2
votes
3answers
113 views

What is the theoretical expected growth in an option's value over a given period of time?

Say an option with five years left before maturity has a value of $x$ today. Theoretically, under the B/S framework, what is its expected value in five years (upon maturity)? Do we assume it will ...
3
votes
1answer
90 views

dynamic Markowitz portfolio

Let's take 4 assets, whose values are known during a period of time of 2 years. Then I calculate the expected returns for each of these 4 assets thanks to these 2 years - historical data. I deduce the ...
0
votes
0answers
25 views

Range accruals - distribution of $n/m$

Say we are pricing a range accrual that pays $4\% * n/m$, where $n =$ # days in the period where libor $>3\%$, and $m =$ total # days in the period. Assume that we have a flat forward curve at $3\%$...
0
votes
0answers
51 views

Delta hedge compound option

Delta hedge portfolio should be adjusted from one period to the other, as the ratio changes. How does it work with compound options though? Suppose, I have a put on a call option on a stock, in 2 time ...
5
votes
1answer
56 views

Equivalency of FX forwards and FX fixed for fixed swaps? Are they still the same under multiple curves environment?

I am encountering two approaches for valuation of FX swaps (fixed for fixed, e.g. fixed USD payments for fixed EUR payments) which seem to result into different values although in theory they should ...
1
vote
3answers
147 views

Appropriate measure of risk if return are not normally distributed

Normally standard deviation of an assets is used as an proxy for the risk in the financial market. In reality distribution of return is more peaked at the center and higher mass in the tail as ...
0
votes
0answers
30 views

Is order flow imbalance more or less correlated with price movements at slower frequency?

Suppose I define order flow imbalance as volume(aggress buy)/volume(aggress sell), or some variant of that. Is this variable more, or less, correlated with price movements when I sample less ...
4
votes
1answer
38 views

Analytical Bond Price under Rendlemen-Bartter?

Assuming the short rate $r_t$ follows the risk-neutral (so $W_t$ is a $Q$-Brownian motion) process $$ dr_t = ar_t dt + \sigma r_t dW_t, $$ does anyone know of an analytical bond price formula? We ...
0
votes
1answer
71 views

Why QuantLib assumes zero rates to discount factor is continuous?

https://github.com/lballabio/QuantLib/blob/0ec43027834220baf0a554d68de79a159a2c5489/ql/termstructures/yield/zeroyieldstructure.hpp ...
1
vote
1answer
36 views

Is an FX forward with delayed settlement still a derivative?

As an example: Trade date: 1/1/16 Maturity date: 2/29/16 Settlement (exchange of currencies) 3/31/16 Is the instrument between 2/29 and 3/31 still deemed a forward? The forward rate is determined so ...
0
votes
1answer
85 views

Bank discount yield and money market yield

I have a question regarding Bank Discount Yield and Money Market Yield for US TBill. Some books mentioned that ...
0
votes
1answer
29 views

Binomial Model, Number of nodes from $t = 0$ to $t = n$

How many paths are there in a binomial model from time $t = 0$ to time $t = n$? How many nodes (states) are there? Intutively it seems that there are $2^n$ paths and $2n - 1$ nodes. But I am not sure ...
3
votes
2answers
92 views

Difference in implied volatility calculation

I've been using vollib to calculate IV, but my answers have been different by tenths from other sources like NASDAQ and Yahoo. The answers range +- 0.5, sometimes even more. The inputs are: $S$ (...
1
vote
1answer
135 views

Which studies should be replicated?

In psychology voting on which studies should be replicated is established on a website. For economics, including financial economics, the ReplicationWiki (that I founded) offers a voting option but it ...
1
vote
0answers
35 views

Are there alternatives to the Box-Tiao decomposition in identifying mean reverting portfolios?

As documented in this paper, Box-Tiao decomposition (a way to decompose multiple time series into components with different speeds of mean reversion) can be used to identify mean reverting portfolios. ...
1
vote
0answers
178 views

Historical volatility on bloomberg API

Is there a way to obtain the historical volatility of a stock from the bloomberg API? I would be looking for the data in the HVT table. Actually 3-months historical volatility from now would be enough....
0
votes
0answers
38 views

Intraday or overnight returns?

