All Questions

1
vote
1answer
75 views

python scipy optimize minimize arguments for Implied Volatility

I am having some trouble getting the 'correct' solution to a function where I am trying to utilize scipy.optimize.minimize. In the code below, I create a function <...
0
votes
1answer
81 views

What is a counterparty risk trading desk

Can someone explains what does the above mentioned desk do? What are their responsibilities and how do they manage them, where do they fit into the rest of the organization?
0
votes
0answers
33 views

How to hedge PLN account on Interactive Brokers

I know that you can't have PLN account on IB, the PLN input is exchanged into USD, GBP etc. currency. However I would like to hedge the other currency exposure against PLN, or at least find out how to ...
3
votes
1answer
55 views

Are extended SABR models useful for options with non-negative underlying

https://papers.ssrn.com/sol3/papers.cfm?abstract_id=2731359 http://janroman.dhis.org/finance/SABR/ZABR%20Andreasen.pdf In the two articles listed above we see several ways to extend the original ...
0
votes
0answers
34 views

Spread duration and spread risk for a T bill

How is the spread duration/ spread DV01 for a T bill computed. For a bond paying fixed coupons, the spread DV01 is generally taken to be the yield DV01 (yield sensitivity). But the bond equivalent ...
4
votes
1answer
118 views

Ito's Lemma for this problem

I'm attempting to prove a lemma from a paper, in the context of optimal contracts. $r,\rho,\gamma,\alpha,\sigma$ are all known constants. $dR_t = (\alpha + r)dt + \sigma dZ_t$ where $Z_t$ is a ...
0
votes
0answers
48 views

stress testing zero coupon yield curve

i'm currently trying to stress test the zero coupon yield curve using daily observations from 2003 to 2019. Each Zero coupon yield curve originate from an actuarial curve with 37 tenors that range ...
0
votes
2answers
60 views

Adjustments for Multicollinearity in Returns-Based Style Analysis

I am currently researching how to estimate a portfolio's effective mix (essentially figuring which weights to hold in broad indices that would have produced most similar return patterns). Sharpe's ...
0
votes
0answers
13 views

Deriving sources of return (over.) extrapolation from surveys

I would like analyze what causes investors to extrapolate returns and there are several theories out there that aim to explain such behavior, such as for example the representativeness heuristic by ...
2
votes
0answers
64 views

USD OIS curve. Why is the the bid bigger than the ask for maturities > 7 years?

I was wondering why the bid is larger than the ask for maturities bigger than or equal to 7 years? If i export the screen to Excel i can see how the bid and ask swap rates are calculated. For the ...
1
vote
1answer
43 views

Calculation of duration based on spot rates

As I know, Macaulay and modified durations are defined in terms of yield to maturity (YTM), in other words, in order to calculate durations we use yield to maturity as a discount factor. Suppose, ...
0
votes
2answers
115 views

Prove ρ(X,Z) = ρ

The covariance of two random variables $X$ and $Y$ is defined by: $$\mathrm{Cov}(X,Y)= \operatorname{E}(X-\operatorname{E}(X))(Y-\operatorname{E}(Y))=\operatorname{E}(XY)-\operatorname{E}(X)\...
1
vote
0answers
29 views

estimate cost of equity (Re) / required rate of return using DCF

I'd like to estimate Amazon's after-tax cost of equity (Re) using both the DCF and CAPM approaches. Tons of info and resources on how to estimate Re using CAPM, but DCF, I see no relevant resources. ...
2
votes
0answers
43 views

Comparing Values of 5s and 7% Notes (Security Analysis by Benjamin Graham)

I was reading Security Analysis by Benjamin Graham (Sixth Edition). Page 63, last paragraph says: A third kind of analytical conclusion may be illustrated by a comparison of Interborough ...
1
vote
0answers
48 views

Spread Duration weighted OAS vs. Mkt Cap Weighted?

I am curious what the differences might be in rolling up OAS spreads across a portfolio by duration weighting vs. mkt cap weighting. @Alex yes I meant S.D. weighted not Duration weighted
0
votes
0answers
43 views

Is it Possible to replicate SPAN?

