Questions tagged [forward]

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1answer
162 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, ...
2
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1answer
116 views

optimize gas storage schedule based on forward prices

I am solving some interviewing questions regarding gas storage optimization. I am given a gas storage facility with volume, rate of injection and withdrawal, as well as a current forward curve of gas ...
9
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1answer
21k 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 ...
2
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1answer
278 views

Computing Correlation between Forward Rates

I have the feeling this question has an extremely simple answer but I'll put it out to the group anyway. Imagine I have data for 3M and 6M forward rates following a lognormal process, and that I ...
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3answers
1k views

Calculating FRA rates

Let's assume I constructed usd libor 3M curve setting 1M rate=3M rate (so the curve is flat between 1M-3M). Will 1x4 FRA rates be good if calculated from such curve?
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1answer
728 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(...
4
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0answers
168 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 ...
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1answer
171 views

How does this statement about the price of a prepaid forward on a stock follow?

I am self-studying for an actuarial exam on financial economics. This statement in the following problem/solution seems to imply that the prepaid forward price on a stock is the same as the prepaid ...
9
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1answer
3k 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 ...
5
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3answers
5k 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 ...
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2answers
1k 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.
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2answers
214 views

Pricing a physical commodity forward contract

I have just started reading Options Volatility and Pricing 2nd edition and I'm a little confused on forward contract pricing. The book states ...
4
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2answers
353 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 ...
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3answers
1k 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, ...
5
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1answer
478 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
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2answers
7k 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 (...
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1answer
1k 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 ...
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1answer
124 views

Faster way to backtest/Walkforward

I am currently using Ninja Trader to program and test my strategies and the forward testing in very time intensive. I am thinking of writing my own code in either c++ or c#. The question I have is ...
1
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1answer
372 views

Is an FX forward with delayed settlement still a derivative?

As an example: Trade date: 1/1/16 Maturity date: 2/29/16 Settlement (exchange of currencies) 3/31/16 Is the instrument between 2/29 and 3/31 still deemed a forward? The forward rate is determined so ...
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1answer
2k 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 ...
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1answer
170 views

Derivatives (Forex Forward) [closed]

Good day, Please, consult me about Forex Forward Swap (Ex. pair USD/RUB). I am trying to calculate and cant understand, how it works. For example: I have: USD/RUB Fwd points 3M - 19650/19950 IR - 10....
4
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5answers
10k 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 ...
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1answer
144 views

Why is the forward rate used for the underlying in Black's model?

Why is the forward rate suitable for being used as the underlying in Black's model? Thanks
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2answers
913 views

Pricing Forward Start Option with PDE

I am looking for references (books and papers) or suggestions on how to price forward starting calls using a PDE approach typically in the Heston model (In the BS world, the computation is trivial), ...
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1answer
116 views

How to Calculate Return Option with Forward Measure

I am trying to computing the price of an option at time $t$, with payoff $X = \frac{S_{T_2}}{S_{T_1}}$, at time $T_2$, where $t < T_1 < T_2$. Here how I compute it: Using the forward measure $...
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1answer
1k views

Zero Coupon Bond Forward Price

I'm currently working on the Coursera Financial Engineering and Risk Management course. In one of the questions I was asked to build a binomial pricing model for fixed-income securities. Specifically ...
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1answer
80 views

Finding circumstances for price of call = price of put

Here is a problem in Hull's book and the given solution: My approach was to compute the profit $\pi = \pi_{SP} + \pi_{LC}$ (short put, long call). One can show that $\pi = \pi_{SP} + \pi_{LC} = S_T -...
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0answers
53 views

Why is the forward price set to make the value of the forward contract to 0 when it is signed? [closed]

When I study the forward contract, I read that the forward price must be the price that makes the the value of the contract zero. I searched for the answer, but there are many versions. Some say it ...
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1answer
4k views

Why does increased stock borrow costs decrease a stock's forward price?

