0
votes
1answer
56 views

FX Portfolio Volatility Targeting

If I have 3 different currency trades (ex short EURSEK, short NZDUSD, long USDJPY), how do I size each trade if I wish to allocate risk equally in order to target a 12% portfolio volatility (allowing ...
2
votes
1answer
22 views

Calculating the rate of return over a year then the data for a year before does not exist

I am trying to find the growth rate of a stock over a given year. Let's say I wanted to find the growth rate from today, June 11, 2015 to June 11, 2014. This is easy enough when you have perfect ...
3
votes
0answers
97 views

Parametrizing the Radon Nikodym

The following is an excerpt from the dialogue in the book "Counterparty Risk and Funding - A Tale of Two Puzzles", regarding the statistics such as the volatility and correlation estimation under the ...
2
votes
3answers
147 views

Physical or Real-world Probability Measure

For counterparty credit risk, in particular, for potential future exposure computation, people use the real-world probability measure to evolve the underlying risk factors. My question is that whether ...
0
votes
2answers
52 views

Reproducing levels when PCA has been done on changes

I want to use PCA for rich/cheap analysis of interest rates. For this I did the PCA on the time series of daily difference in interest rates, which is stationary. I cant do pca on levels, as they are ...
2
votes
3answers
65 views

Books on Market Risk for practice problems

Are there any books with practice problems for Market Risk, with special emphasis on vanilla and exotic options? Or should I look into old exam papers from FRM as sold by Kaplan/GARP?
2
votes
1answer
63 views

Value of European Call equals Value of American Call, Question on Explanation/Proof

I am reading S. Shreve, Stochastic Calculus for Finance, Vol. I. There he proves that American Call Options have the same value as European Call Options. In the proof he uses that for a Call option ...
0
votes
0answers
33 views

Swiss Zero-Coupon Bond Yield Curve Data

I am trying to access the Swiss Zero-Coupon Yield Curve Data. I know that the Swiss National Bank provides this data, as noted on the 8th Page of this paper under Section 3.2. However, I am for the ...
3
votes
2answers
147 views

Basic LIBOR curve question

I'm new to the quant finance and have a very basic question about LIBOR curve. LIBOR is published every day for 4 different tenors (1M, 3M, 6M, 1Y), and each rate means how much annual interest ...
1
vote
0answers
41 views

Using cross-sectional factor model (BARRA type) returns in a time series factor model (Fama-French type)?

This may be seen as a follow up question for the previous discussion on time-series vs cross-sectional factor models: Which approach to estimating fundamental factor models is better, cross-sectional ...
3
votes
1answer
73 views

Negative Interest Rate & Basis Models

Since markets are showing negative interest rate, I'm forced to find a model that can catch this behaviour. Because of that, I have implemented and calibrated the G2++ (or the Hull-White 2 Factors) ...
3
votes
1answer
105 views

Distribution of Black Scholes call option price at time 0<t <T

Does anyone know how to find the probability law (distribution) under P* of a Black Scholes Call Option price $C_t$ for $0 < t < T $? (Under P*, $ dC_t = \frac{\partial c}{\partial s}\sigma S_t ...
2
votes
1answer
101 views

Black-Scholes under stochastic interest rates

I'm trying to implement the Black-Scholes formula to price a call option under stochastic interest rates. Following the book of McLeish (2005), the formula is given by (assuming interest rates are ...
1
vote
0answers
25 views

Initial values for Heston Model calibration

I'm doing a Heston model in Matlab using simple Monte Carlo simulations (5.000 paths and 2 steps per day, simulating 360 days). When I try to calibrate the Heston parameters using fminsearch it takes ...
2
votes
1answer
116 views

Why using the swap curve as riskfree rate and no longer gov bonds?

