1
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1answer
104 views

Sharpe Ratio versus Cumulative Returns

I was asked whether Sharpe Ratio was a better measure than Cumulative Returns, in the context of hedge funds. To me, personally, Sharpe Ratio is a more important measure. By definition, it tells us ...
1
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2answers
133 views

How are we underestimating liquidity risk?

Malz explains that marking to model can underestimate liquidity risk. From his example, I don't see it. I can see us underestimating market risk because we are using an incorrect price. Why does a ...
1
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1answer
106 views

Why is Vega meaningful only for options which have single-signed gammas

I have been reading Wilmott Frequently Asked Question book and this was mentioned that Vega is not useful when measuring risk for options that have gammas changing signs such as Digital option or ...
1
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2answers
268 views

Calculating log-returns across multiple securities and time

I've been getting very confused on the topic of calculating returns. To get cumulative returns in time, log-returns are used, but apparently log-returns aren't used across different securities at a ...
1
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2answers
126 views

how negative rates (mr and rf) affect CAPM

I don't understand how the negative rates factor into this and what it means in the market ...
1
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1answer
62 views

Immunization: Whats the best way to hedge my short interest rate exposure?

What's the best way to hedge a portfolio against a rise in rates? Portfolio: long bonds different maturities. a) parallel shift b) convex shift (short and long term rise more than mid term) How is ...
1
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2answers
116 views

Does it make sense to calculate Fama-French betas of a single stock?

Or should Fama-French only be applied to portfolios?
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2answers
95 views

Credit exposure of a long CDS

According to Gregory, the exposure for. the long party of a credit default swap increases in its early years and then skyrockets when there is a credit event of the reference entity. I would have ...
1
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1answer
49 views

Why can't we use Finite Differences with non-parabolic PDEs?

The title of the question says it all. Why can we only apply the method to parabolic PDEs like the heat equation, and not to ordinary PDEs?
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1answer
63 views

What is the correlation of stock options?

I want to calculate the VaR of two correlated option positions, and I know the correlation between stock price returns. I want to separately calculate $Var_1$,$Var_2$ for option 1 and 2, and then use $...
1
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1answer
69 views

What is this ratio: expected returns on stock divided by risk free rate?

So this ratio has come up in some work I'm doing and I can't seem to figure out if it is attested in the literature. Here's the setting: Given a risk free rate $r(t)$ and a stock price which follows ...
1
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1answer
31 views

Modeling credit utilization and stock market growth

I relatively new to financial mathematics but I am wondering if at all there exists a relationship between credit utilization (the rate at which the public accesses credit from financial institutions) ...
1
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1answer
35 views

Adjusting index betas for spread DV01

If you have an index and have measured its beta with respect to the overall market, how would you go about adjusting it against spread dv01 and why would you want this number?
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2answers
95 views

Sharpe Ratio for strategies with different rebalancing period

Strategies published in journal papers like SMB, HML, UMD have annualized sharpe ratios around 0.5. These long-short portfolios are formed with monthly rebalance. People who backtest some daily ...
1
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2answers
91 views

Portfolio Strategies Project

My first assignment for my Quantitative Finance Masters is to design a portfolio that theoretically makes money under any market movement. I am also asked to state all necessary assumptions. What I'...
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2answers
79 views

does there need to be risk-neutral agents in the market to enforce risk-neutral pricing?

I'm trying to understand a fundamental link between mathematical finance and economics. I understand that risk-neutral pricing is free of arbitrage with replicating portfolio. Does risk-neutral ...
1
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3answers
136 views

Is variance additive only under Log-returns?

