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Range Accrual pricing calculation

There is a discussion in https://www.investopedia.com/terms/r/rangeaccrual.asp which basically states how the CF from a Range Accrual would be determined. I wonder if there is any standard pricing ...
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1 answer
113 views

How to Correctly Price Currency Forwards/Futures [duplicate]

I am trying to understand how to price a forward contract on the GBP/USD currency pair and then compare my answer with current future prices on GBP/USD. If my understanding is correct I believe we ...
user71149's user avatar
2 votes
0 answers
56 views

Shreve multiperiod binomial model

In Section 1.2 in Shreve's Stochastic Calculus for Finance I, he introduces the Multiperiod Binomial Model. There is something about it that I don't quite understand. He assumes that coins are tossed ...
Lanazo's user avatar
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Option Payoff in Different Currencies

In the stackexchange answer Change of numeraire in options with currency exchange features Pratically speaking, what this expresses is that these two things are the same: Converting the payoff (which ...
Julie Taylor's user avatar
1 vote
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37 views

Foreign equity call struck in domestic currency

I'm trying to get a solution for the foreign equity call struck in domestic currency, where the foreign equity in domestic currency is defined as $S=S^fX^\phi$ with $0<\phi<1$, instead of the ...
user67642's user avatar
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71 views

Theta Greek Max Curvature [duplicate]

how to solve it for max Theta Curvature? i'm looking for the pure math glyph formula.. it may be related to actually 3rd deriva & curvature function..
xelvet's user avatar
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2 votes
0 answers
37 views

Properties of the American derivative security price process

$$ \newcommand{\cbkt}[1]{\left\{{#1}\right\}} \newcommand{\rbkt}[1]{\left({#1}\right)} \newcommand{\sqbkt}[1]{\left[{#1}\right]} $$ Shreve volume I, defines an American derivative security as follows: ...
Quasar's user avatar
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-2 votes
1 answer
89 views

Special Exotic Option Pricing Approach [closed]

I am currently stuck with the following problem: You need to price the following exotic option, where the share price of Stock ABC is the underlying: • Time to maturity: 2 years • Right to exercise: ...
Donte's user avatar
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2 votes
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Interesting finding... "Adjusted Kirk's" and "Bjerksund-Stensland" are exactly the same ??? Spread option calculation

This is more of an academic question. The results are SO close, I think they are ACTUALLY THE SAME FORMULAS. So someone published a paper with a "new" method to adjust Kirk's formula to ...
Matt's user avatar
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1 vote
2 answers
183 views

Pricing of LIBOR based CF settled after the LIBOR fixing by switching from risk-neutral to forward-neutral measures

When deriving the LIBOR-based swap rate formula in any interest rate model, expressions of the following types appear naturally: Literature tells us that, switching to the – forward neutral measure, ...
finfree's user avatar
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2 votes
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Pricing formula under a new risk-neutral pricing measure:

From the fundamental asset pricing theorem, we know that in the absence of arbitrage opportunities, the present value of an asset paying $\Psi(X)$ at maturity time $T$ is given by: \begin{equation} ...
user53249's user avatar
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How to calculate the theoretical price of a forward in CHF on a stock index future in EUR?

I am looking for a pricing model of the following contract, which is basically a forward contract, maturity in 3 month with some sort of strike on a (equally weighted basket of) stock index futures in ...
T123's user avatar
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2 answers
2k views

How is calculated the futures/forward convexity adjustment for FX?

I could find lots of stuff online for IR derivatives but it seems there isn't too much on FX for this specific adjustment.
Student's user avatar
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1 vote
1 answer
540 views

Pricing of forwards contracts

Of the courses I am taking in college this semester, two are Financial Mathematics and Derivatives. In each course, we learn different formulas to calculate the forward price of a forward contract. ...
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1 answer
102 views

Misconception about replicating portfolio [closed]

I am solving a problem in which following payoff is provided: With $S_0=100$ and $T=8$. Looking at the payoff it seems obvious that it is replicated with two european put options ($K=100$ and $K=150$)...
Gaussian's user avatar
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1 answer
117 views

FX futures valuation under negative rates

Market participants use negative interbank rates (LIBOR JPY/CHF) for the valuation of FX futures. Does this make any economic sense? Positive rates in valuation formula indicate opportunity cost of ...
Kirill's user avatar
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1 vote
3 answers
292 views

Are there really closed-form pricing formulas? [closed]

Good morning to all, I wanted to post this question here hoping to have more details. The concern, in my opinion, comes from the fact that the concept of "closed-form" is not clear. Because, ...
KACEFMA.'s user avatar
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1 answer
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Is the pricing formula for FX Forwards the same for FX Swaps?