I recently had an interview where I was asked what to use as risk-free rate. In all my textbooks it was always the US treasury yield curve. But they said no its now the "swap curve". Why is the swap ...
1
vote
2answers
28 views

Calculate single cashflow at maturity for a Total Return Inflation swap (zero coupon)

I'm a newbie to the world of swaps. If I have a Total Return Inflation Swap (Receive CPI, Pay Fixed Zero Coupon) Based on CPI Index starting level = 236 Notional = 100,000 Term = 5 Years How can I ...
1
vote
2answers
24 views

Compound Interest Calculation (Years + Months)

My question is with regards to the calculation of "Compound Interest". I have the formula below where I would get an answer to the total value of the investment over a period of "years". $A$ = ...
1
vote
1answer
68 views

Using Spot Rates to construct Zero-Coupon Bond Yield Curve

I am just trying to get an explanation as to why Spot Rates can't be used to create a yield curve for Zero-Coupon Bonds? Or if they can, would it involve Bootstrapping? Thanks
2
votes
1answer
57 views

Combining modern portfolio theory and Kelly betting?

I'm using modern portfolio theory to compute the frontier of efficient portfolios. I'd like to pick the best one in the spirit of Kelly betting, ie. maximising expected growth. I'm looking for a ...
1
vote
1answer
25 views

Export security description data from bloomberg into excel

I have the cusip of about 300 bonds. I want to retrieve the security description from bloomberg and then export it into excel. Does anyone have any tips as to how to accomplish this?
1
vote
2answers
167 views

Option arbitrage with dividends?

If a stock pays a discrete dividend, the stock price falls by the amount of the dividend. There is no arbitrage opportunity from this predictable jump, because the investors receive the same amount of ...
0
votes
1answer
70 views

Looking for a definition of financial entropy

In Science, Entropy is generally considered to be the irreversibility of stuff. Google defines entropy as: lack of order or predictability; gradual decline into disorder The 'gradual decline in ...
0
votes
1answer
42 views

Looking for the conventions for EONIA swaps used to define EONIA swap rates

I'm trying to recreate some historical curves using EONIA swap rates. Unfortunately I can't find a concrete specification for the swaps. Without knowing if there are intermediate coupon payments, I ...
3
votes
1answer
57 views

Do Regional Central Banks have API's?

Do Regional Central Banks such as the Federal Reserve and ECB have API's to access their Statistics? I've been searching all day and haven't been able to find them. They seem to provide most of their ...
0
votes
0answers
6 views

FInding the Delta in margin based on Pricing, Unit Types, Product Mix, and Sale Types

Is there a way to find the change in margin based on the the changes in pricing, unit types, product mix and sale types? Is there a standard formula we can use? We have tried ...
3
votes
2answers
89 views

Forecasting problem with Geometric Brownian Motion in Wolfram Mathematica

I'm a full time undergraduate student from Peru, and I'm trying to use the Geometric Brownian Motion example used in the help section from Wolfram Mathematica in order to forecast future stock ...
0
votes
1answer
62 views

API that provides Zero Coupon Bond Yield Curves?

Would anyone know and API or Database where one could access Zero Coupon Bond Yield Curves? Also, is it wrong to use Coupon Paying Bonds Yield Curves and then zero-finding and then bootstrapping to ...
3
votes
2answers
66 views

American put for negative interest rates

It is often explained, that the rule of thumb for exercising American options is to check when the benefit from the interest rate (sell the stock earlier, get the cash, put in the bank) is higher than ...
3
votes
1answer
89 views

Simulate (imaginary) asset prices using random numbers that follow a Frank Copula

I didn't understand how to simulate asset prices by using non normal random numbers. I am assuming that it would be incorrect to use the standard Geometric Brownian Motion, since it is based solely ...
2
votes
4answers
196 views

How to short an option?

It appears to me that retail investors can only buy calls and puts, but not short them through any standardized way (except maybe borrowing the option from a friend ;) ). Is that correct, or how can ...
0
votes
0answers
29 views

Black Scholes with Dilution

I've seen two ways to account for dilution when valuing a European option using Black Scholes. I'm not sure which is the correct way and why these methods differ. The two ways I've seen are: 1) ...
0
votes
0answers
8 views

Is there any theoretical work to find an optimum size for the size of horizon in finite-horizon optimization or control?

we learn a lot about finite and infinite horizon control in dynamic programming. but I was wondering if we want to minimize the cost per time(discrete time) is there any work to find the optimum size ...
1
vote
1answer
45 views

Calculating Fees (Kane, Marcus, and Trippi)

Having read a chapter in Bodie, Kane and Marcus' Investment, I came across a formula I do not quite understand. It states that the percentage fee in excess of what an index fund would charge on active ...
0
votes
0answers
26 views

Return volatility or Price Volatility [duplicate]

Which is a better method to calculate volatility - Price variance or return variace or is it subjective to the use of volatility figure?
3
votes
2answers
73 views

Higher expected value and same variance implies weak dominance?