I currently trade intraday Options on the nearest term expiry and futures. Both E-mini S&P. I am trying to replicate the SPAN margin calculation for the entire portfolio of options and futures. So ...
3
votes
0answers
84 views

Inverse Problems in Finance

Are there any canonical references for inverse problems in finance? For example, if I have a measure that evolves with Fokker-Planck dynamics, are there standard approaches used by the community to ...
0
votes
1answer
59 views

Black-Litterman risk aversion

I'm trying to better understand how BL works and what I would like to know if there is a way to adjust the portfolio created based on a risk aversion variable determined by the user. I can't really ...
1
vote
0answers
45 views

Quantitative model for investing in ETFs [closed]

I want to build a model for asset allocation of my own personal pension in ETFs across four main asset classes: equity, bonds, commodity and property. I am familiar with Python and the basics of risk ...
2
votes
0answers
51 views

SDE of futures price under non-constant interest rate and volatility process

I'm trying to figure out the form of the SDE of futures price under the risk neutral measure, when stock price follows GBM:             &...
4
votes
1answer
117 views

Neural Networks for Estimation of Unmarked Private Asset Returns from Market Data

Let's assume it is March and my illiquid private assets portfolio is only 50% marked for 12/31, but I want to get the most accurate estimate of my final return for the quarter ended on 12/31. What is ...
2
votes
0answers
62 views

Using SVI model for IV surface

I am using well-known paper of J. Gatheral & A. Jacquier Arbitrage-free SVI volatility surface to explore SVI model. on the page 6 in the bottom is statet that The SVI-Jump-Wings (SVI-JW) ...
0
votes
1answer
38 views

Fama-French 5 factor model interpretation of coefficients

I run a regression of the excess return of a company on the 5 Fama-French factors, I obtained the beta coefficients, but I am struggling to understand the meaning of my results. For example, what does ...
1
vote
1answer
73 views

Deriving default probability from CDS spread via stripping

I am currently trying to derive the cumulative probability of default from a CDS spread where the LGD is 30% and there are quarterly premiums including the accrued premium. ...
1
vote
1answer
50 views

Correlated stock prices and geometric Brownian motion

I have two uncorrelated stocks which follow geometric Brownian motion, as follows $$\begin{aligned} dS_a &= \mu_aS_adt + \sigma_aS_adW\\ dS_b &= \mu_bS_bdt + \sigma_bS_b dW \end{aligned}$$ ...
7
votes
3answers
136 views

How to hedge a perpetual barrier option?

I have encountered the following question during my interview: How to have a static hedging of a perpetual barrier up-and-out call option in practice? Strike K = 110, barrier B = 120 for example? MY
2
votes
0answers
66 views

Calculating weights of tangency portfolio

Im having trouble calculating the market portfolio weights (tangency portfolio) for a portfolio consisting of 5 risky assets and 1 risk free asset with 2% return. The data is from 5 assets from the ...
2
votes
1answer
96 views

Tick Imbalance Bars - Advances in Financial Machine Learning

I would really appreciate if any of you can clarify the following questions. I have been struggling to understand it on my own. $b_t=\begin{cases}b_{t-1}, & \text{if}\ \Delta p_t = 0 \\ \frac{|\...
5
votes
0answers
73 views

Feller Condition (Cox-Ingersoll-Ross) source

For the Cox-Ingersoll-Ross model $$\text{d}r_t = a(b-r_t)\text{d}t+\sigma\sqrt{r_t}\text{d}W_t$$ the condition (referred to as "Feller condition") $$2ab\geq\sigma^2$$ ensures that the solution is ...
1
vote
0answers
95 views

On quadratic covariation

I ran through an equality in a paper I was reading but couldn't check if it is correct. Let $W^1_t$, $W^2_t$ and $W^3_t$ be three brownian motions, not necessarily independent, is it true that the ...
4
votes
2answers
126 views

How does one make money from CVA (Credit Valuation Adjustment)?

