2
votes
0answers
54 views

Leverage and Drawdown

What are the risks of deleveraging a leveraged long/short equity portfolio when going into a drawdown at certain drawdown stops, like deleveraging by 30% when breaching a -5% drawdown, deleveraging a ...
4
votes
2answers
65 views

What does the difference between YTM of an inflation linked treasury bond and a comparable treasury bond represent?

I'm trying to understand yield to maturity of treasury bonds. For example, I have a 20 year inflation linked treasury bond which pays a inflation linked spread over a given fixed rate, and a 20 year ...
0
votes
0answers
15 views

How to set the mean matrix in fPortfolio package in R

I'm doing a mean-variance analysis of 5 ETF's and insted of using the sample mean i used a time series model to forecast it. I want to do a backtest of a tangency portfolio getting the weights with ...
1
vote
2answers
35 views

EUR issuance using forwards to hedge FX risk

Trying to think about the right way to hedge a EUR denominated issuance from FX risk only. Say I have an annual pay 20-year EUR bond and I want to hedge the FX risk but take the interest rate risk. I ...
5
votes
3answers
111 views

Can call options be priced with Least-Squares Monte Carlo?

I have been reading about Least-Squares Monte Carlo (using Longstaff & Schwartz algorithm) for option pricing. So far, I have only read examples that uses LSMC for american/bermudan PUT options ...
1
vote
0answers
44 views

Bayesian analysis in R: Probability of default, low default portfolios

I want to apply the knowledge of this paper (Bayesian estimation of probabilities of default for low default portfolios, by Dirk Tasche) in R, but I can't find the right bayesian package and functions ...
1
vote
0answers
19 views

Continous-time portfolio allocation optimization for a given consumption rate

I have the following PDE $0 = V_t - c(t)V_x - \lambda^2 V_x^2/V_{xx} + rxV_x + 1/2\lambda^2x^2V_{xx}$ where $t\mapsto c(t)$ is some given function and $r,\lambda$ are given constants. If necessary, ...
1
vote
1answer
76 views

Discount factor

Suppose we have : $r$ - zero coupon rate, constant over time, $n$ - a number of years (an integer), $\theta$ - a fraction of a year $(\theta < 1)$ , calculated with the relevant day count ...
1
vote
0answers
37 views

Intraday return and volatility figures some sense check

Some questions about intraday returns and volatility figures. It is with the objective of sense checking. Firstly, for Security A, I am calculating the five minute interval return numbers over 29500 ...
1
vote
1answer
68 views

Find the solutions of the ODE from SDE

Consider the SDE $$dS_t = rS_t dt + \sigma S_t dB_t \ \ \ \text{where} \ r \ \text{and} \ \sigma \ \text{are constants}$$ a.) Find the ODE for the function $V(x)$ such that $e^{-rt}V(S_t)$ is ...
3
votes
2answers
144 views

Understanding Quandl Futures Data

I'm interested in learning how to adjust my own futures contracts for analysis. Unfortunately my quantitative classes didn't really go into this, and I would like to learn it on my own. The methods ...
3
votes
2answers
442 views

Is it really possible to create a robust algorithmic trading strategy for intraday trading?

I'm an engineer doing academic research for my master thesis in the area of quantitative finance, basically the purpose is to study the possibility to create an intraday-trading algorithm. I've tried ...
4
votes
4answers
881 views

What to use as portfolio diversification measure?

Suppose that we have a portfolio of $n$ assets. A perfectly diversified portfolio is one in which each asset has equal weights, i.e. each asset has weight $\frac{1}{n}$. Of course this is usually not ...
4
votes
2answers
159 views

Cost of rolling futures contracts

Futures are traded on margin, so that the P&L of any open position is realized on the posted margin. To maintain a constant exposure to the future, an expiring contract needs to be rolled into a ...
1
vote
0answers
23 views

Making apriori Statements on VaR Backtests with a Garch Modelled VaR

so I want to find out, if its possible to find out for any backtest for the Value at Risk(Kupics POF or Christophersen's Markov Test), if it is possible to make apriori Statements on Testing results ( ...
2
votes
2answers
78 views

Best practice for international Fama-French analysis

First I have to admit that I have never been really good at thinking about the implications of investments in different currencies. I don't know why but it makes my head spin, this is why I am no FX ...
1
vote
0answers
82 views