Can't seem to figure this one out by thinking it through. Let's say that the simple return $R_t=P_{t+1}/P_t -1$ is assumed to be $R_t \sim iid N(0,\sigma^2)$. Thus, a two period return would be $(1+...
1
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2answers
52 views

How to arrive at expectation of negative utility function via Taylor series expansion

I'm attempting to follow an author's steps in an argument and having trouble seeing how Taylor series expansion can be applied to give the stated result. The scenario is as follows. The mid price ...
1
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1answer
79 views

Investor choice problem

Guys I'm stuck with a problem... Consider the portfolio choice problem of a risk-averse individual with a strictly increasing utility function. There is a single risky asset, and a risk free asset. ...
1
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1answer
35 views

Expected value of bivariate lognormal spread

I don´t know how to derivate the Expected Value for the following problem: Suppose that the random vector (S_1, S_2) has a bivariate lognormal distribution with ...
1
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3answers
151 views

What is the difference between market equilibrium and market efficiency? equilibrium implies efficiency?

The market efficiency hypothesis means securities are traded at their fair price. If the market is at the equilibrium, does it mean the market is efficiency? If equilibrium cannot implies efficiency,...
1
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1answer
20 views

Where do Over-allotment (Greenshoe) option shares come from?

I'm just wondering, if following an IPO the share price goes up and the underwriter calls the option, where do those extra 15% shares come from? Does the company have to issue more stock to cover the ...
1
vote
1answer
65 views

How can I compare two mutual funds' performance with a sparse set of data?

I want to compare the performance of two mutual funds. The only data I have is annual returns for the past 7 years. So I have 7 observations for Fund 1 and 7 observations for Fund 2. In addition, I ...
1
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3answers
219 views

Numerical Solution to BS PDE - Digital Option

Here is a relatively simple question about PDE's pricing. Assume that we are within the BS framework and moreover that interest rate is zero. The price $V(t,S_t)$ of the digital is known to be $\Phi(...
1
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1answer
314 views

predict next day's close price using hmm

I am reading this paper(Stock market forecasting using hidden Markov model: a new approach) and get confused about how they predict the next day's close price. Below is what the authors say about how ...
1
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1answer
177 views

What is the logic behind this backtesting code in R

I am new to R and I have found this simple backtesting code and can you explain me what is happening here. ...
1
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2answers
143 views

Linear combination of geometric Brownian motion

Let $X_t= e^{\left(\mu-\sigma^2/2 \right)t+\sigma W_t}$ be a geometric Brownian motion with drift $\mu$ and volatility $\sigma$. I am trying to find an analytical solution to $$\mathbb{E}\left[ \max(...
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2answers
375 views

Why is the value of debt modeled as a short put option in Merton's model?

Can someone give me an intuitive understanding of why the Merton model models the value of the debt from the lender's point of view as a short put with a risk free bond? I'm not well versed in this ...
1
vote
1answer
55 views

Understanding portfolio weights and purchasing stock in modern portfolio theory

Recently I've been learning about the markowitz algorithm. It's pretty interesting, but I'm curious how we apply this in practice. Lets say I have some optimal portfolio: $R_p = x_aR_a + x_bR_b$ ...
1
vote
1answer
94 views

Quantlib FRA with shifted start date

I'm new to quantlib. I am trying to construct a PiecewiseYieldCurve. I been looking at the implementation of FRA. It seems that the start date of the FRA must be an integer number of month from the ...
1
vote
1answer
115 views

Vega in Heston / Bates Model

Just a question regarding "convention": Is the Vega in Heston / Bates model the sensitivity with regards to $\sqrt v_0$ or a term of $\sqrt v_0$ and $\theta$ (Long term variance)? Regards
1
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1answer
92 views

Is the Black-Scholes model price a bijection on the interval of static arbitrage free prices

Consider some stock with observed price $S$ and a call option on the stock with value $C$, time to maturity $T$ and strike $K$. Assume there is a constant, continuously compounded interest rate $r$. ...
1
vote
2answers
174 views

Solving the Bootstrapping equation when matrix is non-square

I am trying to construct a Zero Coupon Yield curve for US Government Bonds from market data (coupons, face values, prices, months to maturity) via Bootstrapping. However, I am not too sure how I would ...
1
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2answers
390 views

Fractals indicator (Bill Williams) R Quantstrat

Hi has anyone seen or know how to create an indicator for fractals in quantstrat? fractals explained http://forex-indicators.net/bill-williams/fractals example code (only interested in type 1 ...
1
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2answers
320 views

Aggregate interactive brokers data in matlab

I am using matlab and interactive brokers API. I am getting real time data using tickerID = ib.realtime({ct},'233',@(varargin)ibEventRealTimeData(varargin{:})); where ib is the interface to ...
1
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1answer
82 views

Tradeable => Satisfies pricing equation?

