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Questions tagged [forward]

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15
votes
2answers
14k views

Why using 3 months forward to hedge fx risk on a fund of funds portfolio?

In my previous job, a fund of funds, they used 3 months forward FX contracts (renewed every 3 months) to protect their portfolio against currency risk. If I do understand why forwards are useful for ...
13
votes
2answers
666 views

Implied term structure from risky discount curve: does it make sense?

We know that, taken every discount curve, it's possible to calculate its forward rates according to our tenor preferences. We know also that it's actually possible to extract an implied term ...
11
votes
1answer
2k views

What do eigenvalues/eigenvectors of the yield/forward rates covariance matrices mean?

I have 5 bonds (with maturities 1,2,3,4,5 years) which I calculated the yield curve for 10 days. I also calculated the forward rates from the yield rates. Now I've been told to calculate the ...
8
votes
1answer
2k views

How to calculate the CVA of a forward contract?

I am having trouble calculating the CVA of a forward contract. The question is presented below Question: There exists a long forwards position underlying on gold with 2 years remaining. The ...
8
votes
1answer
4k views

How to calculate a forward-starting swap with forward equations?

I have been trying to resolve this problem for some time but I cannot get the correct answer. The problem is the following one. Compute the initial value of a forward-starting swap that begins at ...
8
votes
0answers
611 views

compute time from FX forward, how use DEPO rates?

assume I have following delta-term vol data from broker: ...
6
votes
1answer
112 views

Principal Components Analysis on overlapping contracts

I am conducting several PCAs on the gas forward curves (months, quarters, seasons, calendars) for hedging purposes which give me some rather reasonable and stable results. However, these contracts ...
6
votes
1answer
20k views

Implied interest rate from FX swap

This is not homework. I am trying to calculate the implied interest rate of one currency (C2) using an FX swap and the interest rate of another currency (C1 - base). I have the following: Spot: 7....
6
votes
2answers
1k views

VaR mapping - Forward Foreign Currency Contract

I have a question about VaR mapping for FX forwards. Please bear with me while I outline the problem. Philippe Jorion's book discusses VaR mapping; a means to break down complex instruments into ...
5
votes
1answer
3k views

Convexity Adjustment for Futures

Let $B_t$ be the cash account numeraire. The future and forward prices at time t are expressed as: $$ Fut = E_t^Q\left[S_T\right],$$ $$ Fwd = \frac{E_t^Q[S_T/B_T]}{E_t^Q[1/B_T]}.$$ Where $$ \frac{...
5
votes
1answer
292 views

Prove arbitrage opportunity

The continuously compounded interest rate is $r$. The current price of the underlying asset is $S(0)$ and the forward price with delivery time in 1 year is $F(0,1)$. Short selling of the stock ...
5
votes
3answers
3k views

Cross Currency Swap pricing

I have seen two methods for calculating the value of a xccy swap - 1) Convert the future foreign payments to the base currency using forward FX rates, net with the base currency payments and ...
5
votes
1answer
134 views

BlackProcess' constructor $x_{0}$ argument in QuantLib

I am currently using BlackProcess to price options and I have a doubt related to the $x_{0}$ argument of the constructor: I've figured out it should be the forward ...
5
votes
2answers
520 views

Valuation of open FX-Forward

So called closed FX-Forwards are well known forward contracts where some amount of foreign currency is bought at a specified date in the future for a price fixed "today". Such contracts can be ...
5
votes
1answer
482 views

FX Forward pricing with correlation between FX and Zero-Cupon

I would like to extend my question about about FX Forward rates in stochastic interest rate setup: FX forward with stochastic interest rates pricing We consider a FX process $X_t = X_0 \exp( \int_0^t(...
5
votes
1answer
1k views

How does the 2-factor Hull White model propagate the forward rates curve?

