Questions tagged [finance]

Finance describes the management, creation, and study of money, banking, credit, investments, assets and liabilities as well as the systems to handle these instruments.

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What are the assumptions in the first-stage of Fama-MacBeth (1973)?

According to the CAPM, the expected return of asset $i$ is: $E(Z_i) = \beta_{im} E(Z_m)$ where $Z_m$ is the excess return on the market portfolio, and $Z_i$ is the excess return of asset $i$ over ...
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Mean Variance Investment problem

I attach a part of a paper explaining how the weights of a market portfolio are derived. I do not understand how equation 5 has been derived and, in particular, where the zero beta portfolio's return ...
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1answer
477 views

Fama French (2000): Characteristics, Covariances and Average Returns - intuition behind sorting of the returns

I am in the middle of doing my graduate programme in Accounting and Finance. Right now, I am taking a ph.D level course in Asset Pricing, wherein our first assignment/task is to recreate some tables ...
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1answer
148 views

Fama and French 1997 Cost of Equity

Dear Quantitative Finance Members, I was wondering if you can clarify me the following issue. I am trying to estimate the cost of equity following "Industry costs of equity" (Fama and French, 1997). ...
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2answers
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Predict Futures Prices based on weather + agricultural data

I’m working in the area of Data Mining and have come up with the following idea for my Masters project.The text may not be the best structured but it’s a working draft to give you a quick idea. ...
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3answers
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Resources for finding quantitative finance examples using excel, VBA and access

I am seeking to increase my knowledge in the quantitative finance field. I would be grateful if someone could point me to useful resource online, where I can find working examples of they types of ...
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0answers
256 views

Merton's portfolio problem with constraints

Suppose the investor can invest in a Black-Scholes market with one risky asset $S$ with drift $\alpha$ and volatility $\sigma$ and a riskless asset $B$ with a riskless rate of return $r$, and the ...
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Hasbrouck's information share

Given a cointegrated set of price series, I am trying to compute the Hasbrouck's information share, as described in page 12-13 of this article. page 7-8 of this article I have the vector error ...
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Compute the price of a derivative

Consider the payoff function \begin{align*} f(x)=\begin{cases} 3 & \text{if }x\leq 30, \\ 33-x & \text{if }30<x<35, \\ -2 & \text{if } x\geq35. \end{cases} \end{align*} How would I ...
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1answer
820 views

What is the stambaugh bias? Why is it important for predictability regressions?

What is the Stambaugh bias? Why is it important for predictability regressions? Can anyone explain it in simple terms?
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Convergence of Spot and Futures prices

Any explanation I've found explaining why future and spot prices converge over time seem to only focus the explanation on why the spot and future price must be equal at maturity. I understand that if ...
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1answer
818 views

Finding arbitrage opportunity

Find an arbitrage opportunity in this market. Can anyone explain how to mathematically solve this exercise with for example solving a system of linear equations?
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942 views

Covariance between two stocks in a two-factor model

I am studying the Arbitrage Pricing Theory using Pairs Trading: Quantitative Methods and Analysis.In page 44 the author gives an example on how to calculate the covariance between two stocks. I will ...
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What is time-varying risk premium? Forecasting stock returns

I am trying to understand the concept 'Time-varying aggregate risk premium'. Here is an extract from a Forecasting book, written by Rapach and Zhou, "However, rational asset pricing theory posits ...
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4answers
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How do banks actually make money on mortgages [closed]

This is a bit of a subjective question and relates primarily to the UK market There are a number of banks who are lending at BOE + 1.49% (ie: 1.99 %) whilst at the same time accepting deposits paying ...
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1answer
352 views

Closed form solution of PDE of Option Price

Let $V=V(S_t,t)$ be the option price and \begin{align} V_t+\mu\,S\,V_S+\frac{1}{2}\sigma^2\,S^2\,V_{SS}=0\\ V(S_T,T)=\ln (S_T)^{2}. \end{align} My question: How can I obtain a closed form solution of ...
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1answer
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forward variances under rough bergomi