FX Statistical Arbitrage Strategy [closed]

I have had experience creating stat arb strategies for equities and etfs, but haven't dabbled much into FX trading. I was wondering if anyone knew any resources online they would suggest, or could ...
1
vote
0answers
35 views

Find the PDE for a function that makes it a martingale

Given the SDE, find the PDE for the function $V(t,x)$ such that $V(t,S_t)$ is a martingale. $dS_t = \kappa(m - S_t)dt + \sigma\sqrt{S_t}dB_t$ where $\kappa$,$m$, and $\sigma$ are constants. ...
6
votes
0answers
72 views

simulating from the CIR++

I am looking at the CIR++ model which is described in interest rate models by Brigo et al, and was wondering on how to actually simulate from this model. The model reads $$r_t=x_t+\phi(t),$$ where $...
2
votes
3answers
126 views

Sensitivity of short-term vs long term options' IV

I could see that the short-term options' IV raises on earnings announcements when longer-term options' IV does not react too much. So I had this doubt, "Is the volatility of short-term options' IV ...
4
votes
2answers
112 views

How was the old VIX calculated?

Today VIX is computed based on near- and next- term options series which fall into the time period of [23, 37] days. That is what it is now, when they use SPX weekly, so they have options expiring ...
1
vote
0answers
35 views

Price compounding: Swap versus Governments Bonds

There are different rates curve to compound prices. Since the crisis, regulators tends to favor price compounding with swap curves over IR curves deduced from governments bonds (EU regulators, french ...
4
votes
1answer
76 views

Covariance of Log-Normal Variables

In Obstfeld and Rogoff (2000), formula (12) states the following: $$ W = (\frac{\phi}{\phi-1}) \frac{E\{K(L^\nu)\}}{E\{\frac{L}{P}C^{-\rho}\}} $$ where $\phi$, $\rho$ and $\nu$ are parameters, $E$ ...
1
vote
1answer
39 views

Rate of Options decay

I know "Time decay accelerates on nearing expiry". But I want to know the rate of acceleration. How curvy is the theta curve? Answers could be like, Provided IV is stable, in a 3-month contract,...
1
vote
1answer
25 views

How to value pricing and ratings? How to quantify best value? [closed]

I'm trying to define which hotel offers the best value. Let's say we have two hotels - A and B. For A, you pay $10 a night and the rating for the hotel is 9.8. For B, you pay $8 a night and the ...
3
votes
3answers
2k views

Bloomberg interest rate interpolation

I have question about the linear interpolation of interest rates. I am unable to reconcile the Bloomberg methodology for calculating risk-free rate between maturities. In theory it is a straight-line ...
3
votes
5answers
391 views

Estimate probability of limit order execution over a large time frame

I have a negligible amount of money (\$5000) that I would like to invest in a stock. I would like to buy the stock at some point in the next year, and get the lowest possible price. I would like to ...
1
vote
0answers
16 views

Why use Moody's KMV EDF for one year

If I were to use Moody's KMV proprietary database with expected default frequqncies(EDF) for sectors and countries, along with aggregations for financials and non-financials, significant banks etc: ...
10
votes
2answers
237 views

Why are futures valueless?

I understand that futures exchanges are set up in such a way that traders don't pay cash in order to assume a long position on a futures contract; they simply "enter into" the contract, essentially ...
1
vote
1answer
93 views

Monte Carlo Option Pricing: Averaging Price Per Path

In Glasserman's book, he computes the price of an option by first computing the average price over each simulated price path. Once all the paths have been simulated, the average of all the payoffs is ...
1
vote
0answers
20 views

Multi-factor APT model in practice: non-zero mean factors, observations needed and portfolios

I'm going to build a multi-factor APT model for the Swiss market starting from the work made by Chen, Roll and Ross (to which I will add and test some additional factors). I have some doubts though: ...
1
vote
3answers
42 views

Swap curve and short maturities

Consider USD Libor 3M swap curve. There are different maturities: 2d, 1m, 3m, 6m, 9m, 1y, 18m etc. The values for 3m, 6m, 9m etc. time buckets are just swap rates for swaps with floating leg equal ...
0
votes
0answers
34 views

IV of stocks vs IV of options

As for as I have seen, Implied volatility of stocks are easy to understand as there will always be a peak and fall(usually on earnings announcement dates). The magnitude differs but the wave pattern ...
1
vote
1answer
23 views