In his book Risk and Asset Allocation, Meucci writes (last paragraph) Indeed, since all the indices of satisfaction $\mathcal{S}$ discussed in Chapter 5 are consistent with weak stochastic ...
1
vote
1answer
23 views

EGARCH formulation

I am a bit confused about the formulation of the EGARCH(1,1) model. First, we have the error term: $\epsilon_t=\sigma_t*\zeta_t$, where $\zeta_t$ is white noise. Now the EGARCH(1,1) should be: $$ ...
2
votes
2answers
62 views

Binomial representation of stochastic processes

It is common knowledge that a random walk can be represented in the form of a binomial process. Is it possible to represent any generic stochastic process (including non-linear) of the form ...
1
vote
3answers
89 views

where to get long time historical intraday data?

I am looking for long time historical intraday day data on the S&P500 composite for a time horizon like 10 years with a - for example 10-minutes tick - or prices for call/put options on the ...
0
votes
0answers
23 views

How to decide if the ARCH coefficient is necessary in the GJR-GARCH model?

I did some analysis for CAC 40, the French market benchmark, for the period 2005-2014, and I tried to fit the data with a GJR(1,1) model in MATLAB. Then some warning showed Lower bound ...
0
votes
0answers
23 views

Analyst vs firm claims on beta and return

The excercise and it's solution: Sunshine Mutual Fund is boasting that its expected return is much higher than the market portfolio. While the expected return of Sunshine’s portfolio is 14%, the ...
5
votes
3answers
212 views

Greeks: Why does my Monte Carlo give correct delta but incorrect gamma?

For a vanilla European call, my Monte Carlo method gives the right option price and delta but the wrong gamma. In particular, the value of gamma varies wildly each time I run the method. I estimate ...
0
votes
0answers
28 views

bandwith portfolio rebalancing in python

I want to calculate a bandwith rebalancing machanism for a portfolio of two assets. As soon as the performance of one ov the assets gets bigger or smaller than the other one + a defined tolerance ...
0
votes
1answer
31 views

Diebold-Mariano test

I am trying to use the Diebold-Mariano test but it doesnt work for some reason. Here is my code: dm.test(maegarch14,maeegarch14,h=126) where ...
4
votes
1answer
107 views

Why the difference between SPY and ^GSPC?

Look at SPY vs ^GSPC -- the difference seems bigger than can be explained by the ETF fees. Is it only because of SPY re-invests dividends quarterly or something else? Since ...
1
vote
1answer
79 views

Covariance Matrix vs. Volatility Matrix

Consider a general multidimensional market model in which each of $m$ stocks is driven by $d$ Brownian motions (as in Shreve II, p. 226), viz. $$ dS_i/S_i = \alpha_i dt + \sum_{j=1}^d \sigma_{ij}dW_j, ...
0
votes
1answer
86 views

Calculate the realised volatility from a time series

Does anybody know how to calculate the realised volatility from a series for a certain time frame? For example, I am looking at 5 days, 21 days, 63 days, 126 days and 253 days. thanks
1
vote
1answer
15 views

Measure difference between estimations and historic returns

For every day in a year, I have the return on an asset and the CAPM estimation for the return. I want to measure the average difference between the set of returns and set of estimations. So far, I ...
1
vote
1answer
66 views

What is the distribution assumption of the black scholes model

As per wikipedia the Black Scholes assumption is: (...
0
votes
1answer
53 views

Do I need simulink to model the risks of an option portfolio

I wish to buy Matlab Home and learn to model the risks of a derivatives portfolio and then stress test it. So I am guessing I will need : Stochastic calculus Linear algebra Stats/Probability Some ML ...
-3
votes
1answer
61 views

Constant decreasing volatility, GARCH forecasting

I am trying to forecast the volatility using GARCH modelling in R. I fit an ARMA(1,1)-GARCH(1,1) model, but my sigma predictions are constantly decreasing. Anybody know why? ...

15 30 50 per page