I've been trying to get a grasp on some of the basics of interest rate modeling, and am looking to simulate rates using the 2 factor Hull White model, which I am aware offers a more realistic model of ...
5
votes
0answers
306 views

EUR/PLN and EUR/USD delta-term-vol surface quoting convension

does anyone know for sure what is the FX market convension to quote delta-term pairs for EUR/PLN, for EUR/USD. I know that for EUR/PLN it should be delta p.a forward, for EUR/USD it should be delta ...
4
votes
2answers
303 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 ...
4
votes
3answers
542 views

Volatility and Counterparty risk for FX Forward

How does the change in FX volatility affect the counterparty risk of an FX-forward? Should it not be riskless since the forward itself is "protecting" the exchange rate fluctuations?
4
votes
1answer
423 views

meaning of discount term in FRA value

Consider a forward rate agreement on LIBOR (say), which starts 2 months from now, expires after 3 months and has strike $K$, and is based on $3M$ LIBOR -- $FRA_{2\times 5}$. Now the present value of ...
4
votes
1answer
7k views

Equivalency of FX forwards and FX basis swaps for risk-management purposes

Can one deem an FX float-to-float swap and a FX forward equivalent on dates immediately after repricing? The reason I am asking, I am hedging something that can be modeled via an FX forward, I was ...
4
votes
4answers
4k views

Simple value of a Forward contract at an intermediate time question

I am taking "Financial Engineering and Risk Management Part I" from Columbia University on coursera and I got a seemingly simple question wrong on the first quiz. This is all based on the no-arbitrage ...
4
votes
1answer
4k views

How to derive Black's formula for the valuation of an option on a future?

I've got a question about 1976 Black Model and Bachelier model. I know that a geometric brownian motion in the P measure $dS_{t}=\mu S_{t}dt+\sigma S_{t} dW_{t}^{P}$ for a stock price $S_{t}$ leads (...
4
votes
1answer
619 views

HJM simulation problem

I'm trying to simulate a 3-factor HJM model. I got the algorithms from Glasserman book. In my case, I have $3$ maturity:$ 0.25y, 0.5y, 0.75y$. So my time grid is: $t_0=0,t_1=0.25,t_2=0.5,t_3=0.75$. ...
4
votes
0answers
150 views

VAR FPCA analysis paper replication

I've been trying to replicate the following publication: CONSISTENT FUNCTIONAL PCA FOR FINANCIAL TIME-SERIES, Sebastian Jaimungal, Eddie K. H. Ng, 2007 but I havent been able to get the same results ...
3
votes
1answer
13k 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 ...
3
votes
3answers
588 views

Construct option and stock portfolio

If a riskless security costs 100 today and will cost 120 at time T, a stock costs 50 today and will either be 70 or 30 at time T, and call options on the stock have strike price 50 expiring at time T, ...
3
votes
3answers
3k views

Relationship between forward and option prices

Do forward prices factor into option prices at all? It seems to me from Black-Scholes that you just need a spot price and interest rate r. I understand that $F_t = S_0 e^{r t}$, but I don't know if ...
3
votes
3answers
335 views

Why is the spot price not used as the forward price when a forward contract is created?

If the initial value of a forward contract is zero, surely the forward price used would be the spot price at the time the contract was created? However, my notes tell me that the forward price F, at $...
3
votes
2answers
1k views

Price a forward contract on a zero-coupon bond

I'm trying to calculate the price of a forward contract on a zero-coupon bond (ZCB). The forward contract matures at $t_1$ and the ZCB matures at $t_2$. So is the price of the forwards contract just ...
3
votes
1answer
2k views

EuroDollar vs FRA

I am not quite clear about this. When people mention Eurodollar are they mean Eurodollar Futures? One of the difference between Eurodollar and Forward Rate Agreement(FRA) is basically difference ...
3
votes
2answers
4k views

FX forward curve building

Can someone explain which curves are used to calculate FX forward rates? I have the idea that it involves using the local OIS curves for both currencies, but my calculation shows that it is not the ...
3
votes
2answers
3k views

IMM Swaps vs. Forward Swaps

Could we think of IMM dated swaps as forward swaps (since they trade only on specified dates and they might not be the current date)? For example, today is June 2nd, the next IMM swap is June 14 (not ...
3
votes
2answers
323 views

Pricing forward contract on a stock

Please tell me where I've gone wrong (if I did in fact make a mistake). I'm pricing a long forward on a stock. The usual setup applies: This has payoff $S(T) - K$ at time $T$. We are at $t$ now. $S(...
3
votes
1answer
73 views

Pricing an Asian style forward contract with early exercise feature

Is there an analytic way to price or approximate a contract with payout $A_t - K$, where $A_t$ is the running average price of the underlying asset from $[0, t]$ and $K$ is (fixed) strike. If this ...
3
votes
1answer
1k views

How to compute the forward price using a replicating portfolio?

