0
votes
2answers
43 views

Multivariate Ito problem $M_t=\frac{X_t}{Y_t}$

I am analyzing a problem given in the lecture slides published here (Slide 7-8 Example of Multivariate Ito’s Lemma). Can anybody explain how the $M_t$ was calculated out of the Ito formula. I ...
0
votes
1answer
33 views

Which close price should we use for machine learning?

I am building a machine learning model using historical prices and I am using data from yahoo finance. Currently yahoo finance data have two close prices one normal close price(close) and other ...
0
votes
2answers
29 views

Overpricing Bermudan swaption using Shifted LMM

I am trying to model a callable range accrual note linked to the EUR CMS spread, 20Y-10Y, with cap and floor. The note is Bermudan, callable starting year 3, every 3 years till maturity at 30 year. We ...
3
votes
1answer
37 views

Fees on derivatives

Since it's obviously not at their fair value that derivatives are priced, how do investment banks compute the fees that they add on top of the risk neutral price ?
-1
votes
0answers
13 views

calculate 6 month change in TED spread

I have a basic question if someone could help me out how would I calculate the 6 month change in TED spread. I have a monthly time series of TED spreads.
0
votes
0answers
9 views

Where can I find CMS swap trading prices?

I am writing a paper about CMS swap. To do so, I'd like to compare different theoretical pricing methods of these instruments to the "real prices" i.e. prices used in the marketplace. But I don't ...
0
votes
0answers
35 views

measuring portfolio performance using monte carlo simulation

I have a financial portfolio comprising standard asset classes such as equities, bonds, and commodities. I developped a strategy (optimized) and I include it in the financial portfolio. I want to ...
1
vote
1answer
190 views

how can we know the residual return will be uncorrelated with the market return

I was reading that if we know a portfolios beta we can break the excess return on that portfolio into a market component and a residual component. ...
3
votes
0answers
33 views

Interplay of statistical factors (PCA) and market factors (value, momentum, low vol, …)

Is there any research done on the interplay between statistical factors (as a result of principle component analysis PCA) and the market factors (especially value, size, low vol, momentum, quality)? ...
1
vote
0answers
30 views

calculating long short portfolios currency exposure

I have calculated the currency exposures of a long short portfolio simply by summing the weights of each stock. However I was told that I need to incorporate the dollar borrowing (short dollars), I ...
3
votes
3answers
41 views

Perpetual American Put Supermartingale property

Discounted price process of an american put (perpetual) has a $dt$ part in it, which is negative if the price at time $t$ is less than the optimal exercise price. This is the only thing that drags the ...
2
votes
0answers
27 views

Ledoit-Wolf, expected order of optimal shrinkage intensity

I have a question regarding the optimal shrinkage intensity derived in the Ledoit-Wolf method. Specifically, I'm referring to their version concerned with the target defined as the single index factor ...
0
votes
1answer
37 views

How to work out the forward outright price from the bid/ask quotes?

I'm facing this problem: Spot AUD/USD is quoted at 0.7634/39; six-months swaps are 112.1/111.1; at what forward outright rate can a price taker sell USD value spot/6 months? On the spot ...
1
vote
2answers
31 views

How do companies forecast revenue and earning estimates for a quarter or year in advance?

I'm sure there are models and they have low and high estimates. But how to do they decide on the percentage growth? A bit of art + science?
0
votes
2answers
30 views

Combos on close SPX

I am wondering if anyone has any information on how combos on close trade. I've been looking at the BTIC (http://www.cmegroup.com/trading/equity-index/btic-block-trades.html) and was wondering if ...
0
votes
1answer
23 views

shifted SABR - ATM vol

quick question guys. I know that for Shifted SABR (or any other Shifted model), we simply model the underlying price process (lets say the forward interest rate F), as F' = F + x, x being the shift. ...
0
votes
0answers
26 views

combining returns in portfolio analysis

In portfolio analysis, can anyone think of a reason it might be a bad idea to simply combine all the past returns into a single return based on your asset allocation and then determine portfolio and ...
1
vote
1answer
51 views

Integration in the Hull-White SDE

I'm stuck in solving the SDE in Hull-White interest rate model. I do not have a thorough background in math (only Real Analysis during my blissful undergrad years), so I am having trouble ...
4
votes
1answer
62 views

What are the answers to these questions on card deck and option pricing?

here are 3 questions I have some trouble dealing with. Your help will be greatly appreciated! 1 - We have a deck card: 26 red, 26 black. we play a game: you draw a card from the deck without putting ...
0
votes
0answers
18 views

What is the importance behind an efficient frontier to be a straight line in the standard deviation-mean plane for Mean-Variance Portfolio Selection?

