5
votes
1answer
86 views

Square of arithmetic brownian motion process

We have an arithmetic Brownian motion process $X_t$ that follows $dX_t=\mu dt + \sigma dZ_t$ and we define the asset price $S_t=X_t^2$ and we are asked to find the stochastic differential equation ...
1
vote
3answers
36 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
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 ...
0
votes
0answers
39 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 ...
4
votes
2answers
98 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 ...
0
votes
1answer
43 views

Bilateral Counterparty risk

Why do counterparty risk pricing adjustments need be considered in a bilateral counterparty risk perspective? Thanks
1
vote
2answers
52 views

what data sources are useful for obtaining financial statement data of listed companies NYSE and NASDAQ?

Exactly, I need balance sheet, income statement, cash flow statement, stock market, bankruptcy situation, fraud situation and corporate governance data of companies in USA. Thanks beforehand,
1
vote
1answer
50 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 ...
4
votes
2answers
86 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, ...
1
vote
1answer
62 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 ...
1
vote
1answer
42 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 ...
0
votes
1answer
36 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 ...
1
vote
1answer
73 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 ...
5
votes
3answers
83 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 ...
0
votes
0answers
12 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
5 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 ...
0
votes
1answer
64 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 ...
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 ...
1
vote
2answers
31 views

Maximization with risk-neutral investors and VaR constraints

In this paper, the authors make a simple model with: (1) A global bank, who is risk-neutral but has a Value-at-Risk constraint: $$\max_{x_t^B} E_t[x_t^B\prime R_{t+1}]$$ s.t. $$\alpha ...
0
votes
0answers
31 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 ...
0
votes
3answers
100 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 ...
0
votes
0answers
12 views

One period optimizations with tcosts, few predictions and getting positions unstuck

Consider a one period portfolio optimization with objective that maximizes $\omega E(r) - \lambda_r\omega^t\Sigma\omega - TC$ Where TC is however we calculate tcosts/impact. Importantly, most ...
0
votes
0answers
19 views

Determining Monthly Premium with Credit default swap

I hold a 10 year, $100 million bond. In order to minimize risk, I enter into a credit default swap in which I am paid every time (monthly) the bond rating drops to a new low. I have the probabilities ...
9
votes
2answers
262 views

Solution of Merton's Jump-Diffusion SDE

In many textbooks and also in the original Merton's paper the solution of the SDE $$ dS_t = S_t\,\mu\,dt+S_t\,\sigma\,dW_t+S_{t^-}\,d\left(\sum_{j=1}^{N_t}V_j-1\right) $$ is written as $$ S_t = ...
1
vote
0answers
21 views

How to calculate the unrealised profit on sinkable bond

How is calculate the unrealised profit on Sinkable Bond when 50% of the bond value already been paid? Is the following method correct: Unrealised P&L = ((Current.Position * Market.Price) - ...
3
votes
1answer
65 views

The Relation Between the Ricci flow and the Black-Scholes-Merton Equation

Grisha Perelman once wrote that The Ricci-flow equation, a type of heat equation, is a distant relative of the Black-Scholes equation that bond traders around the world use to price stock and ...
0
votes
0answers
36 views

First step of Black-Litterman portfolio

I tried to implement Black-Litterman model. I have a covariance matrix, market capitalization for each asset. I assume a risk aversion factor to be 10. First I use the following code to get ...
4
votes
2answers
64 views

Realized “efficient” frontier. Is this reasonable?

I have performed some out-of-sample analysis of mean-variance optimization with monthly rebalancing. Studying the "realized efficient frontier", I am worried that something is wrong. Since the ...
3
votes
2answers
94 views

A proof that the final payoff on a futures contract is twice that on a forward contract

Following is an argument demonstrating that the final payoff on a futures contract is twice that on a forward contract, contrary to what I believe is the accepted truth that the two payoffs are the ...
0
votes
1answer
40 views

Zero-rate USD Curve

Good day, I have inputs: Libor 1D, 1M, 2m, 3m. FRA 3x6, 3x9, 3x12 IRS 2Y, 30Y. What formula should I use to construct zero rate curve? Thanks
1
vote
1answer
36 views

What exactly do I sell when I sell a futures contract I have previously bought?

