Questions tagged [derivatives]

A financial contract whose payoff is linked to the evolution of an underlying security.

107 questions with no upvoted or accepted answers
Filter by
Sorted by
Tagged with
18
votes
1answer
1k views

Stochastic modelling of derivatives on dividends

I consider pricing and risk analysis of derivatives on dividends of the members of equity indices (such as Dow Jones EuroStoxx). There are options but I focus on futures. What are common stochastic ...
10
votes
0answers
1k views

option chain data visualization, sunburst

I think option chains are not represented in the best way. With more and more options products coming out and trading on the various exchanges, I see vendors struggling to keep up with a good way to ...
6
votes
0answers
91 views

Non attainable claim - Incomplete market

I am wondering whether there is a standard procedure to find a non attainable (i.e. non replicable) asset in an incomplete market. As an example, let us have the following market ($B = (B^1, B^2, B^3)$...
4
votes
1answer
126 views

How does the underlying get delivered for electricity market derivatives?

I have been reading around energy markets recently and recent schemes such as Voluntary Carbon Markets, similar to the 'cap and trade' style of the Kyoto Agreement in 1997. I have been reading in ...
4
votes
0answers
104 views

Two barrier options puzzle

I come across an interesting question about barrier option as shown below. Two barrier options are given with the same parameters including the barrier level. The first one is knocked out when it ...
4
votes
0answers
88 views

Structured Energy Option Pricing

Let's say I have an option with the following terms. This is for an energy product (ie natural gas) The contract will last for 6 months The payoff is the difference between the first of month index ...
4
votes
0answers
172 views

Risk factors for derivatives on dividends

I consider pricing and risk analysis of derivatives on dividends of the members of equity indices (such as Dow Jones EuroStoxx). There are options but I focus on futures. What are the main risk ...
3
votes
1answer
89 views

Deriving the Heston-Hull-White PDE

I'm trying to derive the Heston-Hull-White PDE. The correct backwards PDE is equation (1.3) of this paper on page (2). I will begin deriving the forward PDE, but switching between the two is trivial. ...
3
votes
0answers
122 views

Are rough stochastic volatility models used on the street for equity derivatives ? (2020)

I'm building out some stochastic vol models for pricing exotic equity derivatives. What's the state of the art on the street?
3
votes
0answers
288 views

Estimating Market Price of Risk

I need help with estimating market price of risk. Assume money market account and two risky assets which exposed to same two sources of risks follow process: $dM(t)=rM(t)dt$ $dS_1(t)=S_1(t)(\mu_1dt+\...
3
votes
0answers
121 views

Pricing of future options

I have the following question on futures options: There is a Black’s model, which is a variant of the Black-Scholes formula that is used to price stock options. The Black’s model prices future options....
3
votes
0answers
90 views

What models are used for pricing cliquet options (esp. for Asian Equity underliers)? How good is Bergomi model?

What are the most common models, actually used by trading desks for Asian underliers, for pricing cliquet options? I would like to know both - (1) the production model used for daily P&L, and ...
3
votes
0answers
76 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 ...
3
votes
0answers
343 views

OTC derivatives trade life cycle

Can someone please walk through a typical OTC derivative trade life cycle? Or could you please provide a good source on that topic? ( I mean things like negotiation - trade execution - trade capture, ...
2
votes
0answers
64 views

Are there any studies on the link between energy markets and hedging-strategies for Cryptocurrency mining?

Full Disclaimer: I first asked this question on Bitcoin.SE, however I feel like my question is more relevant to this site as there would be wider knowledge and insight of some better sources or ...
2
votes
0answers
73 views

What makes modeling interest rate derivatives very difficult compared to equity derivatives?

I understand while equity derivatives require the modelling of stock price at expiry, interest rate derivatives typically require modeling both the expiry and tenor, thus increasing the dimensionality ...
2
votes
0answers
60 views

Estimate of basket volatility

We are looking for a simple way to calculate an approximation of the basket volatility for a set of baskets so that we can estimate which basket might produce the highest coupon in a standard ...
2
votes
0answers
31 views

Does equity premium puzzle affect option-implied RWDs using Arrow-Debreu equilibrium?