If I use fwd_price = S*(1+r_term)/(1+r_base) to determine the theoretical value of a forward, how should I tweak the formula to price a FX swap? Assuming swap = fwd-spot, swap_price = S*(1+r_term)/(1+...
Student's user avatar
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1 vote
0 answers
58 views

Forward contract on a given financial product $P$

I would like to know whether my reasoning is correct or not. Let $\pi_t$ be the price of a financial product $P$. The forward associated to a forward contract on $P$ that settles at time $T$ is given ...
DeepInTheQF's user avatar
5 votes
1 answer
261 views

FX Call under stochastic rates and deterministic volatility

Lets denote $S_t$, $r^d_t$,$r^f_t$ respectively the FX spot, the domestic rate and the foreign rate at time $t$. Lets $\mathbb{Q}^d$ , $\mathbb{Q}^f$ respectively be the domestic and foreign mesures,...
DeepInTheQF's user avatar
4 votes
3 answers
6k views

How to price a phoenix and snowball type autocallable options?

I'm currently studying the pricing of autocallable options, especially snowball (accumalated coupon) and phoenix (accumlated coupon, but the coupon may also be autocalled if the underlying price ...
HenryLiu's user avatar
1 vote
1 answer
68 views

Transactional costs for shipping in % based on futures market price

Real case: Imagine I want to move an oil from one terminal to another. I have about 20 +/- tanker companies, but all of them have max capacity on their top deadweight (DWCC) vessel about ...
AlexZeDim's user avatar
  • 221
4 votes
2 answers
166 views

Why do we need approximation in option pricing?

We know that we can get a closed form for European option price. And we can calculate directly the normal distribution accumulation. But I saw that people use many approximation methods such as ...
David Nguyen's user avatar
1 vote
1 answer
83 views

Bond and Stock Relationship

Is there any formulair relationship between the price of a corporate bond and the stock on the same company?
ABIM's user avatar
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0 answers
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How is this steel price implied based on enterprise value-to-Ebitda?

How was the steel price of $650 per ton calculated based on the forward-looking enterprise value-to-Ebitda in this Bloomberg news article? https://www.bloomberg.com/news/articles/2018-03-23/tariff-...
curious's user avatar
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2 votes
0 answers
186 views

Barrier Option with Time-Dependent Rebate

Is there a closed form solution for American Single-Barrier Options (specifically Down-and-Out Calls) which undergo linear principal amortization based on the amount of time passed before being KO'ed? ...
Andrew's user avatar
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1 vote
0 answers
91 views

Bond prices tend to 100 at maturity?

Let's assume we have a fixed-income bond, which is paying a yearly coupon. For example a 3 year bond, 1% fixed coupon, issued at par. So we have at issue -> $Price=\frac{1}{(1+0,01)^1}+\frac{1}{(1+0,...
Castore's user avatar
  • 11
1 vote
1 answer
293 views

CDS protection/contingent leg pricing, taking expectation of interest and hazard rates

The Pricing and Risk Management of Credit Default Swaps, with a Focus on the ISDA Model Screenshot: Pricing protection leg of a CDS, by OpenGamma In the screenshot above, I am having trouble ...
Vivek Patel's user avatar
0 votes
2 answers
979 views

Pricing an open repurchase agreement

I am wondering, how do you price a open-ended repo (when a maturity date is not set)? I have done some research and have found no formula's or even an explanation of how to value such a repo. In ...
Vivek Patel's user avatar
0 votes
2 answers
166 views

Is "interest" positive or negative in the "free cash flow to firm" model?

FCFF = net income + non-cash charges + interest x (1 - tax rate) - long-term investments - investments in working capital My intuition is: if the company is receiving interests payments, then the ...
High GPA's user avatar
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4 votes
3 answers
1k views

Valuation of a swap where both parties can cancel (not settle at market) with accrual method instead of present-value?

Consider a single-name total return swap (TRS) on some reference asset $S$. For concreteness, suppose the length of the contract is one year with quarterly resets, and the performance of $S$ is ...
Sargera's user avatar
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0 votes
1 answer
193 views

How to price a forward struck contract today by changing from a $T>T'$ forward measure to $T'$ forward measure at time $t<T'<T$?

Suppose that the payoff of some contract is $V_{T}=S_{T}-S_{T'}$ where $T'<T$ and we want to value the contract at time $t<T'$ (the situation where this arises could be a total return swap, ...
Sargera's user avatar
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1 vote
0 answers
38 views

in long term options on equities, what is the greek used for security lending rate, and what formula do you use?

in long term options on equities, what is the greek used for for security lending rate, and what formula do you use? would it often move contrary to moves in risk free (ois) and so in practice is it ...
Randor's user avatar
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10 votes
2 answers
35k views

Formula for forward price of bond

What is the formula for the forward price of a bond (assuming there are coupons in the interim period, and that the deal is collateralised) Please also prove it with an arbitrage cashflow scenario ...
Randor's user avatar
  • 786
3 votes
1 answer
474 views