I have seen in several papers on rough volatility using the following expression for the forward variances $$ d\xi_t(u) = \xi_t(u) \eta \sqrt{2H} (u-t)^{H-1/2}dW_t $$ Can anyone explain to me how this ...
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1answer
521 views

Barrier Option from binomial tree

What is the smallest information structure that is required for using the binomial tree to calculate the price of a barrier (up-and-in) option? My gut feeling is any node below the node that reaches ...
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1answer
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Struggling with tau in Black-Litterman

According to the omega formula in B-L tau is used in the Omega estimation to determine the degree of uncertainty given to views of the investor: So, if tau is given a low value then the inverse of ...
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How do I price $P(t)=P(t,T_{n})+\sum_{i=1}^{n}[P(t,T_{i-1})-P(t,T_{i})]$?

Derive the pricing formula $$P(t)=P(t,T_{n})+\sum_{i=1}^{n}[P(t,T_{i-1})-P(t,T_{i})]$$directly, by constructing a self-financing portfolio which replicates the cash flow of the floating rate bond. $P(...
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970 views

Fama and French data: Replicating research

Is there any data out there on the Fama and French (1993) paper? I am not talking about their factor data available on their website, I am interested in reproducing their factor calculations. I am ...
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1answer
275 views

Linear-Boundary Crossing Problem for Brownian Motion

This is a question I came across while reading: $W = (W_t)_{t\geq{0}}$ is a standard BM. Let $\mu\in \mathbb{R}$, and let $\tau_{a}^{\mu}$ = $\inf(t>0;W_t = a + \mu{t})$ be the first passage time ...
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1answer
320 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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2answers
795 views

Relationship between diversification and standard deviation

Explain the relationship between diversification and standard deviation: There are two general principles that should govern investment behaviors in a world of efficient markets, where one has the ...
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Why is there inconsistency in WACC vs unlevered return?

To evaluate an enterprise we can discount free cash flow by either the unlevered required rate of return or the WACC. With Tax we have: $WACC=R_e \frac{E}{E+D}+R_f\frac{D}{E+D}(1-t)$ where $R_e$ is ...
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1answer
508 views

Ledoit Wolf shrinkage with constant correlation prior with tawny and Riskporfolios

I am trying to use R to perform the shrinkage of covariance matrix towards constant correlation as defined in 'Honey, I Shrunk the Sample Covariance Matrix'. I see there are two packages where this ...
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1answer
3k views

Risk Free Rate vs LIBOR

Theoretically, in pricing derivatives, most textbooks refer to the risk-free rate. What is obtainable in practice? The risk-free rate or the LIBOR rate?
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125 views

Computing $\gamma$ and $\mu$ at the efficient frontier

Consider the condition which the weights of any portfolio belonging to the efficient frontier satisfy: \begin{equation} \gamma\boldsymbol{wC} = \boldsymbol{m} - \mu\boldsymbol{u}\end{equation} ...
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1answer
138 views

Optimal Choice of exceeding time

Suppose you hold a share from company $Z$ whose vaue at time $t$ is $S_0+\sigma B_t$ where $B_t$ is Brownian Motion and $\sigma$ denotes some volatility. Now lets assume that company $Z$ may go ...
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1answer
196 views

How can we observe volatility smile from the market. Drawbacks of Heston Stochastic Volatility Model

Here are two questions related to implied volatilities. a) The set up here is for an European option. We can get its implied volatility smile from calibration, the question is why could we also ...
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1answer
431 views

Yahoo finance, interactive chart and historical prices are different

I am very new to the stocks. I checked the TNTE.AS stock on Yahoo Finance website. Here it provides "Interactive Chart" and "Historical Prices". But I found they are showing different values. For ...
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Which finance models have enjoyed particular success in recent years?

I am looking for a list of recent developments of models in mathematical finance. By recent, I mean this last decade. Which models have been developed and introduced during this period, being met ...
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How do I calculate the present value of a credit default swap?

