# Questions tagged [pricing-formulae]

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### 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 ...
50 views

### 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 ...
1 vote
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### 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 ...
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..
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### Properties of the American derivative security price process

$$\newcommand{\cbkt}{\left\{{#1}\right\}} \newcommand{\rbkt}{\left({#1}\right)} \newcommand{\sqbkt}{\left[{#1}\right]}$$ Shreve volume I, defines an American derivative security as follows: ...
41 views

### Calculate the amount of shares of a deposit without converting to numeraire

Let F a mutual fund with two assets A and B. Initially, F contains 1 unit of A, 1 unit of B, and there is 1 share allocated to Alice. At a later time, Bob deposits 2 units of A into F. How can I ...
87 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: ...
424 views

### 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 ...
1 vote
182 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, ...
95 views

### 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} ...
1 vote
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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 ...
1k 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.
1 vote
451 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. ... 101 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 $K=150$)...
114 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 ...
1 vote
219 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, ...
284 views

### 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+...
1 vote
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 ...
225 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,...
5k 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 ...
1 vote
67 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 ...
163 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 ...
1 vote
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### Bond and Stock Relationship

Is there any formulair relationship between the price of a corporate bond and the stock on the same company?
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### 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 ...
915 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 ...
157 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 ...
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 ...
187 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, ...
1 vote
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 ...
32k 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 ...
463 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 ...
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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-...
279 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: $\exp \left\{ -1.96\sigma \sqrt{t}+(\mu-0.5 \sigma^2)t \right\}$, ...
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 ...
521 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 $1 d$- ...
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### 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, ...
761 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-...