The author in this article -- http://streetwiseprofessor.com/?p=7294 -- states that an increase in stock borrowing costs decreases a stock's forward price: In the absence of manipulation, the ...
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2answers
858 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 ...
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3answers
390 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 $...
2
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1answer
131 views

Forward parity in fixed income

In stock and index we have a beautiful forward-spot parity $$ F(t,T) = S(t)\cdot B(t,T) \tag{1} $$ which tells us that to price a forward contract at time $t$ with expiry $T$ we can just borrow ...
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0answers
2k views

Carry Trade vs synthetic Carry Trade using forward contracts

When it comes to foreign exchange carry trade strategy, the definition is straightforward: an investor borrows 1 US-\$ in the US (low interest country) and invests that \$1 to AU (high interest ...
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0answers
72 views

How should I use central banks rates in order to compute 2-day forward exchange rate on EURUSD

Good morning, I would like to compute a 2-day forward exchange rate on EURUSD. For that, I have historical data on EURUSD spot price, and I know that theoretically, when maturity is T we have : $F_0$...
2
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1answer
106 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 ...
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2answers
1k views

Does a forward price have a drift component in any measure?

Going by intuition, a forward price should already take into account the drift in the underlying price process. Further, assuming interest rates are deterministic, the stochasticity in the forward ...
1
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1answer
545 views

Forward Curves and Par Yield Curves

I'm recently reading a research paper on the yield curve by Salomon brothers and in it it states that when the forward curve is above the par yield curve, it is seen as cheaper. If for example, the ...
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0answers
169 views

forward curve and cap/floors in nowadays environment

I'm currently trying to get the implied volatility of a vanilla Euro floor with maturity 1Y with data from bloom. I have the price ( which is not supposed to take into account the first floorlet ...
2
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1answer
339 views

What is the filtration described?

What is the filtration $(\mathfrak{F}_t)$ encircled below? Is it $(\mathfrak{F}_t) = (\sigma(W_t)) = (\sigma(\tilde{W_t})), t \in [0,T]$? Or is it $(\mathfrak{F}_t) = (\sigma(\hat{W_t})), t \in [0,T]...
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1answer
111 views

Differential equation involving bond price and forward rate

Given forward rate f(t,T) and bond price P(t,T) where $f(t,T) = - \frac{\partial}{\partial T} \ln P(t,T)$, $P(T,T) = 1 = P(t,t)$, T>0 and $t \in [0,T]$ Does it follow that $P(t,T) = exp(-\int_{t}^...
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1answer
4k views

How can an FRA create arbitrage opportunities?

I'm working through Options, Futures and Other Derivatives (beginner trying to understand investment banking). I've more or less followed the discussion of interest rates, forward rates and forward ...
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4answers
6k 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 ...
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1answer
6k 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 ...
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1answer
197 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 ...
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1answer
238 views

Replicate by Arbitrage price of a forward

Given market(Mid): 1- USD Swap market (fixed for float). Float leg pays 3MLibor quarterly, act360. Fixed Leg pays annually, act360. Market is trading mid at 1.125%. 2- TIIE market. Fixed for ...
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1answer
88 views

Bond Interest Rate Swap Growth Rate [closed]

this should not be here because it shouldn't be here forever and eve
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1answer
214 views

Interest rate on loan for purchasing Sterling bond

I am struggling trying to find out where they get the $8$% interest rate for the loan you make to purchase the Sterling Bond in the following strategy: Problem: Suppose that $A(0)$ = $100$ and $A(1)$...
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1answer
1k views

Hedging future USD cost using different IR and forwards

I am facing a problem where I suppose an expense in 6 months from now of 2,500USD. My home currency shall be EUR, and I am trying to hedge given the following information. ...
2
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1answer
620 views

hedging with a 3 month fx forward every month

I think this is a bit odd question. Let us say I want to hedge my fx exposure every month but using 3 month forwards . How can I do that ? Is it not easy just to use 1 month forwards ? I recalculate ...
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2answers
913 views

Impact of NZD mid-day EST Roll forward

Was taking a look at an NZD spot deal that was traded on a Friday for value the following Tuesday (t+2). Somehow this trade became classified as a forward by our back office systems (dealer says they ...