I am paid 20 million every time a bond drops to a new low over a 120 month period. I need to know how to find the present value of such an arrangement if there is a continuously compound interest of 5 ...
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741 views

signal processing + finance? [closed]

I am a postgrad student doing a master in Signal Processing and I have graduated from an engineering school I was wondering if there are any jobs in finance that are opened to people having this kind ...
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2answers
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Choosing the right statistical test for Mutual Fund Performance Evaluation

How do you suggest I do this? I would like to perform a statistical test to check if: the aggregate alpha of all funds equals 0. the aggregate beta of all funds equals 1. Data Sample of 1000 mutual ...
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2answers
277 views

Can we think of Overnight Index Swaps as short-term IRS?

OIS are a series of fixed-rate cashflows discounted at the overnight rate, swapped for overnight (floating) rate. IRS are similarly discounted fixed-rate cashflows, swapped on an IBOR-floating rate. ...
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4answers
3k views

List of ISIN for Options, Swaps, Derivatives?

In pages like isin.org or openfigi you can search by an ISIN and you will get information about the share, bond, fund... However, for options , derivatives the search returns 0 results. Is there a ...
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2answers
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Why does the short rate in the Hull White model follow a normal distribution?

Consider Hull White model $dr(t)=[\theta(t)-\alpha(t)r(t)]dt+\sigma(t)dW(t)$ when we solve the SDE above we have $r(t)=e^{-\alpha t}r(0)+\frac{\theta}{\alpha}(1-e^{-\alpha t})+\sigma e^{-\alpha t}\...
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4answers
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where can i get data for foreign exchange order flow

I need data for my thesis research on liquidity of foriegn exchange for order flow (aggregated daily) per currency traded for a period over the last 10-15 years. help!!
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419 views

Pricing In Real Life vs Theory

When selling/buying vanilla call options, do one price them according to some pricing formula (i.e Black-Scholes)? Or is the only point using pricing formulas to find the implied volatility and then ...
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3answers
177 views

Parameters variation in fundraising financial model

I have created quite a large financial model in Excel with lots of input parameters which (after all calculations) have an influence on the output business indicators. Among the input parameters are ...
3
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2answers
326 views

Fama and French (market premium) factor

Currently I am using the Fama and French 3 factor model to explain the performance of mutual funds using monthly returns from 2000 to 2017. I use two market proxies: (1) RM-RF, obtained directly ...
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1answer
2k views

Why is Overnight LIBOR lower than BoE Base Rate?

According to this site, the current overnight GBP LIBOR is 0.45638%, and the Bank of England base rate is 0.5%. My understanding is that the overnight LIBOR should always be higher than the base rate,...
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1answer
396 views

Trying to replicate the Beta of Yahoo in R but am getting an answer that is way off

Yahoo calculates the Beta by using 3 years of monthly returns and using the S&P 500 as a market proxy but I cannot seem to replicate this or even get close using R. I downloaded the data from ...
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1answer
83 views

Equity Dilution Question

Prior to equity financing: Market Capitalization is $1B Current Share price: $50.00 Total Common Shares outstanding: 20,000,000 The company wants to raise 100M in equity through stock selling. I ...
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1answer
355 views

Evaluation volatility with Garch model

I want to forecast the volatility (with Garch) of a canadian stock in 5 months with daily returns. How many data do I have to collect ? Thanks.
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1answer
157 views

Cleaning of high-frequency data

In the paper "Realized kernels in practice: trades and quotes" by O. E.Bandorff-Nielsen etc. cf. https://onlinelibrary.wiley.com/doi/full/10.1111/j.1368-423X.2008.00275.x in the section dedicated to ...
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1answer
543 views

Interpretation of Fama French portfolio

I have two portfolios, one "bad" and the other "good". I construct the portfolios by taking the average monthly returns based on some criteria each year. In any given portfolio there could be between ...
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2answers
153 views

Verifying two properties of the Clayton Copula

So I'm trying to verify the first two properties of a copula for the Clayton model. The first two properties being: $C(u_1,…,u_d)$ is non-decreasing in each component, $u_i$ The $i^{th}$ marginal ...
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2answers
529 views

Why is that a risk averse consumer buys the optimum insurance when there is actuarially fair insurance?

I think I understand the fact that when marginal utilities of the same function are equal (a consequence of the actuarially fair insurance), the independent variables in it must be equal -- right? But ...

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