While calculating insider abnormal returns, closing prices of securities are generally used. We take the actual ex post return of the security i on time t, minus the expected normal return for the ...
1
vote
1answer
141 views

How necessary is real analysis and complex analysis for trading at hedge fund levels?

As the title states, I am basically wanting to know the applications of real/complex analysis in finance. How important are such high levels of math ? I can obviously see how things such as ...
0
votes
0answers
55 views

Rblpapi millisecond resolution

I'm using Rblapi to get tick data, using the nice getTicks function. Much to my dismay the index is rounded to the second, while milliseconds time stamp could be provided. Tried returnsAs xts, fts(?) ...
0
votes
3answers
196 views

Where can I find best end of day option data? [duplicate]

Looking for accurate end of day option data. Preferably with Greeks. Any recommendations?
0
votes
2answers
51 views

Where can I find free single-day charts for the S&P 500?

I'm trying to find free historical charts of the S&P 500. I don't need the raw data, I just need to access a simple chart showing the movement of the index over the course of the day (for an ...
3
votes
1answer
89 views

Approximation of an option price

The value of an option in the money is 11.50 Euros. The parameters of the market are: -The price of the underlying stock: 81.4 Euros. -The volatility ofthe underlying is : 34.65 % The ...
1
vote
0answers
24 views

Data on interest rate differentials (lending on own vs. foreign currency)

I'm looking for data on (inner country) interest rate differentials between lending in own and foreign currency. Is there any data publicly available? If yes, where? If not, which non-free sources are ...
0
votes
1answer
75 views

Strategies on steepen yield curve

Believe that the yield curve is going to steepen very soon. It may be fall in short-term rates, a rise in long-term rates, or some combination of these. What strategy should we pursue in the bond ...
0
votes
0answers
21 views

How would MTM an interest only currency swap affect its valuation?

Not sure how a central clearing house that marks an interest only currency swap between two parties to market everyday would effect the currency swap's price. Any ideas?
0
votes
0answers
17 views

Transaction costs estimate for investment strategy

I'm examining a strategy based on profitability. I sort UK stock into 10 portfolios based on their gross profits-to-total assets ratio. Then, I create long-short portfolios by subtracting the high ...
3
votes
1answer
82 views

Information on Weather Derivatives

I am looking for relevant information on the organization of the Weather Derivatives market. How is it organized? How information is shared? Where can we find historical database? I am aware of the ...
4
votes
1answer
149 views

Libor Market Model Calibration

Currently I am doing a research on the plain vanilla multi-curve framework Libor Market Model meaning that no stochastic volatility is involved. I had the idea to calibrate to the swaption market. In ...
1
vote
2answers
227 views
0
votes
1answer
113 views

RiskMetrics VaR Volatility Sample Size

RiskMetrics calculates volatility using an exponentially weighted moving average. For a decay factor of 0.94, they advise a sample size of 74 past returns. Does this mean the entire calculation should ...
0
votes
2answers
93 views

Price of an equity

An equity has a value of 100 Euros, and pay a dividend of 5 Euros in 6 months. The interest rate of 6 months is 5% and the interest rate for 1 year is 6%. I would like to compute the value of the ...
0
votes
1answer
54 views

ABS vs covered bonds vs CDO [closed]

What is the difference between asset-backed securities(ABS), covered bonds and collateralized debt obligations (CDO)?
1
vote
2answers
162 views

Differences in EIOPA S.06.02.0x QRTs (Assets D1 in 2016)

As per the COMMISSION IMPLEMENTING REGULATION (EU) 2015/2450 (published 31DEC2015) I can see that S.06.02.01 QRT relates to Quarterly (or annual if exempt) quantitative templates for individual ...
3
votes
3answers
155 views

Black Scholes Constant Implied Volatility

I hope someone can clarify my ideas about the constant implied volatility in the classical Black Scholes framework. As well known, market practitioners quote the prices of vanilla call and put ...
3
votes
1answer
97 views

Modeling Financial Assets

Let $\tilde{W}_t := (1+R)^{-t}W_t$ and $\tilde{S}_t := (1+R)^{-t}S_t$ be respectively discounted wealth process and discounted asset price. Then, show that $$\tilde{W}_t = w_0 + \sum_{i=1}^{t}\Delta_i(...
3
votes
2answers
122 views

Vega in a “constant volatility” Black-Scholes world?