Dupire's formula proof

I just have a question for the beginning of a proof: Suppose $\frac{dS_{t}}{S_{t}}=(r_{t}-q_{t})dt+\sigma(t,S_{t})dW_{t}$ with $r,q,S$ stochastic. In the book I read, it is written: We define the ...
glork's user avatar
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2 votes
2 answers
764 views

Stochastic volatility

Suppose we have : $\frac{dS_{t}}{S_{t}}= \sigma dW_{t}$ with $\sigma_{t}$ a stochastic volatility process. How to compute $\mathbb{E}^{Q}[(S_{T}-K)+]$ ? Is there a BS alike formula : "$S_{0}N(d+)-Ke^{-...
glork's user avatar
  • 617
2 votes
1 answer
123 views

Pricing of American Deriviatives

Reading the book by Andrea Pascucci "PDE and Martingale Method in Option Pricing" I am struggling with a very simple issue. Suppose we want to find the price of an American derivative $X$ in an ...
AlmostSureUser's user avatar
2 votes
2 answers
247 views

Where to find pricing formulas for affine stochastic volatility jump-diffusion models?

Does anyone know a reference where I can find the pricing formulas for vanilla calls in the affine stochastic volatility jump diffusion class of models such as SVJ and SVJJ? I am looking for ...
user11881's user avatar
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0 votes
1 answer
63 views

What are the technical events that fluctuate quoted asset (e.g. forex) prices? How does it relate to the purchase of currency contracts?

This is a generic question about the quotations of assets but for the sake of reducing ambiguity, let's consider the EUR/USD exchange rate. If the answer varies for other asset classes, please note ...
meta's user avatar
  • 11
1 vote
1 answer
502 views

Implication of the Greeks under jump diffusion model

Consider jump diffusion model proposed by Merton and Kou. As far as i know, most paper only dealt the valuation of option under the jump diffusion model. As i expected, because of the ...
user155214's user avatar
7 votes
1 answer
467 views

What is a good Computer Algebra System for financial engineering?

I would like to know if there exists some computer algebra systems adapted to calculate pricing based on particular models, i.e. pricing YoY Inflation Swap under Jarrow Yildirim Model. I know that ...
Mitch76's user avatar
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4 votes
4 answers
8k views

What is the Most Efficient Way to Calculate the Internal Rate of Return IRR?

I have built a program that prices financial assets and it does this in part by calculating the IRR. The problem is that it does not run as quickly as I would like it to. I currently use the Newton-...
Jamie1596's user avatar
1 vote
2 answers
249 views

Is stock price priced in the uncertainty?

Consider a one step binomial tree model for stock price. The classical setup is as below: At time $t=0$, the stock price is $S_0$. At time $t=1$, the stock has probability $p$ to jump up to price $...
athos's user avatar
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9 votes
1 answer
7k views

Documentation of the ISDA CDS standard model

I have to validate the use of the ISDA CDS standard model. Don't understand me wrong - I am sure that the ISDA model is "good" I just need to know what it is in detail. I can download an Excel-...
Richi Wa's user avatar
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2 votes
2 answers
280 views

Question on an approximation in pricing formula

I am reading the book An Introduction to Financial Option Valuation. The following on page 58 makes me confused: For the formula: $\exp \left\{ -1.96\sigma \sqrt{t}+(\mu-0.5 \sigma^2)t \right\}$, ...
Hebe's user avatar
  • 23
2 votes
5 answers
2k views

How to price an exchange option using B&S framework?

Consider a market composed by two stocks whose prices $X$ and $Y$ are given by B&S diffusion: $$dX_t= \mu X_t dt+ \sigma X_tdW_t$$ $$dY_t= \mu Y_t dt+ \sigma Y_tdB_t$$ Supposing the market is ...
Paul's user avatar
  • 608
5 votes
2 answers
536 views

Foward-start option pricing

Consider a probability filtred space $(\Omega, \mathcal F, \mathbb F, \mathbb P)$, where $\mathbb F = (\mathcal F_t)_{0\leq t\leq T}$ satisfing the habitual conditions and is generated by $1 d $- ...
Paul's user avatar
  • 608
8 votes
2 answers
839 views

Is there a comprehensive reference book on US fixed income conventions?

In Canadian fixed income markets there is a nice handbook called Canadian Conventions in Fixed Income Markets (PDF). It contains detailed market standard pricing formulas for calculating prices, ...
ikh's user avatar
  • 402
10 votes
3 answers
776 views

Is it possible to demonstrate that one pricing model is better than another?

Take the classic GBM (geometric Brownian motion) model for equities as an example: ds = mu * S * dt + sigma * S * dW. It is the basis for the classic Black-...
athos's user avatar
  • 2,231
13 votes
5 answers
7k views

How to obtain true probabilities from Black-Scholes?

How to obtain true probabilities from Black-Scholes option pricing equation? Suppose, that we know risk adjusted discount rate for the underlying asset (the drift term in the physical measure) and ...
Sergei's user avatar
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