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  1. David Harper CFA FRM

    VRM Credit Risk Chapter 6

    Hi @alexwallace GARP's solution solves for σ as percentage of portfolio size; you can do dollar variance, just like you are doing, but yours is just off by 1,000 as it should be sqrt($600,000^2*0.5%-$3,000^2) = sqrt(1,791,000,000) = $42,320; i.e., it's 1.791 billion not 1.791 million. Then your...
  2. David Harper CFA FRM

    Default correlation in expected loss?

    Hi @frm_prep No worries. For an individual position, of course EL = PD*LGD*EAD and this is arguably the most fundamental formula in credit risk. This is obviously a product and, although it is rarely mentioned, implicitly it assumes that PD and LGD are uncorrelated, ρ(PD,LGD) = 0, because if...
  3. David Harper CFA FRM

    YouTube T3-13: Par yields are swap rates

    Hi @DenisAmbrosov I moved your question (it's the sort of question that's easy to search, and has been asked many times, for good reasons! We have several discussions on it). See above. Thanks,
  4. David Harper CFA FRM

    5% VaR of Normal P/L

    Hi @alexwallace It's a lazy question that might penalize candidates who know too much. Ironically, those without preparation can probably just visualize to see what they want: the distribution has mean of +20 such that the left-side 5% quantile (0.050) is located at 20 - 1.65*10 = + 3.5, so the...
  5. David Harper CFA FRM

    Example 6.3 credit risk measurement and management : computing z spread

    Hi @Gasthron My XLS above is just my replication of Malz Ex 7.2 and, for him, it's just a compound frequency adjustment: LN(1+3.50%/2)*2 = 3.47%. So, without checking the text, it looks like he assumes a flat 3.50% semi-annual yield curve. A flat yield curve is a common assumption with high...
  6. David Harper CFA FRM

    Exchange Rate

    @carlosfaria I'm told the CFA doesn't follow FX convention. Recently a colleague posted on our slack, "That is unfortunate CFA doesn't follow practical convention; if you lookup the cable, you are going to get GBPUSD 1.3205 (according to what I've been repeatedly told by practioners)."
  7. David Harper CFA FRM

    Short Equity T + long Mezzannine T (correlation impact?)

    HI @MRC2020 You may have noticed that above (https://forum.bionicturtle.com/threads/short-equity-t-long-mezzannine-t-correlation-impact.10203/post-48179) i happen to agree with you. As I compare Gunter's first and second editions, I notice that he switched the hedge funds' strategies...
  8. David Harper CFA FRM

    Swaps : 722.3 : Nearest estimate for the forward LIBOR rate

    Hi @ankit4685 per the title bar in the XLS, what I did there is implement Hull's Example 7.2. (10th Edition). See below. Source: Options, Futures and, Other Derivatives, John Hull (10th)
  9. David Harper CFA FRM

    Chapter 14: Trading strategies

    @DenisAmbrosov In this context, sure we can. A naked put is uncovered. In the p-c parity context, in addition to the naked put, we are just investing at the risk-free rate, which does not alter the payoff function (curve) yet satisfies the equality.
  10. David Harper CFA FRM

    Chapter 14: Trading strategies

    Hi @DenisAmbrosov (btw, is your quoted sentence from GARP's chapter or our note, out of curiosity? ... because it's a sweet comparison, to note that payoff shape of write naked put ~= write covered call). Put-call parity is awesome. I like to start with your c+K*exp(-rT) = p+S0, which to me is...
  11. David Harper CFA FRM

    BASEL optional readings

    Hi @Susanna3890 according to GARP, the FRM exam itself will not (i.e., should not) ask questions directly about the Optional Basel readings. I hope that's helpful,
  12. David Harper CFA FRM

    Market Risk - Chapter 6, page 121, 10-day VaR

    Hi @poojanmehta1 Yes, if we refer to a 1-day VaR, then we expect a 99.0% VaR to be exceeded 1.0%*250 = 2.5 days per year, and 1.0%*(250 *4) = 10 days per four years, exactly as you say. Clearly, GARP's text does not refer to a 1-day VaR, but rather to a 10-day VaR. We can further infer that...
  13. David Harper CFA FRM

    Inconsistencies in marginal var formula - Jorion Ch7

    Hi @kchristo You got it: Marginal VaR, signified with delta (confusing) as given by ΔVaR = α*β(i,p)*σ(p) where β(i,p) = COV(i,p)/σ^2(p) such that ΔVaR = α*[COV(i,p)/σ^2(p)]*σ(p) = α * COV(i,p)/σ(p). Thanks,
  14. David Harper CFA FRM

    YouTube T5-01: Lognormal Value at Risk

    Hi @frogs Yes that is correct! This is all based in Dowd Chapter In both the normal versus lognormal VaR there is the same assumption that returns are normally distributed! The difference is due to whether arithmetic returns are normally distributed (what we call "normal VaR" or just "VaR") or...
  15. David Harper CFA FRM

    YouTube T5-05: Value (VaR) Mapping a fixed-income portfolio

    Hi @jan molina No, this is VaR mapping; aka, risk factor VaR mapping. It is compatible with any of the three major VaR approaches (analytical/parametric, historical simulation, or Monte Carlo simulation).
  16. David Harper CFA FRM

    Inconsistency in Stulz's BSM Equity Formula

    Hi @kchristo I don't think you attached a spreadsheet, but this perceived confusion is generally due to the fact that, because the normal is symmetrical, we can solve for PD = N(-DD) or N(DD) depending on "which side" of the normal return distribution we are using; recall that the prices are...
  17. David Harper CFA FRM

    FAQ After Exam Questions about work experience

    Hi @Chanspace As we're not GARP, we're not really supposed (allowed) to say. But you were an Operational Risk Manager! It's going to qualify. Please don't quote me, but it definitely qualifies. If an actual Operational Risk Manager didn't qualify, then a lot of far more borderline cases wouldn't...
  18. David Harper CFA FRM

    Mechanics of collateral and the types of collateral

    HI @wahahahaha Yes, that's what Gregory says: receivers of collateral may have different motivations such that they may or may not prefer cash as collateral. I think we can all understand why cash (as collateral) would be preferred: it is the most liquid asset! However, cash needs to be...
  19. David Harper CFA FRM

    Interest Rate Forward vs Spot Interest Rate

    I guess you mean P[F(0,10,1)]; i.e., today's price of the forward contract. But, yea, it's called a repo carry: if the term structure is upward sloping and static, then you can buy the long rate and fund it by rolling over the short-term rate. In which case, the term structure embeds a premium...
  20. David Harper CFA FRM

    What is RWA? what is the difference between RWA and risk capital?

    Hi @FxReX80 These are each big concepts (eg, entire chapter on risk capital in FRM P2.T7). I would just offer one high-level perspective, if you think about a bank's balance sheet: assets (on the left-hand side) equal liabilities plus equity (on the right-hand side). Or, equity = assets minus...
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