equity premium should fall, but ...
2
votes
2answers
115 views

The portfolio whose return is the stochastic discount factor

I am trying to construct a portfolio whose return is $a + bm_{t+1}$ where $a$ and $b$ are some constants for a certain investor. $m_{t+1}$ is the stochastic discount factor at time $t+1$. I am ...
0
votes
1answer
67 views

State Variables in a Bellman Equation

Can anyone explain to me exactly what a state variable is in a Bellman equation?? $$ V(x,y)=max\space u(c)+\beta V(x',y')$$ In some models with capital savings it's the capital $k_t$ you walk into ...
3
votes
1answer
147 views

Could someone teach me how to construct the portfolios by compute (like using R, Excel or Eviews)

Recently, I am doing my dissertation that covers asset pricing theory. The empirical test of Fama 3 factors model is an important part of this dissertation. Please let me review the fama model. Fama ...
3
votes
1answer
83 views

Is This A Viable Alternative Options Pricing Method?

i'm currently a high school student who hasn't gone past Algebra II, and thus I have minimal Calculus knowledge. I know the basics of Integration and Derivation (drop the coefficient, raise to the ...
1
vote
0answers
25 views

Arbitrage and completeness in multiperiod model?

Given a 2-period market with above stock price process along with a riskfree stock with a return of 5%, how do I determine whether the market is arbitrage-free and complete when I only have knowledge ...
0
votes
0answers
10 views

subsamples versus dummy variable approach, Fama MacBeth (1973) procedure

I am running an asset pricing test (Fama MacBeth); regressing six month ahead excess stock returns on past six month return (momentum) and a number of control variables (B/M, Size etc). I have run my ...
0
votes
2answers
38 views

CAPM - Do I use start or end of period prices?

If I use monthly price data in the standard CAPM, should I take the price at the beginning or the end of the month? What is the convention? Or does it not matter? Is there any literature that deals ...
7
votes
1answer
51 views

Why Fama and French sort on June's size data and not of some other period?

In Fama and French (1993), p. 8, I read "In June of each year $t$ from 1963 to 1991, all NYSE stocks on CRSP are ranked on size (price times shares)." Later on the same page, they write "Book-to-...
2
votes
0answers
33 views

Arrow-Debreu Equilibrium Pricing

I have this problem in asset pricing that I don't know how to solve. Here it is: Consider an economy with a complete set of Securities and $N$ states of the world Tomorrow. Assume that there are two ...
0
votes
1answer
60 views

Mathematically: How does increasing the number of assets reduce idiosyncratic risk?

As part of an Asset Pricing Module I'm currently taking, whilst looking at APT Ross (1974), we looked at how according to this model, risk originates from both systematic and idiosyncratic asset ...
1
vote
0answers
43 views

Calculating expected annual returns [closed]

An economy contains these three assets: Asset A has standard deviation of returns (per annum) of 25% and market capitalisation $600m Asset B has standard deviation of 20%, market capitalisation $...
3
votes
2answers
99 views

Derive an expression for the value of the asset as a function of time, V(t), t>=0

An investor deposits USD 300 in a bank account at time 0, reinvests all interest payments and continuously invests USD 300 per annum, until the total value of the deposits reaches USD 3312. At that ...
4
votes
2answers
149 views

Fama-Macbeth second step confusion

I am confused on how to run the second step of the Fama Macbeth (1973) two step procedure. I have monthly stock returns and monthly Fama-French factors, for around 10,000 stocks. This creates an ...
0
votes
0answers
17 views

Transaction costs estimate for investment strategy

I'm examining a strategy based on profitability. I sort UK stock into 10 portfolios based on their gross profits-to-total assets ratio. Then, I create long-short portfolios by subtracting the high ...
0
votes
0answers
27 views

commodity asset pricing

This is not a quant question but more a fundamental question. At the moment, WTI next month’s contract is trading at $29/B. My question are: Is it safe to assume delivery cost at Cushing is priced ...
8
votes
2answers
217 views

Why aren't the Fama-French 3 factors orthogonal to each other?

I am confused whether the factors in a multi-factor model should be orthogonal or not. Google searches do not give a well documented answer and I couldn't find one in our library's limited catalog ...
0
votes
1answer
87 views

Price of a Stock: What is it?

My limited understanding of stock prices is that according to theoretical arguments, the price of an asset is generally given as:$$P_{A}=E_{0}\,\sum_{t=0}^{\infty}\frac{C_{t}}{(1+r)^{t}}$$ whereby $...
2
votes
2answers
228 views

Pricing options under a specific framework

I have a specific framework in mind and I would like to value options under this framework. I am not sure whether a closed form solution exists or Monte Carlo methods would work. The framework I have ...
1
vote
0answers
31 views

How to derive what effect funding shocks have on conditional market betas? [closed]

I am unable to derive the correct result eq2 all my answers seem circular, any help would be much appreciated. It should basically end up saying that shocks that affect all securities compress betas ...
3
votes
1answer
138 views

Asset pricing - Technology

I am working a bit on this paper, which is about Long-run risk through Consumption Smoothing. In equation (8) and (9) the authors define the stochastic process for the technology as: $$Z_t = \exp(\...
7
votes
2answers
5k views

What are the main differences between discrete and continuous time models when modeling asset price dynamics?

