3
votes
1answer
238 views

Risk neutral drift vs real world

I was of the understanding that risk neutral drift was always the risk free rate. A section from Gregory's book on Credit Value Adjustment seems to say risk neutral drifts are typically estimated from ...
0
votes
2answers
106 views

Why the value of this portfolio is negative? [closed]

Let's assume I buy 1 call with strike 100 and 1 call with strike 120 I sell 2 calls with strike 110 (with same expiration) I wonder why value of this portfolio is negative at $t=0$?
1
vote
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?
1
vote
3answers
213 views

Volatility smile risk (negative effect) on dynamically hedged portfolio?

About last week you can see MSFT call & put option appears to be resembling volatility smile. And then I open trade positions on a 4 MSFT long call option contract (all 4 contract with fixed/...
2
votes
1answer
86 views

Why is my Euler discretization error increasing with number of steps?

I'm trying to see how the Euler discretization error behaves with respect to the number of steps. To do this I'm simulating a geometric brownian motion and comparing it with it's 'exact' solution. ...
0
votes
1answer
67 views

Is it OK to consider the expected return is zero for stocks when calculating VaR over a short horizon?

I want to implement the approach described in the following recipe for calculating VaR: Is there a step-by-step guide for calculating portfolio VaR using monte carlo simulations I was told that I can ...
5
votes
3answers
87 views

Jegadeesh and Titman 1993 Power of their test

I am reading this classic paper(http://www.business.unr.edu/faculty/liuc/files/BADM742/Jegadeesh_Titman_1993.pdf) and got confused by one of their arguments on their overlapping portfolio strategy to ...
1
vote
0answers
71 views

Will rolling-down-yield-curve bond strategy work if interest rates remain unchanged?

Suppose I have 2 strategies; A) Buying A One Year Bond And Holding To Maturity (Buy & Hold To Maturity) B) Buying A 3 Year Bond and Selling After One Year (Rolling Down The Yield Curve) Assume ...
1
vote
1answer
63 views

Why some exchanges enforce that you send the total quantity (fill qty + open qty) when changing the order size?

Is it to protect against overfills? Can anyone explain in simple terms?
2
votes
0answers
80 views

Trying to understand the sign of Theta

I guess this a pretty easy question to answer, but I'm not able to get the intuition despite reading the concept a couple of times. So, the Greek Theta is almost always negative, except for when an ...
3
votes
0answers
78 views

Portfolio insurance strategy with path dependence

I have the following problem. Let us assume that $S_t$, the stock price follows, geometric Brownian moation with parameters $(\mu,\sigma^2)$. We are given an amount of money $M$ and at each point in ...
4
votes
2answers
138 views

Simple question about FX carry trade

I have been reading online about the FX carry trade and how this can be profitable (in general). From my understanding, the idea is to be long (lend) the currency with higher interest rate and short (...
3
votes
1answer
49 views

optimization to maximize number of positive days

suppose I have $N$ models, with returns $r_{n,t}$ over $1,...,T$ periods ($T>>N$). I want to find weights $w_n$ for model $n \in 1,...,N$ such the final model $p$, whose returns will be $r_{p, ...
5
votes
2answers
162 views

Where do quants get historical FOMC meetings events for backtesting?

Is there any usual/best practice to fetch historical fomc meetings events online?
2
votes
1answer
90 views

Fed FOMC Target Rate annnouncement machine readable data point

Does anyone know if there is a near-realtime machine-readable feed that reflects the FOMC target rate announcement? The announcement came in today at 2 pm, but I can't find a way to download the ...
2
votes
1answer
149 views

Finding Arbitrage in two Puts

A European Put Option on a non-dividend paying stock with strike price 80 is currently priced at 8 and a put option on the same stock with strike price 90 is priced at 9. Is there an arbitrage ...
1
vote
0answers
77 views

QuantLib C++: Friendship dilemma between derived class from PiecewiseYieldCurve and Bootstrap class

I derived a class template, OISCurve<Traits,Interpolator,Bootstrap>, from ...
1
vote
1answer
38 views

Is there a de-facto standard identifier scheme for indexes?

All the big indexes have well known fairly standard ticker like names, e.g. SPX for the S&P 500. However there are huge numbers of lesser known indexes (and a huge number of variants on each). ...
1
vote
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
vote
1answer
33 views

Aggregating growth rates

I'm working on a simple forecast model that uses Cumulative Annual Growth Rate (CAGR) to project future growth, and I've run into an apparent paradox. The model includes multiple lines of business ...
0
votes
0answers
21 views

how to get the current price of a stock in quandl [duplicate]

Is there any way to find the current price of a stock as it fluctuates during the trading day. If so where can I find out how to get real time data of a stock or commodity. Thank you for your help!
0
votes
0answers
65 views

How big is the options market?

I am looking to write an intro to a document describing option pricing. Therefore it would be lovely to motivate it by how large the market is, but I cannot find any good reference. Where can I find ...
2
votes
0answers
75 views

Risk Neutral Variance Gamma

In the risk neutral version of the Variance Gamma model the stock dynamics are $S_T=S_0 e^{ (r-q+\omega)t + X(t;\sigma,\nu,\theta)}$ with $\omega=\frac{1}{\nu}ln(1-\theta \nu - \frac{\sigma^2 \nu ...
0
votes
1answer
66 views

Where am I making a mistake in my calculation of profit on a short-sale?

I am studying financial math and here is a problem and the solution from the author: Here are my calculations: The short sale is $200\cdot24.82 = 4964$. Now half of this amount will be taken for a ...
0
votes
0answers
25 views

free and reliable stock ticker API [duplicate]

I am looking for an API that will give me (somewhat real time) stock quotes for free for a website. I have heard about using yahoo finance URL download but (to the best of my knowledge) yahoo could ...
1
vote
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?
2
votes
1answer
94 views

CallableFloatingRateBond in QuantLib: just a matter of multiple inheritance?