A little confused, I consulted the Wilmott forums for guidance on how I can interpret vega/vomma. Another user's post reminded me that the Black-Scholes model assumes that the underlying has constant ...
0
votes
0answers
28 views

Market standards

Having a high quality pricing models is one of the main expectation of people working in finance, in fact the pricing models delivered should be proved to be accurate, following the latest market ...
0
votes
3answers
61 views

Looking for an algorithm to generate (dummy) share price data

Is there an easy-ish way I can generate "dummy" share price data for the purposes of data visualisation techniques etc.? Essentially I want to have something like the "Adventure Works" of price data. ...
0
votes
0answers
49 views

For a square-root process (CIR), how to verify the characteristic function of the transition density?

I am trying to solve a financial mathematical question. I derived PDE (a) for the characteristic function as follows. But, I don't know how to verify the following characteristic function of the ...
0
votes
2answers
156 views

Discrepancy between binomial model, Black-Scholes and Monte-Carlo Simulation

I try to use Monte-Carlo Simulation to price a 10-year call option. Based on below parameter, S = 1, X = 1, volatility = 80%, T = 10, risk-free rate = 0.22% The option value based on Monte-Carlo ...
1
vote
1answer
72 views

Portfolio optimization

first I just hope that this question is in the right place. I have started working on portfolio optimization and the formulation of the problem and their solution : For example in the Markowitz ...
0
votes
0answers
12 views

Modified average swap

I have an instrument that is a swap over the SMK6 that at expiry (it has only one cashflow) pays the difference between the average daily Price of the underlying and the actual Price. The average ...
0
votes
0answers
76 views

Risk-neutral probabilities

I will use this theorem 3.2 from the book "Quantitative modeling of Derivative Securities" by Marco Avellandea: Theorem 3.2 - Assume that there is no arbitrage, i.e. there exists a risk neutral ...
3
votes
1answer
131 views

Example of options that cannot be priced with least-square Monte Carlo

Can you give some example of options that cannot be priced with least-square Monte Carlo? Intuitively, this is any option for which a payoff depends on a previous exercise decision. It's relatively ...
0
votes
0answers
21 views

How to appropriately measure volatility in assets with different execution dates?

Let's say I have two assets and I am hedging them with going short on two other assets. Let's say that asset 1 is expected to expire in one day and asset two is expected to expire in two days. Let's ...
0
votes
1answer
56 views

For a call option, what is the real-world probability of expiring in-the-money?

In the Black-Scholes world, the risk-neutral probability of expiring in-the-money is given by N(d2). Can I just replace the risk-free rate by the drift rate to obtain real world probabilities? Thank ...
0
votes
0answers
46 views

Building PD model using Moody's Historical default rates

I want to build a Probability of default model using moody's cumulative default rates. I was trying to calculate the average default intensity rate and from there I dont know where to go. Example : ...
0
votes
1answer
161 views

Matlab code for equally weighted portfolio

I have daily returns of 10 stocks. I need to construct an equally weighted portfolio that goes long in the 3 highest returns and short in the 3 lowest returns. The portfolio needs to be re-balanced ...
4
votes
1answer
98 views

Determining the implied volatility for options with bid/ask prices below the intrinsic value

I need some help in understanding the Black-Scholes option pricing model. In my data there are several deep itm European index put options that have an ask price below the intrinsic value. ...
5
votes
1answer
184 views

Is trading mean reversion of small principal components of prices profitable?

Many have told me that it is a good idea to look at the third principal component (PC) of yield curve movements, as well as third and fourth PC of G10 currencies. They claim these PCs represent "...

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