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    VaR with Futures

    Hi Forwards/futures are linear functions of stock price i mean F=SP*exp(rT) where r and T are constants. Therefore Var of Forward/Future=delta*Var of stock(SP) where delta for future is exp(rT), and for forward is 1. So you just multiply delta of futures position with SP to get the futures Var...
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    P1.T2.70. Standard error Page 101 of Question set

    Hi Yes Jayanthi Brian is right exam shall not have ambigous question,the calculated answer whether u round the tstat or not will alwaud lie nrarer to the correct option. For exam always go for the answer most nearer to the calculaed value u got after approximations or not. There might be only...
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    P1.T2.70 - Standard error Page 101 - #70.4

    Hi jayanthi, We need to find x such that 1.303x+(1-x).681=1.2658=>.622x=.5848=>x=.94 Pr(t>1.2658)~.94*.10+.06*.25=.094+.015=.109=10.9% closer to actual answer .i hv taken weighted avg of area in terms of how far or close actual t value 1.2658 is from critical values. In general in such way u can...
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    Exercise HULL 06.11

    Hi Dirty price is the present value of all future cash flows including coupons. (Pv at t=0 be x then pv at t=T at y% is (1+y)^T*x)To arrive dirty price 270 days in future we compound dirty price today and pv of coupon at next settlement at 10% the yield which shall give the pv of all the future...
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    Exercise HULL 06.11

    Hi I think there is a typo here (lets David confirm) the dirty price of 112.028 is for Sep 30 not July 30 so we subtract the AI from the last settlement date of Aug 4 til today Sep 30 of 6.5*(57/184) to get the clean price on Sep 30. Dirty price for july 30 would be clean price of 110+ AI of...
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    Miller - Chapter 5 - Hypothesis Testing - Study Notes - Page 92 Typos #4

    Yes Jayanthi As sample size<30 we should use t distribution instead of normal. I think David has used approximated value rounded to 1 place of decimal. Using exact value of 1.059 instead of 1 approx. One,(.03-Rf)=.6%*1.059= .6354% or Rf=3-.6354%=2.3646%~2.365~2.37~2.4% what David got, u got the...
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    Miller - Chapter 5 -Hypothesis Testing and Confidence Intervals, pg 91 #2

    Jayan Hi Yes p value is associated with the test stat not CL 99%. If chistat=56 then we find p value associated and compare it with .01 if p value<.01 then we reject null otherwise if pval>.01 fail to rej null. In this case of 56 yes p val>.01 so we fail to reject null. If p value is declining...
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    Miller - Chapter 5 -Hypothesis Testing and Confidence Intervals, pg 91 #2

    Hi jayanthi I have said it for a fixed CL. I mean at 99% CL as the p value decrease the chances of rejection increases, the CL are fixed its not varying. Likeeise at 95% CL if you decrease p value the chnces of rej increase. At 99% Cl if calc chistat were s.t. Greater than 57.32 than...
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    Miller - Chapter 5 -Hypothesis Testing and Confidence Intervals, pg 91 #2

    Hi Jayanthi p value gives you the max. Confidence level CL at which u can safely reject the null. Find the corresponding CL say x% for chi test stat 56 here and 35 df in the chi sq table ,then p value is 1- x%. For egin above chi square test for sample variance chi-test stat=56 the area under...
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    Extreme Value Theory (Peaks Over Threshod)

    Hi As far as i can get for Gpd to be valid the plot must be linear above the threshold i can see the threshold as u=0 beyound which the graph is linear. So i think relevent threshold should be 0. Thanks
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    Chapter 1Crouhy - Business Risk

    Visit: https://forum.bionicturtle.com/threads/4-major-types-of-risk.6078/#post-19026 Basel is more concerned with regulations and is not same as business risk. Thanks
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    Miller - Chapter 4 - Distributions - Study Notes, Pg 75, question #2

    Hi Consider n up jumps and 12-n down jumps to get 121 in the end Therefore,100*(1.1)^n*(1/1.1)^12-n=121=>1.1^(2n-12)=1.1^2=>2n-12=2=>2n=14=>n=7 therefore there are 7 up and 12-7=5 down jumps. Binomial probability is 12C7(.6)^7*(.4)^5=22.69% Thanks
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    Error term in multiple regression

    Yes Brian OLs estimators are always biased its like saying R^2 is not always 100%. The assumption of Mra that error terms should be not coorelated with independent vars is far from reality as u said there is bound to be some correlation of error term with the ind vars,this correlation is...
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    Asset & default correlation (Malz, Portfolio Credit Risk chapter)

    Hi I ignore .36 just to simplify calculations. Otherwise as i calculated the exact answer for y is .3. What is your source of the question, can you please give complete details of the problem, where u get it from?please elaborate Thanks
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    Asset & default correlation (Malz, Portfolio Credit Risk chapter)

    Let x be joint default pribabiluty,pd of other bond be y .05=x-.01*y/sqrt(.01*.99)*sqrt(y(1-y)) x=.0006 .05*.0995*sqrt(y(1-y)=.0006-.01y .000024*y(1-y)=.00000036+.0001y^2-.000012y 24y(1-y)=.36+100y^2-12y 124y^2-36y=.36 ignore .36,y=36/124=.29 Ccheck for beta^2 by putting these values. Such...
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    Quantitative Analysis : P1.T2.306 Calculate the mean and variance of sums of variable

    Hi The formulas Var(x+y) and Var(aX+bY) are almost the same except u put a=b=1 in the latter formula to get Var(x+y). Its difgerence in the form only otherwise both are technically the same both are calculating sum of variances of two variables only difference being that one has a and b...
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    Concept of Skewness (Chap 3. Basic Statistics)

    Yes Brian yes a negative skew means more chance of losses for an investment everything else equal. Skew = summation(x-mean)^3/vol^3 a negative value would suggest more deviation (x-mean)of x valuess on the left side of the mean as compared to the right side. If we assume x values are...
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    Treynor vs sharpe

    Hi You can interpret relation b/w beta b and std dev sd of potfolio, Let d be sd of mkt and r be correlation b/w mkt and portfolio, b=r*(sd/d) so your 4*4 matrix leds to 4 cases 1)b high and sd low, this can happen when r is high which indicates when mkt and portfolio follow almost same returns...
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    Hull chapters

    Hi You can do one thing, study the readings unchanged of 2014 in 2015.And wait for the new readings until BT publish the new material for 2015,you can read those new readings once they arrive. You have to refer to changes and additions in 2015 frm curriculum as compared to 2014. Thanks
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    FRM Part 2 Topic Review Video Series

    Hi Yes BT is updating existing material to align with updating readings of frm. The revised material.shall be available.soon please chec it out with David and Nicole when they shall be uploading new updated material for 2015. May be its right on the way Thanks
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