I am researching and learning about option-implied RNDs (risk neutral densities) and transformation to RWDs (risk world densities) using expected utility theory to compute risk aversion values. This ...
2
votes
0answers
65 views

What are the most difficult/computationally expensive/infeasible derivatives to price?

I'm not sure if this question has a concrete answer or if it's more of a fun game, but I suppose the question that does have a concrete answer is what's the most difficult instrument to value that has ...
2
votes
0answers
43 views

Local v/s global calibration for a Bermudan Option (calibrate co-terminals vs entire matrix)

I am quite new to rates modeling and I have a question on the pros and cons of calibrating to larger set of vanilla instruments v/s calibrating to an exotic's 'natural' hedges. For example, I could ...
2
votes
0answers
125 views

Delta Hedging Example

I was reading Dynamic Hedging by N. Taleb and in the chapter dedicated to the delta, there is this example of a trader position in options (one-month European call, flat yield curve, forward is ...
2
votes
0answers
75 views

What model do market makers in equity derivatives commonly use to price, hedge, and fit the IV surface?

What is the industry standard/common model used by market makers in equity derivatives to trade across the IV surface?
2
votes
0answers
150 views

Difference in utility of cap/floor and FRA

What is the difference in utility for cap/floor and FRA? To me their function looks very similar. Are they used for different objectives. One thing I know in difference is that the pay off for cap is ...
2
votes
0answers
65 views

Banks' use of written interest rate options

I study US commercial banks data. I look at the notional amounts of their different OTC interest rate derivatives for the recent years. When I look at non-dealer banks (i.e. end-users), I find that ...
2
votes
0answers
122 views

Bates Model Jump Percentage Parameters

I am trying to calculate the jump parameters for the Bates volatility jumps, specifically, the mean of the jump percentages, $\mu_j$. For the value of $J$, I am using jumps $|\frac{s_{i}-s_{i-1}}{s_{i-...
2
votes
0answers
103 views

How to determine expected returns of an options portfolio?

Lets say I have a delta neutral portfolio, iron condors on spy for example. I'm short a call credit spread and a put credit credit spread of equal widths. I would like to determine the expected ...
2
votes
0answers
75 views

Is there Carry Effect for Cash Settled Bond Future

As we know, physical settle bond future would expose carry effect which would be the deliverable bond coupon and your financing cost (cost of carry as a sum term). This is because it can be replicated ...
2
votes
0answers
236 views

Monte Carlo VAR with differente asset classes

I have found a very useful post regarding the use of Monte Carlo simulaton to obtain portfolio Value at risk, based on Cholesky decomposition, random variates, etc. This post I'm talking about is: Is ...
2
votes
0answers
1k views

Cash-or-nothing and Asset-or-nothing price derivation

I was wondering how to derive the price of a cash-or-nothing and asset-or-nothing option by trying to work out the expectation under the risk-neutral measure, while assuming that the underlying ...
2
votes
0answers
237 views

Exotic derivatives - Replication

I would like to replicate the payoff Max(0, Min(S1, K) - S2) with a combination of the following derivatives: -> option on S1, strike of our choice -> option on (S1-S2), strike of our choice -> A ...
2
votes
0answers
908 views

Multi-currency CSA discounting curve construction

I have a number of eur/usd and gbp/usd MtM Basis swaps that are collaterized in USD. For the non-usd legs I'm constructing the muti-ccy csa discounting curve. Im using forwards for the short end of ...
2
votes
1answer
355 views

Exercise Probabilities Vanilla Cap/Floor

When looking at the discounted pay-off formulas of a vanilla caplet and a vanilla floorlet $\frac{\Delta\tau}{1+r_k\Delta\tau}\max(r_k-r_{cap},0)$ $\frac{\Delta\tau}{1+r_k\Delta\tau}\max(r_{floor}-...
2
votes
0answers
211 views

Derivative and Credit Risk Modelling

I am looking at acquiring a system to help with multi-instrument modelling. Across the spectrum Equity/FI/Swap/Repo/CDS/FxSwap/Forward/Future/etc for vanilla and more complex derivatives. The modeling ...
2
votes
0answers
69 views

Literature to Learn about Different Instruments

What is a good source of literature to learn about the specifics of various instruments that are traded? For example, suppose I wanted to know more about MBS's, i.e. how exactly they are securitized, ...
2
votes
0answers
95 views

why many option contract price less than minimum boundary price?