I would like to know what are the issues related to a possible CallableFloatingRateBond class in QuantLib and to have some hints on implementation. My (very ...
0
votes
1answer
48 views

Why does the credit exposure of a forward increase with time

According to Gregory, the most obvious driving force behind credit exposure is future uncertainty. He characterizes the credit exposure of a forward contract as increasing with time; where exposure is ...
1
vote
1answer
129 views

How to calculate returns and sharpe ratio for futures?

What is the industry standard way to calculate returns, which will be used to calculate sharpe ratio for e-mini S&P500?
4
votes
1answer
61 views

Sum of two GARCH(1,1) Models

I have two GARCH(1,1) processes ($q=1,2$) $$ \sigma_{q,t} = \gamma_q + \alpha_q \, \sigma^2_{q,t-1} + \beta_q \, \epsilon^2_{q,t-1} $$ that have a constant correlation $\sigma_{12,t} = \rho \, \...
0
votes
1answer
53 views

Macaulay Duration: Duration for 2 bonds

Using Macaulay Duration, determine the duration of Bond B if Bond A and B (market value of 600 000 dollars and 400 000 dollars respectively) have a duration of 6.7 years and the duration of A is 8.5 ...
7
votes
2answers
640 views

Why linear interpolation not appropriate for volatility surface construction?

We know linear interpolation is not appropriate for constructing a surface, but why? In the book, "Foreign Exchange Option Pricing: A Practitioners Guide", the author writes: native linear ...
5
votes
1answer
203 views

Momentum - skipping the most recent month

Many momentum studies skip the most recent month when calculating momentum to account for "reversal effects." On the other hand, I've read online that some people get better results from not skipping ...
1
vote
1answer
32 views

Calculate short log return including fees

log long return is log((exitprice-fees)/entryprice) without leverage. log short return is the negative long return. So, from the above I would get short return = log(entryprice/(exitprice-fees)). ...
4
votes
1answer
56 views

Calculating portfolio weights of derivatives

A rather simple question. You have a portfolio of USD100 in cash. You now take USD10 and buy a derivative that gives you exposure of USD200 to something. What is the weighting of cash in the ...
2
votes
1answer
111 views

Probability of Stock breaching barrier

If a stock has a process: $dS(t) = sigma*dB(t)$, where $B(t)$ is a standard Brownian motion, and current stock price is $S(0)$. There is a barrier $H>S(0)$. What is the probability that the stock ...
0
votes
0answers
37 views

Relationship between yield spread and stock returns

I would like to ask the following question: Do yield spreads generally have a relationship with stock market indices like the S&P 500? If so, what kind of relationship? I have looked at numerous ...
7
votes
1answer
205 views

How does rehypothecation cause systemic risk?

I've read in many places that rehypothecation causes systemic risk (not to be confused with systematic risk), but none offer an explanation. Is this because of the daisy-chain effect that would happen ...
1
vote
0answers
57 views

Cross-sectional moments

I got a seminar topic named Forecasting risk from cross sectional moments? Could at least someone tell me what should I write about and if there is any paper that I could read. Thank you very much in ...
3
votes
1answer
113 views

A question on immunization and Macaulay duration

I am studying for the Society of Actuaries - Exam FM and encountered the following problem: Let $x$ be the face amount of the 5-year bond and let $y$ be the face amount of the 10-year bond. Since ...
1
vote
1answer
81 views

Segmented investment to yield same monthly return in each segment

Not an investment specialist, so please excuse the very basic math. Given a lump sum, I need to distribute this lump sum over (x) segments, each lasting (y) years (years can be different for each ...
0
votes
1answer
52 views

Conversion factor for bond with coupon=yield

Please illustrate that a bond with maturity N years that has coupon equal to its yield is associated with the conversion factor of 1. I do this by writing out $$\frac1{100} \left( \sum_{t=1}^N \left[ ...
1
vote
1answer
159 views

How to compute the volatility for the Merton's Model for Private firm?

After one day of research i did not figured how to compute the input volatility for PRIVATE COMPANY in order to calculate the PD. My goal is to compute the PD of each of my company in my portfolio, ...
4
votes
1answer
85 views

Why are netted positions more volatile?

According to John Gregory, "netted positions are inherently more volatile than their underlying gross positions". Given the context, I think he's talking about close-out netting and not payment ...
1
vote
1answer
113 views

Function A(t,T) in one-factor Hull-White model

I am struggling with Hull-White model now and have the following question: in the lecture notes under the link below I see how A(t,T) and B(t,T) are being derived. This requires the solution of ...
0
votes
0answers
75 views

Discrete Hedging of Options

Assume that a stock $S_t$ follows simple geometric Brownian motion. Let's say we sold option whose payoff is $f(S_T)$. Now, we are only allowed to trade 2 times in the interval [0,T]. What kind of ...
1
vote
4answers
3k views

Stressed Value at Risk vs Value at Risk

Just read some materials about SVaR. Is there only holding period that changes in comparison to VaR methodology?
0
votes
0answers
72 views

Practical Delta hedging under stochastic volatility models (e.g. SABR model)

I'm currently straggling with Delta hedging under SABR model (or other stochastic volatility models). As far as I know there are numerous Delta hedging strategies theoretically and practically such as ...
1
vote
0answers
47 views

Any idea of compound Poisson processes in betting? [closed]

Any suggestions on compound poisson processes in bets of a customer?
6
votes
2answers
179 views

Utility Theory and portfolio optimization - Proof of a lemma

I have a question on the following problem from chapter 9 of D. Luenberger, Investment Science, International Edition: (Portfolio Optimization) Suppose an investor has utility function $U$. ...

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