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24 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 ...
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0answers
23 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 ...
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0answers
7 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 ...
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0answers
31 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 ...
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1answer
38 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 ...
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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 ...
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1answer
48 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 ...
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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 ...
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40 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 ...
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1answer
54 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 ...
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1answer
28 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
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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
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2answers
137 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 ...
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0answers
13 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 ...
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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 ...
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2answers
195 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
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1answer
86 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 ...
0
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1answer
62 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 ...
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2answers
225 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 ...
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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
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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 ...
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0answers
26 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 ...
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3answers
80 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
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2answers
109 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 ...
2
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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 ...
3
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0answers
72 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) ...
3
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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 = ...
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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} = ...
4
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1answer
109 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 ...
0
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1answer
76 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 ...
1
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1answer
32 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
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1answer
66 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 ...
5
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1answer
149 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 ...
2
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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 ...
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3answers
132 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
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1answer
156 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 ...
4
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1answer
323 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
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1answer
456 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 ...
3
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1answer
237 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. ...
0
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1answer
459 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. ...
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3answers
686 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
105 views

Law of large numbers necessary for APT derivation?

The question refers to the well-known Ross (1976) paper with the derivation of the Asset Pricing Theory. In the APT, the return of asset $i$ is driven by a linear factor model: $$ R_i = \alpha_i + ...
2
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1answer
94 views

Price an option whose strike price is always lower than the future price of the security

Suppose it is known that the price of a certain security after one period will be one of the $m$ values $s_1,\ldots,s_m$. What should be the cost of an option to purchase the security at time $1$ for ...
5
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3answers
213 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, ...
4
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1answer
127 views

What are the empirical limitations to testing market efficiency?

I have encountered a rather elegant argument about the limitations of empirically testing for market efficiency, involving the central point that we do not know whether a result is due to the "true ...
3
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1answer
66 views

How consequential are violations of the efficient diversification assumption of asset pricing models?

When using asset pricing models such as the CAPM or the Fama-French four factor model to determine the risk-adjusted return of a portfolio, does this strictly require efficient diversification of the ...
0
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1answer
47 views

What are the technical events that fluctuate quoted asset (e.g. forex) prices? How does it relate to the purchase of currency contracts?

This is a generic question about the quotations of assets but for the sake of reducing ambiguity, let's consider the EUR/USD exchange rate. If the answer varies for other asset classes, please note ...
5
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1answer
305 views

Proving that Absence of Arbitrage does not imply law of one price

I am trying to prove that the Absence of arbitrage statement (AOA) does not necessarily imply the law of one price (LOP). For the definitions of these concepts I am using Cochrane's book "Asset ...
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0answers
52 views

How to map shocks from VAR to news? (Academics)

I am trying to map shocks from VAR to discount-rate and cash-flows news following the paper of Campbell and Vuolteenaho (2004). It is said that news are a linear combination of shocks from VAR at ...
3
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189 views

GMM time-series regression factor model with factors that are not returns

Factor models with factors that are not returns are usually estimated and tested by cross-sectional regressions. However, there is a way to use time-series regression to estimate and test the model. ...