I downloaded data from NSE(National Stock Exchange) website regarding closing price of European Call Option written on Index. From standard textbook, I read that option contract must satisfy $C(t) \...
2
votes
0answers
387 views

Weighted average implied optionlet/swaptions volatility

Let an implied volatility curve/surface is made up by optionlets or swaptions Black's implied volatility. If you wanted to price, say, a FRN with cap and/or floor, a CMS et cetera you would input the ...
2
votes
0answers
87 views

FRA-Strategy: Make 3-month and 1-year Excess returns comparable

I am trying to analyze an investment strategy that tries to exploit the empirical difference between forward interest rates and realized spot rates. I am using FRAs to capture the difference. I am ...
1
vote
0answers
64 views

Replicating portfolio in the Heston model

Given the Heston model $$dS_t=\mu S_tdt+\sqrt{\nu_t}S_tdB_{1,t}\\ d\nu_t=k(\theta-\nu_t)dt+\eta\sqrt\nu_tB_{2,t}$$ how should the replicating portfolio $V_t$ for the derivative $F_t$ be composed? I ...
1
vote
0answers
80 views

Valuing Option Credit Spreads

I'm trying to come up with a metric to value and compare spreads. One way that I was doing this was to compute the Expected Value of the spread. To calculate the expected value I used the following ...
1
vote
2answers
91 views

Bid Price of a Forward?

Say I am a market maker. The ask (me selling it) formula is pretty common in textbooks etc by no arbitrage: $$F = S \cdot \text{exp}(r-d)$$ where $r$ is interest rate and $d$ -- dividend. Again, by no ...
1
vote
0answers
64 views

Cost of shorting currencies

I thought cost of hedging/going short on a currency with a forward was given by F/S-1 but it seems the author states 0.25% (see below). Am I missing anything (transaction costs, balance sheet costs, ...
1
vote
0answers
45 views

CMS Convexity adjustment with negative interest rates

I need to price bonds with CMS-linked coupons. In order to determine the convexity adjustment to apply to the forward rates, I would use the formula that appears in Hull's Futures, Options and other ...
1
vote
0answers
46 views

How To Create Daily Leverage?

After doing some analysis on daily leveraged funds one of the biggest risk factors I find is regulatory risk. My goal is to have a risk parity portfolio with daily leveraged funds but if some of these ...
1
vote
0answers
59 views

Options pricing model inversion

He cited about Roll's compound formula for finding the lead-lag effects between stocks and options. I have a similar data for National Stock Exchange's Index, NIFTY but it's daily, not intra-day. I ...
1
vote
0answers
40 views

Fourier transform of price function

If the expiry value is given by $f(x,T) = e^{-c x}$ for $x \ge a$ and 0 otherwise and c is a +ve constant, prove that in the Fourier domain: $$ (c + j \omega) F(\omega, 0) = e^{-rT} e^{-a(c+j\omega)}...
1
vote
2answers
185 views

What to do if certain parameters are not market observable?

Lets say I have no clue on correlation between 2 equities in the market (i.e. i don't have an observable market price). What is the best way to go about marking this correlation for lets say the best ...
1
vote
0answers
15 views

Balance sheet items which might show exposure to hedging or the prevalence of forward contracts

I do have a panel data set on North American companies from Compustat covering balance sheet and income information. I am wondering if there is a possibility to use a balance sheet variable as an ...
1
vote
0answers
81 views

Trading options - real life vs. textbook?

I'm a Management with Finance student and we have recently learned about options. Because I find it easier to learn these things when I have some context to apply them to, I put $100 in my brokerage ...
1
vote
0answers
71 views

Application Itô's Lemma: Forward to Spot process

I am working on the following equation (I want to apply Ito's lemma on it): and I know that: and also and My problem is that I want the dynamic of F(S,T) without S because I need first to ...
1
vote
0answers
112 views

Calculate upper bound for put option prices?

I need to know historical option prices for backtesting. The problem is I don't have such historical data. Is there a way to calculate the upper bound for out of money (American) put option selling ...