I'm currently working on a research project regarding Continuous-Time Mean-Variance Portfolio Selection problem. I got curious on why is it important for the efficient frontier to be a straight line ...
1
vote
1answer
39 views

investor terminal value of portfolio with two risky assets 1) correlated 2)not correlated $\phi_t^1=S^{2}_{t}, \ \phi_t^2=S^{1}_{t}$

I am analyzing a problem where I have two stocks described by the equations $$ \frac{dS^{1}_{t}}{S^{1}_{t}}=\mu_{1} dt + \sigma_{1} dW^{1}_{t}$$ $$ \frac{dS^{2}_{t}}{S^{2}_{t}}=\mu_{2} dt + ...
0
votes
1answer
57 views

Why Is Bond Time Value Risk Not Considered in Bond Immunization?

I know bond portfolio immunization includes duration and (if the hedging period is longer) convexity matching. These are equivalent to taking the first and second partial derivatives of the bond ...
0
votes
1answer
52 views

Is there a way to meaningfully generate daily returns from monthly?

I have a set of 7 investments in a portfolio and I need to optimize the weightings based on some exposures to various markets/styles/economic factors. I was hoping to do some sort of simple exposure ...
1
vote
0answers
40 views

serial correlation, Fama MacBeth (1973) procedure incorporating momentum

I have a question regarding the use of the Fama-MacBeth (1973) procedure on panel data. I am investigating the cross sectional determinants of expected REIT return following the procedure from: Chui, ...
1
vote
1answer
23 views

Cash Flow for Operating Cost, Sheldon Ross Question

In his An Elementary Introduction to Mathematical Finance, 3rd Edition book, pg. 55, Sheldon Ross has a question - A company needs a certain type of machine for the next five years. They ...
0
votes
0answers
47 views

Easy question (?) - how to measure if volatility for two samples is significantly different?

For my bachelor thesis I'm doing a research where at one point I want to measure if volatility for a certain sample of stocks in period A is significantly different from i) the same sample of stocks ...
0
votes
1answer
39 views

Stress Testing for VaR

I am trying to perform stress testing for VaR and have taken into consideration two methods:- 1. Sensitivity analysis 2. Historical scenario analysis. According to the Derivatives Policy group we ...
0
votes
2answers
15 views

How can you find change in working capital and capital expenditures without a balance sheet?

I'm working with the following information trying to work through a valuation exercise and I'm absolutely stuck. How can I find ∆WC and CAPX with this information?
4
votes
1answer
78 views

How to express the volatility of two correlated Ito processes $Wt_1, Wt_2$ expressed in terms of $W_t$?

Having two correlated Ito processes ($W_t^1$ and $W_t^2$ are correlated Brownian motions with correlation $\rho$) $dX_{t} =\mu_{1} dt + \sigma_1 dWt_1 $ $dY_{t} = \mu_{2} dt + \sigma_2 dWt_2 $ ...
0
votes
0answers
24 views

Convert 90-Day Tbill to risk free rate on continuous basis

I am trying to use the BS formula to compute the value of a call option. To do that I need the risk free rate on a continuous basis. As far as I know, people typically use the 90 day TBill as a proxy ...
1
vote
1answer
81 views

2 Ito processes - $d(X_{t} + X^{'}_{t})^2 = (Y_t + Y^{'}_{t})^2 dt$ why it is true?

Having two Ito processes $dX_{t} =z_{1} dt + Y_{t} dB_t $ $dX^{'}_{t} =z^{'}_{1} dt + Y^{'}_{t} dB_t $ I am analyzing a proof of the product rule $d(X_t X_t^{'})=X_t dX_t^{'}+ X_t^{'} dX_t + ...
1
vote
1answer
25 views

arbitrage proof question

prove the condition $D<R<U$ is equivalent to the absence of arbitrage: R = risk free investment rate of return. U and D are returns corresponding to the upward/downward price movements of a ...
0
votes
1answer
31 views

how to measure a event driven strategy?