Indexes and return spreads

First and foremost thank you for reading my question, I hope all if you have a Happy Holiday this weekend. On to my question: I am completing an assignment on global sovereign bonds, I've been ...
0
votes
1answer
228 views

Calculating half life of mean reverting series with python

I am currently attempting to calculate the halflife of a mean reverting series using python programming language and the theory of the Ornstein–Uhlenbeck process. I have a series which when plotted ...
0
votes
0answers
13 views

Proving the convexity of put price [duplicate]

Prove that the price of the European put option is a convex function of the strike price in one-step binomial model. In other words, if $P_E(X)$ is the price of the European put option in one-step ...
4
votes
2answers
95 views

What is the arbitrage opportunity in this simple one-period market?

I have a single period market, and three states, and I have 3 risky assets. I assume no interest. So I have three states $\Omega=\{\omega_1,\omega_2,\omega_3\}$. All assets start with the value 1, ...
0
votes
0answers
47 views

Portfolio replication option pricing: Money market position

Why when replicating a call option, the money market position (bond, risk free investment) is negative and when replicating a call option, the money market position is positive? Please explain ...
1
vote
1answer
58 views

Put-on-call option confusion

So the question asks: Given a 3-steps Binomial Tree model with $S(0) = 50$, $U = 20%,D = 􀀀20%$, and $R = 5%$. A European call option has the strike price $X = 40$ and maturity time $T = 3$. Also, a ...
0
votes
1answer
46 views

Bilateral Counterparty risk

Why do counterparty risk pricing adjustments need be considered in a bilateral counterparty risk perspective? Thanks
1
vote
1answer
84 views

How to calculate the NPV (Net present Value) in this question? [closed]

A company pays £1,200,000 to purchase a property. The company pays £30,000 at the end of each of the next six months to renovate the property. At the end of the eighth month the company sells the ...
2
votes
1answer
91 views

How to construct a cointegrating vector using more than 2 price series in R?

I use now this code from hier Why does the following data fail my cointegration test? with slightly modification of possibility to load something directly from Dropbox file storage . ...
0
votes
1answer
83 views

Replication strategy of European call option

So the question asks: L et $S(0) = 120$ dollars, $u = 0.2$, $d = −0.1$ and $r = 0.1$. Consider a call option with strike price $X = 120$ dollars and exercise time $T = 2$. Find the option price and ...
0
votes
0answers
34 views

Connecting Call price computed discretely to call price computed under continuous time case

I want to connect the call premiums calculated discretely via the binomial pricing method to the Black-Scholes-Merton formula for the call premium which applies to continuous time case. The framework ...
1
vote
1answer
44 views

Put call parity: when are the premiums the same?

Please explain why put call parity could be compared to the payoff of a long forward contract. ie. $C_E-P_E=V_X(0)$ where $C_E,P_E$ are the call/put premiums and $V_X(0)$ is the value of a long ...
1
vote
1answer
82 views

What qualifications do the traders have that quants don't?

What qualifications do the traders have that quants don't? I know that they are not expected to know as much math, but that can't be it, can it? (I'm not in finance, nor am I really planning to go ...
0
votes
0answers
23 views

Calculating portfolio returns from a dynamic, optimal re-balancing strategy

I am calculating a dynamic strategy with optimal re-balancing as in here. As a result of maximizing the expected utility function I obtain the weight for the risky asset in period $t=0$. All such ...
1
vote
0answers
6 views

What are appropriate algorithms for forecasting contract schedules to maximize profit?

Imagine a situation where a business negotiates contracts for the maintenance of widgets it sells. Situation Customer buys 20 widgets. Customer negotiates contract for widgets to be serviced/...
8
votes
5answers
865 views

Geometric Brownian motion - Volatility Interpretation (in the drift term)

A Geometric Brownian motion satisfying the SDE $dS_t = rS_t dt+\sigma S_t dW_t$ has the analytic solution $$S_t = S_0\exp\left\{\left(r-\frac{\sigma^2}{2}\right)t\right\}\exp\{\sigma W_t\}$$ Recently ...
0
votes
3answers
108 views

What assets other than bonds are risk free?

I saw a question the other day that said Assume you have only two assets to build a portfolio. Name and explain three scenarios under which a completely risk-free portfolio can be formed? I ...

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