I post this question here as I didn't receive an answer in the Mathematics community. I am trying to understand how replicating portfolios can help us determine fair prices. Suppose we have a 3-year ...
3
votes
2answers
740 views

How to calculate this swap rate

What is the 2x5 swap rate? here 2x5 swap rate refers to the 3-year swap, 2 years forward.
3
votes
2answers
2k views

Trading physical gold vs XAU

What is the difference between trading physical gold forwards and XAU/USD forwards? Why are both traded? The physical gold forward would obviously be settled physically, but how is an XAU/USD settled, ...
3
votes
1answer
961 views

the difference between forward price and future price

In Hull's book 'Options, Futures and Other derivatives', author said that when price of underlying asset S is strongly positively correlated with the interest rate, future price is slightly larger ...
3
votes
0answers
596 views

The effects of “cost of carry” and “convenience yield” in pricing futures and forwards

I understand that time-varying interest rates, “cost of carry” and “convenience yield” will have an effect on forward and futures prices but why would it affect the prices of forwards relative to ...
3
votes
0answers
415 views

Forward Credit Spreads

I have a beginner question in credit quantitative modelling. I would like to know how we can derive forward credit spread curve, i.e the counterparty of forward yield curves. Indeed, for deriving a ...
3
votes
4answers
6k views

Calculate theoretical forward price of a stock

The current price of a stock is USD400 per share and it pays no dividends. Assuming a constant interest rate of $8% $ compounded quarterly, what is the stock's theoretical forward price for delivery ...
2
votes
2answers
125 views

Nature of short VIX strategies

By now, we all pretty much know that the recent upsurge in the VIX Index caused the spectacular failure of some Exchange-Traded Products (ETPs) or Exchange-Traded Notes (ETNs) written on it. An ...
2
votes
1answer
234 views

Stochastic Interest rate spot forward relationship

For a stock that pays no dividends, and has constant interest rates, I know that the relationship can be described with: $F(t) = s(t). e^{r(T-t)}$ F(t) = Forward price, S(t) = Stock price, r = risk ...
2
votes
1answer
173 views

Characteristic functions for options on futures

Using simple delta-probability decomposition, the price European call options a non- dividend paying asset can be computed as \begin{equation} C(T,K) = {S_0}{\rm{ }}{\Pi _1} - {e^{ - rT}}K{\rm{ }}{\...
2
votes
1answer
88 views

forward option, stochastic calculus

I encounter a problem to understand this: The price of a forward option is : $C(K,t,T)=\mathbb{E}[((S_{T}/S_{t})-K)+]$ OK The option should only depend on $T-t$ because the yield randomness (for a ...
2
votes
1answer
66 views

Computing FX forward returns using spot returns and an existing term structure

Sorry for the naive question, I am new to the area. I have YTD spot returns on the USD/GBP pair and a forward yield curve. How would one go about computing the forward returns in 2 years using this ...
2
votes
1answer
297 views

AUD Forward Rate Agreement and Forward Curve Bootstrapping

The pricing between an Australian Forward-Rate-Agreement is different compared to the US one. The question is whether this is somehow included already in the Quantlib? Also how does it compare to the ...
2
votes
1answer
1k views

Delta of a Commodity Future

Generally the price of a future is $ F(t,T) = S(t)e^{r(T-t)}, $ and it's delta is: $ \frac{\partial F}{\partial S} = e^{r(T-t)}. $ (As opposed to the delta of a forward which is always one.) In ...
2
votes
1answer
531 views

Why AREN'T forward rates what the market expects of the spot rates?

I know that for a swap for example, the swap rate is just what adopts equilibrium for both legs by no arbitrage, on the other hand for a FRA its just the same only with one period of time. Considering ...