1
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1answer
682 views

Does amortization of bond start accumulating on trade date or settlement date?

I am sorry if this is not appropriate here. We are building a wealth management system and I really would like to know whether amortization of bond start accumulating on trade date or settlement date ...
1
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2answers
155 views

How can I estimate the parameters of an option value model of retirement?

I am modelling an option value model of retirement, see for instance Stock and Wise (1990). I am however not sure to which class of problems this model falls into and hence which optimization method I ...
1
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1answer
141 views

Brent Crude Data

I am trying to locate historical volatility data (5+ years) for Brent Crude? Does anyone know where I might be able to source such data?
1
vote
1answer
544 views

T-note returns from T-note yields … derivation of Damodaran's formula

Damodaran's historical data on 10-year T-note returns (found here) uses the following formula to calculate the 1-period total return on a T-note ($R_1$) given the 10-year constant maturity ...
1
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2answers
143 views

Derivatives with a floating Libor leg

If Libor is found to be fraudulently fixed, are any of the derivative contracts with a floating libor leg still valid?
1
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1answer
169 views

help me compare methods to compute one instrument price from another instrument price

Assume we have two instruments A and B. Also time is increasing from 1 to n. Let's say that ...
1
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1answer
256 views

Normalized data

I am new to this. I trained and tested my data using SVM in Matlab with the autoscale option true => the data would be normalized with unit SD. Let's say the training data have the price around 200. ...
1
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1answer
1k views

How is mean reversion implied by different valuations of Bermudan swaptions?

Someone told me that mean reversion can be implied by the different valuations of bermudan swaptions when using different methods for volatility calibration. Does anyone know what this means?
1
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1answer
293 views

Reading recommendation on using statistical analysis in online fraud prevention [closed]

Can you please recommend good reads on statistical analysis related to online fraud detection and prevention of account abuse?
1
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1answer
62 views

Calculating IR sensitivity

I'm trying to figure out how to find IR sensitivity of a bond whose time to maturity of a bond is 2 years. Bond pays 10.875 percent coupons yearly. Duration is 1.8 years. How do you find the ...
1
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2answers
41 views

Creating index from bloomberg data in matlab

I'v got 6 different equity index time series from which I want to create an index based on a particular percentage. This would be simple although due to different holidays the date don't always match. ...
1
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1answer
28 views

Are financial returns considered more volatile in recessionary times as opposed to expansionary times?

I need help in understanding some results that I have obtained. I am doing some out-of-sample performance analysis for different targets of volatility in mean-variance optimization where I solely ...
1
vote
4answers
131 views

Merton model riskless self-financing derivation

Suppose $dA_t = A_t[\mu dt+\sigma dW_t]$ (assets' value) under the physical measure, plus the other assumptions of the Merton model. Suppose further that debt and equity are tradeable assets that ...
1
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1answer
33 views

News about CAPM/FF3FM or asset pricing models in general

Is there any interesting news about CAPM/FF3FM or asset pricing models in general lately? Would have been greatly appreciated!
1
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1answer
64 views

Is this formula correct to estimate a knock out option price using monte-carlo?

I have a knock-out option with barrier $L>0$ and strike $K$ that pays at maturity $(S-K)_+$. So, positive payoff occurs only in case the price stays below the barrier over life of the option. I am ...
1
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1answer
38 views

What is the limiting distribution of loss portfolio?

I am working through this paper on Vasicek's portfolio loss distribution. On page 3 he mentions that by the law of large numbers, $$\lim_{n\to\infty}\sum_{k=0}^{\lfloor nx \rfloor} ...
1
vote
1answer
36 views

SKEW Index as parameter in lognormal distribution

The CBOE publishes a SKEW index, which is SKEW = 100 - 10*S, so from the index itself we can get S = (SKEW - 100)/10. I just ...
1
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1answer
39 views

optimal strategy problem (using Jensen's inequality)

I have a strategy in Samuelson model with zero safe rate defined as $$Z_t^{\Pi}=\frac{X_t^{\Pi}}{X_t^{\rho}} \quad \quad (1)$$ where $$\frac{dX_t^{\Pi}}{X_t^{\Pi}} = \mu \pi dt + \sigma \pi \ dW_t ...
1
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1answer
39 views

Tangency portfolio and CML - Why does it have the highest sharpe ratio?

In the book that I am studying, the tangent portfolio was defined as the regular efficient portfolio in the case with $n$ risky assets and 1 riskfree asset with the extra requirement that the ...
1
vote
1answer
50 views

Why are Yahoo Finance API values different from the web interface?

(SOLVED: Solution is below the second graph) The API results on GSPC: Same period in the interactive chart of ^GSPC: SOLVED ...
1
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1answer
29 views

ATM volatility and flat volatility

Why do the implied volatility curve and the flat curve cross over the ATM volatility (at 100%) ? Tx
1
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1answer
71 views

Quanto/Compo adjustments - Product of two geometric brownian motion

Let's say I have two processes $X_t =X_0 \exp((a-\frac{1}{2}\sigma_X^2)t +\sigma_X dW_t^1)$ and $Y_t=Y_0 \exp((b-\frac{1}{2}\sigma_Y^2)t +\sigma_Y dW_t^2)$ and I then multiply them together (like ...
1
vote
2answers
42 views

Implied Volatility as proxy for instantaneous volatility

In many papers and book I have found a reasoning that it is well summarized in this paper as "The first proxy we use is an unadjusted Black-Scholes proxy in which the implied volatility of a ...
1
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1answer
53 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 ...
1
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1answer
47 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 + ...
1
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1answer
34 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 ...
1
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1answer
58 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 ...
1
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1answer
41 views

given someone's past investing history, is there a way to calculate his risk aversion?

given someone's past investing history, is there a way to calculate his risk aversion? Say, we know this client's investment history for example his past return, is there a way to calculate his risk ...
1
vote
1answer
74 views

Calculation of Bond Carry from Synthetic future prices

I have only government bond yields with different maturities. How can I obtain sythetic future prices on bonds? After obtained the future prices, I am supposed to compute the return and carry returns. ...
1
vote
1answer
69 views

How frequently do traders rebalance their gamma hedges?