Suppose I buy a futures contract and later, before expiry date, I sell it out. Is something physically exchanged between myself and the buyer, e.g. a paper certificate specifying the contract's ...
1
vote
0answers
32 views

Marchenko–Pastur, Student distribution and returns

I have a question regarding random matrix theory. I've been studying various papers and I found some confusing definitions of Marchenko-Pastur law. The most clear was the one on wiki: ...
1
vote
1answer
59 views

Taleb Modified Delta

How does one go about calculating the modified delta as proposed by Taleb in his book Dynamic hedging? In his book he says its a change in the call price divided by a change in the underlying and ...
1
vote
1answer
48 views

When are factors returns in asset pricing and how do we construct them?

I am very certain that the temperature in New York's Central Park plays a super-significant role in stock returns, so I take its daily averages and I want to test it in factor model. Cochrane ...
3
votes
2answers
110 views

How to deal with negative ARCH terms?

Lately I have been trying to fit a GJR-GARCH(1,1) model to fit against the S&P 500 returns over 1985-2015 but I have ran into some problems I can't quite figure out. The GJR-GARCH(1,1) model I am ...
1
vote
0answers
21 views

Valuation Models for Bank Credit Default

What approaches exist for calculating a fair price for a credit default swap for a bank? Most of the traditional valuation models are geared towards industrial firms. Are there any theoretical ...
0
votes
0answers
29 views

NDF Formula for Implied Yield

Good day, I have inputs: Spot Rate USD/UAH - 26.40. Term - 1M Bid 26.90 Ask 27.70 Bid Yield 23.40 % Ask Yield 58.90 % I have no idea how yield is computing, what formula should I use ? Thanks
3
votes
2answers
73 views

ARMA-GARCH model, bset model selection and confidence levels calculations

I'm a newbie in GARCH models. I tried to realize ARMA(p, q)-GARCH(u, v) model via fGarch. So, 2 main questions. 1) Can I use BIC/AIC for selection best model for all (p, q)-(u, v) models? So, is it ...
0
votes
1answer
21 views

Mechanics of futures contracts: with respect to which time reference is the variational margin calculated?

Consider the following situation. My futures exchange, Futures Inc., is open for business 9AM till 5PM EST. A few days ago I assumed a long position in a futures contract, $C$, on one unit of some ...
3
votes
2answers
116 views

Intergral of Brownian motion w.r.t. Brownian motion

I don't understand why $S$ (highlight on picture), I learned $$\int_0^t W(s) dW(s) = \left. \frac{1}{2} (W^2(s)-s) \right \vert_0^t $$ everyone please explain for me. Thank you
3
votes
1answer
52 views

Value measures other than P/B

Price-to-book is a very well-studied value measure. What research is there on non-P/B value measures? I came across a handful used by AQR (Sales/EV, Cash flow/EV, E/P, Forecasted Earnings/Price) but ...
-2
votes
1answer
24 views

What is the formula for calculating Draw down recovery percentage?

I need the formula to calculate Drawdown recovery percentage showing in this picture. If you know please share. Thank you...
1
vote
1answer
21 views

What is the intuition of a spread portfolio and how exactly is it constructed?

In a lot of papers spread portfolios are constructed, like in Harvey and Siddique (1999), Table IV, or in Fama and French (2005 from SSRN), page 15. First, why is it important to construct such ...
0
votes
0answers
30 views

How to work with two instruments in quantstrat [on hold]

I'm new to quantstrat. I would like to know how I can work with two instruments at the same time? For example ...
1
vote
0answers
24 views

How to schedule a sequence number reset in QuickFIX?

What is the recommended way to handle scheduled sequence number resets (initiated by the counterparty once per day) ?
10
votes
2answers
217 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
0answers
28 views

Cross-sectional Regression: Using calculated coefficient of first regression for a second regression as dependent variable

Hello stackexchange community! I am new to R and econometrics and and stuck in a step of the fama-macbeth (1973) regression, in which risk premia of stocks are estimated with a two-step regression ...
0
votes
1answer
47 views

Definition of Financial Futures: The value of a futures contract

According to the opening paragraph of the Wikipedia article for "Futures contract" In finance, a futures contract (more colloquially, futures) is a standardized forward contract which can be ...
0
votes
1answer
37 views

Definition of Financial Futures: The price to pay for the underlying asset on delivery date

According to the opening paragraph of the Wikipedia article for "Futures contract", the parties to a futures contract initially agree to buy and sell an asset for a price agreed upon today (the ...
0
votes
0answers
37 views

Spread Return and Mean Reversion Model

http://papers.ssrn.com/sol3/papers.cfm?abstract_id=2399915 The above paper proposes an interesting method for modeling credit spreads. I have tried to implement it in R but keep obtaining unrealistic ...

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