Questions tagged [finance]

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4
votes
2answers
621 views

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 ...
4
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1answer
357 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?
4
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1answer
607 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?
4
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2answers
782 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 ...
4
votes
4answers
3k views

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 ...
4
votes
2answers
892 views

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 ...
4
votes
1answer
331 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 ...
4
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1answer
88 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 ...
4
votes
1answer
425 views

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 ...
4
votes
2answers
384 views

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(...
4
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1answer
327 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.
4
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2answers
640 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 ...
4
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2answers
883 views

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 ...
4
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1answer
262 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 ...
4
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2answers
181 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 ...
4
votes
1answer
290 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 ...
4
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2answers
114 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} ...
4
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1answer
135 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 ...
4
votes
1answer
396 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 ...
4
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0answers
115 views

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 ...
4
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0answers
685 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 ...
3
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2answers
5k views

What is the difference between pull to par and roll down in both mathematics and conceptual?

I don't really understand the difference. Shouldn't roll down and pull to par be the same technically? If a bond is trading as a discount it "increases" in value because everyday gets closer to par, ...
3
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3answers
253 views

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 ...
3
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2answers
1k views

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 ...
3
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3answers
160 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
255 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 ...
3
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1answer
38 views

Show that $\frac{\partial c(t))}{\partial \sigma^2 }>0 \text{ if and only if } S(t)<Xe^{-r(r+\frac{1}{2} \sigma^2 )(T-t)}.$

Statement: if $c(t)$ is the price of the digital cash-or-nothing call option, then direct calculation (under Black-Scholes assumptions) shows that $$\frac{\partial c(t))}{\partial \sigma^2 }>0 ...
3
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1answer
219 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 ...
3
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1answer
78 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 ...
3
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2answers
138 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 ...
3
votes
2answers
521 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 ...
3
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1answer
1k views

How to simulate stock prices with stochastic time change subordinated arithmetic Brownian Motion?

the idea is to simulate price returns thus to be normally distributed i 'am trying to use subordinated arithmetic brownian motion subordinated to time activity (volume) stock prices are following GBM ...
3
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1answer
2k views

How to get started in quant finance? [closed]

I am a programmer and I have no finance background. I am looking for advice as to how to get started in the quant finance industry. My goal would be to have solid understanding about the industry and ...
3
votes
1answer
931 views

How to choose a tangency portfolio without a risk-free rate

How do you choose an optimal portfolio from the efficient frontier if no risk-free rate is given? I know that if there exists risk-free asset, then you would combine a portfolio from the efficient ...
3
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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?
3
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1answer
141 views

Call options and portfolio of the same options worth less?

A portfolio of long positions in call options with the same maturity and strikes on different assets is worth more than a call option on a portfolio of the same assets with the same weight; i.e. $$\...
3
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1answer
353 views

Stochastic Differentials - Ito's formula for a self-financing portfolio

Suppose I have a portfolio of stocks $(S)$ and savings account ($\beta_t$) then, the value is $$V = a_t S_t + b_t \beta_t$$ and for this portfolio to be self replicating, we need by Ito's lemma $$dV ...
3
votes
1answer
198 views

Volatility updating rule using r

I'm trying to program a volatility updating rule using iteration. I start with the well know Heston-Nandi model where the returns dynamics are : with is iid standard normal randome variable, where ...
3
votes
1answer
100 views

APR and Term to Principal Repayment Schedule Approximation

Is there any established "industry standard" to obtain an approximation for the expected principal repayment schedule for a given loan amount, term in months and APR with monthly payments ? I ...
3
votes
3answers
3k views

Batch-downloading Bloomberg data into Excel

My company has Bloomberg terminal, but I've heard I shouldn't import any batch of data into Excel using BLP plugin, because it is pricey. They told me that some time ago somebody did this and they ...
3
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3answers
3k views

Step By Step method to calculating VaR using MonteCarlo Simulations

In trying to find VaR for 5 financial assets with prices over a long period of time(2000 days worth of data) how would I do the following: Carry out monte-carlo simulation in order to find a VaR ...
3
votes
2answers
309 views

How to user GARCH(p,q) to identify most volatile sector?

I would like to ask help concerning the utilization of GARCH(p,q) models to identify volatility. Suppose that I have daily closing prices of 6 financial sectors spanning several years, and I am ...
3
votes
1answer
98 views

What is the difference between a book value and a market value?

0 down vote favorite I would like to understand the following problem. A 2yr zero-coupon bond has an annual yield rate of 11% per year. A 4yr zero-coupon bond has an annual yield rate of 19% per ...
3
votes
1answer
320 views

Valuation of Cox-Ross-Rubinstein Model

We have a Cox-Ross-Rubinstein model with parameters $u$ ("up"), $d$ ("down") , $r$ (interest rate) and $q$ (equivalent martingale probability) $(q=(1+r-d)(u-d)^{-1})$ . We have a contingent claim with ...
3
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0answers
46 views

Headquarter Relocation and Stock Return - Influence of Universities

Scott Galloway states in chapter 8, The T Algorithm, in his book The Four: The Hidden DNA of Amazon, Apple, Facebook, and Google, that a successful strategy to become a "trillion dollar company" must ...
3
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0answers
150 views

How to simulate stock price with support and resistance level

I couldn't find good resources on how to simulate a stock price data sequence including some basic effects. The basis might be a Brownian motion model; but in real stock prices, there are additional ...
3
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0answers
75 views

What are your list of concept or model in standard textbooks that are always reliable to used in working?

What are your list of concept or model in standard textbooks that are always reliable to used in working? As opposed back to this: What concepts are the most dangerous ones in quantitative finance ...
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0answers
2k views

How can I convert Yahoo Ticker Symbols into ISIN Codes?

I have a list of all Yahoo Ticker Symbols and I want to convert them into ISIN Codes. I have been researching and found out that finance.yahoo in the US does not ...
3
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0answers
156 views

A doubt about Evans and Jovanovic (1989) economic model for entrepreneurs with credit constraints

[I already posted this question on the math forum of stackexchange and I was advised that I should post this question here] In Evans and Jovanovic (1989) you will find a model for entrepreneurs with ...
3
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0answers
1k views

Philips-Ouliaris test for cointegration

I'm trying to implement cointegration tests using the R urca package. I've figured out the Johansen test (ca.jo), but I'm having trouble with the Philips-Ouliaris test (ca.po). I have two questions: ...