In Wilmott's third volume, on p. 857, he tries giving an insight into the market price of risk by showing what it is for traded assets. For this he constructs a portfolio of two different options: ...
1
vote
1answer
111 views

Transaction costs on option trades

It looks like the commissions alone for a non-index option trade is around 2-5%. For example, a BAC June ATM Call is currently trading at \$0.20; Interactive Brokers charges $0.7 per contract, which ...
1
vote
1answer
96 views

Stochastic calculus: what am I doing wrong?

it is just the computation of a second moment but however is creating debate !!... Can someone spot the error?
1
vote
3answers
999 views

Difference between ito process, brownian motion and random walk

Can someone explain to a non-math person (myself) what is the difference between these three? If they are so different that a comparison does not even make sense, please point it out. 1.Ito process 2....
1
vote
1answer
86 views

Pie-chart (or alternative) representation with negative values/liabilities

I'd like to represent graphically/visually a fund/portfolio by something that resembles a pie chart. But... the fund/portfolio contains things that have negative value (think of liabilities such as: ...
1
vote
1answer
124 views

Option Pricing under Jump Diffusion Models

I was wondering what the overall approach/intuition behind how to price options under Jump Diffusion Models. My understanding is under Diffusion models such as Geometric Brownian Motion (Black Sholes),...
1
vote
1answer
802 views

Negative time value european options

I have a basic question for which I feel like I should have found the answer by googling it, but I didn't get a definitive answer, so here I am: Can the time value for a plain vanilla (European) ...
1
vote
1answer
388 views

Zero coupon bond pricing under Extended Hull & White

How do you price zero coupon bond in extended Hull & White model by solving the Bond Pricing Equation??
1
vote
2answers
154 views

Buying OTM puts and then selling stock

What is to stop someone from first buying a bunch of OTM puts and then selling short enough stock to make the puts go up high enough to make a profit? Or conversely, buying OTM calls and then buying a ...
1
vote
1answer
70 views

Delta derivation from the expectation

I'm trying to understand the following transformation leading to Delta $\frac{dC}{dx} = e^{-r\tau} \mathbb{E}[ \frac{\partial}{\partial x}\text{max}(xY-K,0)] = e^{-r\tau} \mathbb{E}[Y \textbf{1}(xY&...
1
vote
2answers
148 views

Delta and gamma neutral

A financial institution currently has a portfolio with delta of 450 and gamma of 6,000. A traded option is available with a delta of 0.6 and a gamma of 1.5. How could the portfolio be made both delta ...
1
vote
1answer
311 views

Calculate CVaR for a portfolio

I would like to calculate the Conditional Value at Risk for a portfolio. To be honest, I'm trying for a few days to find an example to calculate for an entire portfolio, not just for one security and ...
1
vote
1answer
314 views

Difference between Risk avoidance and Risk transfer

I was hoping some could explain the two terms namely, risk avoidance and risk transfer. Also, can a risk be avoided by transferring it?
1
vote
1answer
99 views

Determining swaption prices using the characteristic function

There exist multiple techniques to determine call option prices that make use of the characteristic function. These techniques boil down to some integral expression of the option price in terms of the ...
1
vote
1answer
117 views

Different ways to identify a co-integrated series?

I have been reading and trying out stuff until I am totally confused and back to square one. Could someone please explain the difference between the two methods suggested below? Suppose I have 10 ...

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