Say, for instance, that you've set up a delta-neutral straddle (i.e. you are long volatility, short time decay) and want to dynamically hedge your gamma in order to offset losses due to theta. Is ...
1
vote
2answers
40 views

Swap prices (preferably based on 3 month LIBOR)?

Where can I find a listing of forward swap rates based on libor. E.g. pricing on a swap of rates floating over 30 day libor for 3 year fixed, one year from now?
1
vote
1answer
26 views

Historical VaR on Commodity Physical Forward

Recently came across building Histroical VaR for commodity forward position. Understood from quants guru the best way to calculate VaR is using full re-valuation, Full reval is computationally ...
1
vote
1answer
44 views

Portfolio optimization - maximize variance with exposure to risk factors equal to zero

Optimize a portfolio such that the exposure to risk factors is zero and the variance is maximized (instead of traditional minimization problem). so the optimization problem look like: ...
1
vote
1answer
73 views

Static and Dynamic Hedging of Vol/Var Swaps

Why can a variance swap be perfectly statically hedged whereas a volatility swap requires dynamic hedging? Possible reference request to the corresponding literature.
1
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1answer
34 views

Who/What is a promoter of a company?

As Investopedia defines it: A promoter is an individual or company that, for a fee, helps raise money for some type of investment activity. Most often, promoters raise money for a company through ...
1
vote
1answer
272 views

Geometric means, standard deviation, and sharpe ratios

I have 3 related questions: a) I've seen formulas for GM and GS which eithier do, or do not, involve taking the exponent. Which is right? i.e. for GM I've seen both mean(ln(1+rt)) and ...
1
vote
1answer
36 views

Backtesting and dividend adjustments

I am backtesting a number of trading strategies using a feed of unadjusted data from Factset. Before I run the backtest my routines adjust the data for splits and for special dividends. One question ...
1
vote
1answer
48 views

Symmetric probability and subjective return

Let $\{Z_k\}_{k=1}^{N}$ be a sequence of i.i.d. random variables with the following distribution $$Z_k = \begin{cases} \alpha &\text{with probability} \ \hat{\pi}\\ -\beta &\text{with ...
1
vote
1answer
40 views

Greeks across different underlying

To monitor risk of a client portfolio, does it make sense to accumulate Greeks across different underlying? If yes, how can Greeks be normalized across different underlying?
1
vote
1answer
103 views

Pricing of Black-Scholes with dividend

Consider the payoff $g(S_T)$ shown in the figure below. Consider Black-Scholes model for the price of a risky asset with $T = 1$, $r = .04$, and $\sigma = .02$ and dividends are paid quarterly with ...
1
vote
1answer
104 views

Relations between Call and Put

I am trying to solve a question in finance but I am pretty much stuck and would need your help :) Suppose you know the following information about a market: Future is at 66 70 strike straddle is ...
1
vote
2answers
33 views

EUR issuance using forwards to hedge FX risk

Trying to think about the right way to hedge a EUR denominated issuance from FX risk only. Say I have an annual pay 20-year EUR bond and I want to hedge the FX risk but take the interest rate risk. I ...
1
vote
1answer
75 views

Discount factor

Suppose we have : $r$ - zero coupon rate, constant over time, $n$ - a number of years (an integer), $\theta$ - a fraction of a year $(\theta < 1)$ , calculated with the relevant day count ...
1
vote
1answer
87 views

Monte Carlo Option Pricing: Averaging Price Per Path

In Glasserman's book, he computes the price of an option by first computing the average price over each simulated price path. Once all the paths have been simulated, the average of all the payoffs is ...
1
vote
3answers
37 views

Swap curve and short maturities

Consider USD Libor 3M swap curve. There are different maturities: 2d, 1m, 3m, 6m, 9m, 1y, 18m etc. The values for 3m, 6m, 9m etc. time buckets are just swap rates for swaps with floating leg equal ...
1
vote
1answer
55 views

Put-on-call option confusion

So the question asks: Given a 3-steps Binomial Tree model with $S(0) = 50$, $U = 20%,D = 􀀀20%$, and $R = 5%$. A European call option has the strike price $X = 40$ and maturity time $T = 3$. Also, a ...
1
vote
1answer
23 views

Indexes and return spreads

First and foremost thank you for reading my question, I hope all if you have a Happy Holiday this weekend. On to my question: I am completing an assignment on global sovereign bonds, I've been ...
1
vote
2answers
130 views

Why is the term structure of the implied volatility surface non-monotonic?

Does this reflect expectations & uncertainty about interest rates (exposure to rho?), event driven concerns about the underlying, or something else?
1
vote
2answers
36 views

type mismatch in Rquantlib Bond.cpp

I've been tracing back through bond.cpp and find the following in FloatingBond() : double dayCounter = Rcpp::as<double>(datemisc["dayCounter"]); ...
1
vote
2answers
49 views

Asymptotic behavior property of geometric Brownian Motion proof

Online I found the asymptotic behavior property of geometric Brownian Motion $X_t$as: If $\mu$ (drift parameter) is $\ge$ $\sigma^2/2$ where $\sigma$ is the volatility parameter, then $X_t ...

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