# Questions tagged [finance]

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### 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 ...
1k views

### 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 ...
306 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 ...
640 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 ...
401 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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### 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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### 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 ...
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 ...
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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 ...
333 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 ...
120 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 ...
577 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 ...
423 views

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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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### 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 ...
265 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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### 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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### 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 ...
103 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 ...
141 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 ...
522 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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### 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 ...
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### 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 ...
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### 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 ...
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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### 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 ...
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 ...
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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 ...
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### 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 ...
319 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 ...
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### Want to understand the links and relationship between all the risk metrics?

For Example : if Risk weighted asset (RWA) increased or decreased this month, which other risk metrics could have influenced RWA to increase or decrease. Also in different situations like, upward ...
100 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 ...
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 ...