My intuition says that both approaches, discrete time models and continuous time models will be models (i.e. approximations) of reality. Therefore it should be possible to develop useful models in ...
3
votes
0answers
20 views

Why should a factor not priced and yet is relevant to the return generating process

I am reading Elton's AFA presidential adress article here. http://people.stern.nyu.edu/eelton/working_papers/Expected_Return_Realized_Return.pdf In the paper, he is warning against using the average ...
1
vote
0answers
27 views

How to understand stock return comovement

In his book "Asset Pricing" chapter 20, Cochrane said For example, suppose that average returns were higher for stocks whose ticker symbols start later in the alphabet. (Maybe investors search ...
1
vote
1answer
30 views

Consumption Based Asset Pricing

I am working on some consumption based asset pricing models. I am modelling consumption growth in several different ways. An obvious one is to model consumption growth as an AR(1) process: $g_{t+1} = ...
5
votes
3answers
82 views

Jegadeesh and Titman 1993 Power of their test

I am reading this classic paper(http://www.business.unr.edu/faculty/liuc/files/BADM742/Jegadeesh_Titman_1993.pdf) and got confused by one of their arguments on their overlapping portfolio strategy to ...
2
votes
1answer
15 views

Distress firms and cross section returns

In George and Hwang's 2010 JFE paper, they are trying to resolve the so called distress risk and leverage puzzles. This is their explanation: This is a puzzle because high distress intensity or ...
0
votes
1answer
77 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 ...
3
votes
0answers
75 views

why many option contract price less than minimum boundary price?

I downloaded data from NSE(National Stock Exchange) website regarding closing price of European Call Option written on Index. From standard textbook, I read that option contract must satisfy $C(t) \...
4
votes
1answer
111 views

Fit linear model to higher moments of CAPM

How can one fit a linear model to the higher moments of CAPM in R? Fitting a linear model to the second moment (classical CAPM) would be ...
5
votes
1answer
153 views

Simulate (imaginary) asset prices using random numbers that follow a Frank Copula

I didn't understand how to simulate asset prices by using non normal random numbers. I am assuming that it would be incorrect to use the standard Geometric Brownian Motion, since it is based solely ...
5
votes
3answers
230 views

Bayesian estimation of asset pricing models

I am interested in Bayesian methods in the context of financial economics and quantitative finance and have been looking for research which uses Bayesian parameter estimation on asset pricing models, ...
1
vote
1answer
33 views

Intrepreting the Capital Market Line plot

I am looking at plots of the Security Market (SML) line and Capital market line (CML). The X axis is the beta for the SML and Standard deviation for CML; the y axis is labeled with excess return. ...
3
votes
1answer
80 views

According to Lo and MacKinlay (1990), momentum profits can be divided in 3 parts. What do they represent exactly?

At first, Lo and MacKinlay (When are Contrarian Profits Due to Stock Market Overreaction?, 1990) didn't do it for momentum precisely. However,Kyung-In Park and Dongcheol Kim (Sources of Momentum ...
2
votes
0answers
33 views

Budget Constraint in Duffie's book

On Page 5 of Duffie's Dynamic Asset Pricing Theory, the budget-feasible set is defined as: $$X(q,e) = {e+D^T\theta \in R_+^s:\theta \in R^N, q\theta \leq 0}$$ Compared to Kerry Back's presentation of ...
3
votes
2answers
709 views

What's the meaning of the intercept in asset pricing model?

I would like to understand the role of alpha (intercept) in the regression-based asset pricing model or $n$-factor models; one of the most famous of those one is the Fama-French 3-factor model. ...
1
vote
3answers
730 views

Is the CAPM beta equivalent to the coefficient estimate of an OLS regression?

The $\beta_i$ of an asset or portfolio is defined as its covariance with the market (which itself therefore has a beta of $\beta_m = 1$). The CAPM looks a lot like a simple linear regression model. Is ...
2
votes
1answer
1k views

How to estimate market integration parameter in Singer-Terhaar model for E(r)?

Singer-Terhaar is part of CFA II and III curriculum. It estimates risk premium for some asset, traded at some local market, as weighted average of expected premiums for the case of (1) local market, ...
1
vote
3answers
133 views

The Law of One Price in a discrete model

The following question assumes familiarity with the discrete model described in chapter 5 of Steven Roman's "Introduction to the Mathematics of Finance", 2nd edition, Springer 2012. I will not ...
1
vote
1answer
159 views

Proving there exists no arbitrage opportunities given 3 states and 2 assets

Assume there are 3 states of the world: w1, w2, and w3. Assume there are two assets: a risk-free asset returning Rf in each state, and a risky asset with Return R1 in state w1, R2 in state w2, and R3 ...
3
votes
2answers
4k views

What is the price pressure?

What is the definition of price pressure and what does it imply? In a number of paper I read that the price pressure can influence the portfolio returns; can you explain why and in which way it can ...
5
votes
1answer
346 views

How to prove the “Law of one price” theorem?

There are two subparts to Fundamental Asset Pricing theorem. The Law Of One Price (LOOP thereafter) holds if and only if there exists a state price vector. In a market in which the LOOP holds, the ...
1
vote
1answer
491 views

What is the proper discounting of PIK and non-compounding bullet loans?

This question pertains to two types of loans. Pay-in-kind (PIK) and bullet loans with quarterly payments. 1. PIK Loans A PIK loan is a loan where periodic interest is NOT paid, but added to the ...
5
votes
6answers
622 views

Semi-strong efficiency and HFT

The semi-strong efficient market hypothesis states that In semi-strong-form efficiency, it is implied that share prices adjust to publicly available new information very rapidly and in an ...
3
votes
1answer
238 views

Constant Relative Risk Aversion

The question: Consider a person with constant relative risk aversion p. (a) Suppose the person has wealth of 100,000 and faces a gamble in which he wins or loses x with equal probabilities. ...