1
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1answer
79 views

Should a strategy backtested against three years of tick data continue to produce positive results?

Let's say we have a Binary Options 5-minute trading strategy that relies on multiple indicators and exploits price reversals in currency pairs. Now let's say there is a combination of inputs for the ...
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1answer
204 views

Long Forward Rate Agreement, short Eurodollar futures

For this question If you are long a FRA and short a ED future with the same fixing dates, do you have positive convexity or negative convexity? The answer is positive convexity, because a ...
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1answer
47 views

Value at risk in dollars vs. log returns

I have a quick question about this remark in Tsay's book "Analysis of Financial Time Series" (3rd edition). He says that $$ \text{dollar VaR} = \text{Value} \times \text{log return VaR} $$ and that ...
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1answer
67 views

PPPN: premium with real market data

A few days ago, I posted a question about PPPN's (partially principal protected notes), which can be found here:PPPN: participation rate, stocks and premium. A PPPN in short is a structured product ...
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1answer
86 views

How to get real interest rate from Nominal spot rates?

I have the nominal spot rates. Based on the Fisher equation , how to get the real interest rate ($r$) and the "expected inflation" ($\pi$) ?
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2answers
77 views

zero coupon problem calculus

I encounter a problem: do we have the following equality : $B(0,T_{i})e^{\int_{0}^{t}r_{s}ds}=B(t,T_{i})$ and if yes why because I am stuck with this ... I try to use that : $B(t,T_{i}) = B(0,T_{i})e^...
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2answers
102 views

Analysis of exercising a call option early

Most options traders sell their call options early instead of exercising them, as you would make a bigger profit this way due to being able to salvage some remaining extrinsic value. For example: ...
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2answers
106 views

Stochastic process theory question

*S follows a process $dS= mSdt + oSdz$ where m and o are constant. What is the probability followed by $ Y=(Se)^{(r-t)} $. If S follows a process $ dS= k (b-S) dt + oSdz $ where k, b, o are ...
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1answer
410 views

How to calculate daily risk free interest rates

I'm working on an assignment in which I need to calculate excess return for six stocks plus the S&P 500. I have computed daily logarithmic returns for every stock and for the market, I now need to ...
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1answer
62 views

How to estimate the price of a European call when the underlying is not tradable?

Assume you have a vanilla call on an underlying $S$ with strike price $K$ and expiry at time $T$. Let's say that $S$ follows a GBM with volatility $\sigma$. In general, one would use the Black-...
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1answer
73 views

MSRV estimation in R

What are the R packages that let you estimate Multi Scale Realized Volatility (MSRV)? So far I've only found highfrequency (which comes with Realized Kernel as well), but from what I understand it ...
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1answer
43 views

Purpose of ISOs

Why was ISO (Intermarket Sweep Order) introduced? I read that it was introduced to help fill large orders. Some explanation is here: http://tabbforum.com/opinions/why-hfts-have-an-advantage-part-3-...
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1answer
30 views

A citizen's life as an investment project (from the State's PoV)

An average citizen's life can be seen as an investment project: the State starts investing into prenatal care, the child's education etc., a young man starts making money and paying taxes (breaks even ...
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2answers
131 views

Which one is best Performance evaluation measures?

I want to compare the performance of various volatility models like GARCH, eGARCH, and gjrGARCH from actual volatility(computed using high frequency data). I found 3 common performance evaluation ...
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1answer
78 views

Implied volatility as price transform

Implied volatility The way I understand it, traders often think of implied volatility as a transformed price. So in a way, the Black Scholes model is considered a 'model-free' blackbox that takes a ...
1
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1answer
57 views

Computing the expected stock growth rate

I need to compute the expected growth rate of a stock given the data: financial leverage 2.0 return on assets 16% dividend payout ratio 60% I don't know how to compute it nor where to start, could ...
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3answers
114 views

How to get to this answer on Macauley duration?

Can you explain why the answer to the following question is approximately 4.5%: An investor buys a bond that has a Macaulay duration of 3.0 and a yield to maturity of 4.5%. The investor plans to ...
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3answers
258 views

Best known performance of stock prediction algorithms

I asked this question here and was directed to answer it on this stack exchange. My question is very simple. What is the best [known] performance of a stock prediction algorithm? I've seen papers ...
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1answer
65 views

Binomial tree notation

Can someone clarify for me the notation of the nodes in a binomial tree with more than 1 step? Is this notation correct?
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1answer
83 views

Call and Put Prices Equal at Forward Price - Why?

Consider a European call and put with values $C_t$ and $P_t$, respectively, under the Black-Scholes model. By put-call parity, $$ C_t - P_t = S_t - Ke^{-r(T-t)} $$ for expiration time $T$. Note if $...
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2answers
128 views

difference between caplet and call

I wanted to know the difference between a caplet and a call. In my course (Interest rate models and curves) , we said that a caplet is a call option. Is it really true? Thanks
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3answers
109 views

How is fundamental data taken into account when modelling stock prices with a Geometric Brownian Motion?

I have a basic understanding of the principles behind Geometric Brownian Motion and how it can be used to model stock prices, however I am confused as to how it is used in practice. In particular, how ...
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1answer
70 views

Where can I find Value at Risk & Expected shortfall for ETF's?

I'm struggling to find VaR & ES data for ETF's on websites such yahoo finance & Morningstar. Where can I find this data? Thanks,
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1answer
112 views

How to price touch options using quantlib?

I am new to quantlib and I want use it to to price a touch option (single/double). I searched on google for example code but I could not find anything. Hence, I am ...
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1answer
45 views

Stressing the going up of LIBOR - Which balance sheet variables to stress?

Analysts expect the LIBOR to rise in the next two years. Hence, all companies that have foreign currency loans will face problems. I am preparing a study on this topic, but data is an extreme issue. ...
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1answer
209 views

Swap Rate vs Par Rate

If we calculate the par rate for n periods, why does the nth swap rate equal the par rate? A mathematical formulation would be helpful apart from an intuitive answer. Edit: Example:- A 2 year ...
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4answers
129 views

What is wrong with this argument?

Futures trading in stock index gives leverage. Leverage cuts both ways. It can give you huge pct gains or wipe you out. Typically stock index futures for the major markets have limited daily pct ...
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1answer
98 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 ...
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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 ...
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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 ...
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2answers
264 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 ...
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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
61 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 ...
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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
94 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 ...
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1answer
48 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
62 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
67 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 ...
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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) ...
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1answer
34 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
93 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 ...
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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
78 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
135 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. ...
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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 ...
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3answers
150 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
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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 ...

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