I am new to Quantitative Finance but have been doing a lot of reading on Counterparty Credit Risk. I understand the definition of CVA being: "the difference between the risk-free portfolio value ...
1
vote
1answer
73 views

Concentration risk in Rates

What are some good ways to assess the concentration risk for a rates curve or by currency when volumes traded by instrument are not easily available? For ex, if for some currencies, the PV01 at ...
1
vote
1answer
66 views

Relationship between CML and SML

I am referring to the book Sharpe et al. (1998), Investments, 6th Edition. I am trying to wrap my head around some lines from the book, pertaining to Security Market Line. It reads: Earlier it was ...
1
vote
1answer
139 views

Bond discounting conventions

during the preparation for my thesis, I've come across some strange discrepancies between literature and the information I've been taught. It comes down to the proper way of discounting cash-flows of ...
1
vote
1answer
93 views

Monte Carlo Method for American Call Option (No Dividends)

I tried to pricing the American Call option using "Longstaff-Schwartz" least squares method. However, I found the American call option is always lower than the Monte Carlo European call option (they ...
3
votes
0answers
47 views

How to Compute the payoff of Var Swaps, which I have replicated

I used Derman(1999) method, to calculate the fixed Kvar for Variance Swaps using actual option price data. The first Pic Shows the outcome. (ignore the 0s). Now the profit and loss of short var swaps ...
2
votes
0answers
76 views

Architecture of a global pricing library with immutable payoffs

By global pricing library I mean a library handling equity, rate etc, hybrid products having several models (BS, LV, SV, LSV) having several numerical methods (analytic formula, MC, PDE FD/FE) I ...
2
votes
2answers
100 views

Approximation of CRR as Black Scholes PDE

I have a formula for intermediate european option price calculated at, say, m-th possible tree value. $S_n^{(m)}$ is a price at node after going up $n$ times and down $n - m$ times $V(S_n^{(m)}, t + ...
3
votes
1answer
59 views

IMM Swaps - Accrual & Fixing Schedule

I am wondering how accrual periods & reset dates on Quarterly-IMM swaps are different to normal swaps (in terms of conventions). For example: Normal Swap: ...
0
votes
0answers
86 views

Exotic option arbitrage

Suppose an exotic European option has a sub hedging (price being lower than the target) portfolio of vanilla European options all with the same expiry as the exotic option. The sub hedging portfolio ...
7
votes
0answers
51 views

Quanto basket payoff

I have a payoff that is the worst of the returns two indices: S&P500 (SPX) and Euro Stoxx 50 (SX5E). $\pi = \min \left\{\left(\frac{\text{SPX}_\tau-\text{SPX}_0}{\text{SPX}_0}\right),\left(\frac{\...
2
votes
1answer
51 views

Multi-period portfolio allocation: Time-inconsistent approach

Consider a multi-period mean-variance portfolio optimization so that at time $t$ I find the strategy that maximizes my expected terminal wealth $X_T$, subject to a constraint on risk, \begin{align*} \...
0
votes
0answers
40 views

John Ehlers - Forward Reverse EMA indicator calculation in pandas

I found a lot of translations of the John Ehlers - Forward Reverse EMA indicator in different specifics language (TRADESTATION, METASTOCK, ESIGNAL, WEALTH-LAB, AMIBROKER, NEUROSHELL TRADER, ...
0
votes
0answers
42 views

Question about co-skewness

I'm wondering how I should calculate the $$\mathrm{E}[(R_m-E[(R_m))^3]$$ term for co-skewness.
2
votes
1answer
51 views

is relating bounds to relation between time to maturity and european put option price correct?

J.C. Hull derives the following relation $$Ke^{-rT} - S \le p \le Ke^{-rT}$$ where $p$ is european put option price, $K$ is strike price, $S$ is stock spot price,$r$ rate of interest and $T$ ...
0
votes
1answer
135 views

What is market standard model in equity, FX and interest rates exotics?

Is there any industry consensus about the model to use for pricing exotics in equity, FX and interest rates? I assume that for vanilla options they all use Black model, but how about exotics? Also, ...
2
votes
1answer
111 views

R: Calculating cumulative return of a portfolio

I've downloaded adjusted closing prices from Yahoo using the quantmod-package, and used that to create a portfolio consisting of 50% ...
-1
votes
0answers
22 views

Mean squared error calculation in portfolio optimization [duplicate]

Hi I'm having an explanation like below. I'm trying to find the minimum global portfolio and I found following explanation This explanation says the lambda can be identified via k-fold cross ...
5
votes
2answers
157 views

The VIX Flip Indicator

I came across this article discussing how the VIX Flip Indicator tracks the fear of investors. It seems to be an interesting tool, which I would like to investigate. The calculation of this indicator ...
6
votes
3answers
353 views

Most significant research articles for practical investors with research perspectives

I am an applied mathematician and recently I have decided to study the portfolio management theory. As a final objective, I want to manage my own portfolio and to try make some money on it using my ...

15 30 50 per page