How to measure an event driven investment strategy? Say I have a strategy which I assume that if a firm has positive momentum and it has a refinance corporate action, it's value will increase. For ...
0
votes
0answers
24 views

Hull white tree and the pricing of an interest rate swap

Currently, I have been able to set up the hull white tree. To price the swap, and we use the formula from Wilmott "Introduces Quantitative Finance", where we use the discount factors for all ...
1
vote
1answer
28 views

Finding rate of return of bond sold before maturity

You purchase a bond today for $980; M=$1000, the coupon rate is 4% paid semi-annually, and there are n=7 years to maturity. If you sell the bond for $1025 in six months time, what is your rate of ...
0
votes
0answers
10 views

Exchange ratio (stock swap ratio) during a merger/acquisition

Good morning to all, The question is homework-related but I've done the research already. The task is to guesstimate how much money will a known company A pay if it wants to acquire the known company ...
0
votes
1answer
31 views

Excess, Residual and Active Return

in CAPM. What's the difference between these different types of returns? Active return Excess return Residual return
3
votes
1answer
60 views

Why can a swap option be regarded as a type of Bond option?

Why can a swap option be regarded as a type of bond option? My idea: Suppose the swap rate of the swaption is $s$. Now consider a bond option expiring at $T$ with strike, $(P_K)_t = ...
0
votes
1answer
22 views

Pricing foreign currency bonds - which approach is more theoretically “sound”?

You own a fixed rate corporate bond in foreign currency (let's say JPY). Your domestic currency is USD. Which of the these two approaches do you consider theoretically better? Discount JPY cash ...
0
votes
0answers
12 views

Black-Sholes call value as a function of Company’s Spot Price S-Option Driven [closed]

Consider a call option on ABC Inc. with the following information: Strike price $1 Maturity: 1 year Volatility: σ Interest rate: 0% No dividends. Let c(S) be the Black-Sholes call value as ...
-2
votes
0answers
12 views

Modeled as the driftless geometric Brownian motion with instant increments [closed]

Consider a stock S currently trading at price S0. The future evolution of the stock price (St) t≥0 is modeled as the driftless geometric Brownian motion with instant increments: dSt = σStdWt, where ...
0
votes
0answers
11 views

A generalized Brownian motion [closed]

A company’s cash position, measured in millions of dollars, follows a generalized Brownian motion with a drift rate a=0.1 per month and a volatility rate b = 0.4 per month. The initial cash position ...
1
vote
1answer
49 views

Isn't Black's approximation for American options inconsistent?

I have came across a formula suggested by Fisher Black (Fact and fantasy in the use of options, FAJ, July–August 1975, pp.36) for approximating the price of an American call written on a ...
3
votes
1answer
30 views

What is the effect of mean-reversion on an upper barrier knock-out call option?

Consider a mean-reverting normal model for an underlying $dX^{(1)}_t=-\kappa X^{(1)}_tdt+\sigma^{(1)} dW^{(1)}_t$, for fixed time-independent constants, $\kappa$ (mean-reversion) and $\sigma^{(1)}$ ...
3
votes
1answer
47 views

Solve Black scholes PDE without using any transformation

I know that one of the methods of solving the black scholes PDE given by : $\frac{\partial V}{\partial t} + \frac{\sigma^2 S^2}{2}\frac{\partial^2V}{\partial S^2} + rS\frac{\partial V}{\partial S} -rV ...
0
votes
1answer
23 views

What does it mean when a risk reversal is near choice?

I'm currently reading Kathy Lien's 'Day Trading and Swing Trading the Currency Market' and I came across this phrase on risk reversals: "near choice". What does it mean when risk reversals are near ...
2
votes
1answer
29 views

Fitting Copula and Simulation

I would greatly appreciate any insights into the problem described below, regarding using the data obtained from applying the functions of the 'rugarch' package into those from the 'copula' package. ...
3
votes
3answers
61 views

Are smart beta and risk parity the same?

So from what I have been reading online, smart beta ETFs aim to use a different type of weighting (instead of by market cap as traditional ETFs like SPY do to track an index) to achieve positive ...
0
votes
1answer
42 views

Payoff of option

Consider the payoff $g(S_T)$ shown the figure: I believe the payoff represented as a linear combination of the payoffs of some options with different strike and same maturity $T$ is $$g(S_T) = ...
1
vote
1answer
29 views

Pricing a Vanilla swap between coupons; What rates to use?

Vanilla Swap question. Entered into a 5Y fixed for floating HUF swap. Fixed is annual coupons, Float is semi-annual coupons. 1 month later I want to price it. I set up my future values for Fixed ...

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