Lesson 27

    Global Macroeconomics: Fed Rates, Yields & Data

    Read global headlines, official data and Indian option prices without treating one as a signal for the other.

    A parcel crosses calm water on a glass cable toward a columned institution with a clock, while Maya lays two sheets side by side and Mr. Chartist points at the gap between them: the surprise is the gap between the release and the expectation
    Effect of the INR interest-rate input on a hypothetical NIFTY option with spot and strike 24,500, 30 days left, 18% IV and 1.2% dividend yield. Raising the rate from 6.5% to 7.5% lifts the call from ₹557.72 to ₹568.26, a rise of ₹10.54, and lowers the put from ₹451.33 to ₹441.85, a fall of ₹9.48. The local rho estimate is close to the full change. Model values, not live quotes.

    Raise the INR rate. Call up, put down.

    BASE6.5%
    ₹0

    INR model rate · % per year

    Move across the chart, or drag on a phone, to read each line.

    Hypothetical NIFTY · S = K = 24,500 · 30 days · 18% IV · 1.2% dividend yield · model values per unit, not live quotes

    Start with the number, then follow the contract

    Mr. Chartist will help you ask three questions: what was measured, what differed from the stated expectation, and which input or clock belongs to your Indian option? Keep these questions together while reading a headline; they prevent one US number from becoming a complete NIFTY explanation.

    By the end you will be able to answer

    1. What does the macro number actually measure?
    2. Why can a correct direction still leave an option worth less?
    3. Which event clock matters for the chosen Indian contract?

    You finish the Indian trading day looking at a NIFTY option quote, then see a US inflation headline later that evening. By the next session, the index, the rupee and option premiums may have changed. It resembles checking a shop’s bill after several costs have changed overnight: one headline is visible, but it may not explain the whole price. What part of that global news could have reached this Indian contract?

    Global macroeconomics studies broad conditions such as growth, inflation and the cost of money across economies. For an Indian option learner, these conditions are context for possible changes in funding, investor demand, the underlying index and volatility. Domestic policy, earnings and existing expectations can alter the response. A US rate move is neither a compulsory NIFTY direction nor an automatic change to the INR rate used in an option model.

    This lesson separates the policy target, effective overnight rate, bond market yield and economic release before connecting them to carry, Rho and event repricing. All numerical cases are hypothetical teaching examples, not live readings, forecasts or executable quotes. The aim is to explain a price with the right fields and clocks; it does not supply a recommendation to trade.

    Updated

    Chapter 1Global channels3 min read

    How a global headline can reach an Indian option

    Trace how a global headline can reach an Indian option.

    Maya

    Mr. Chartist, US rates rose last night. Must NIFTY fall today?

    Mr. Chartist

    No. First ask which rate. The policy target, the overnight rate and the ten-year yield answer different questions.

    Maya

    And how does that reach my Indian option?

    Mr. Chartist

    Through the index level, the price of uncertainty, and financing. Each is a possible channel. India brings its own earnings and policy to the same day.

    Maya

    Can I put the US rate into my option calculation?

    Mr. Chartist

    No. A rupee option needs an INR rate for its own maturity. And check the clock: a release after the final reference is fixed cannot change that payoff.

    Name the number, then follow the contract. One US headline is not a full NIFTY explanation.

    An Indian company sells abroad, buys imported inputs and raises money from investors in several countries. Its share price therefore responds to more than domestic news. Global macro means the wider economy behind those choices: growth, inflation, interest rates and currencies. A US announcement can reach a NIFTY option through the index level, the price investors put on uncertainty, or financing conditions. Often several change together.

    Start with the reason for the move. A higher US Treasury yield can come from a stronger growth outlook, from expected tighter policy, or from investors asking more pay for holding longer debt. Strong demand abroad can help some Indian businesses, while higher financing or discount rates can press valuations. The IMF research cited below separates economic news from changes in risk perception. A rising yield or a rate announcement is not a universal bullish or bearish NIFTY signal.

    Possible transmission · conditional comparisons

    The same yield rise can tell different stories

    The reason for a US Treasury-yield move and conditions in India both matter.

    One headlineA US Treasury yield rises
    1. 1Growth outlook improves

      Why the yield may rise
      Stronger growth expectationsInvestors may revise the future short-rate path and their required compensation for holding longer debt.
      Possible Indian-market effects
      Competing influencesExternal demand may support earnings while higher discount rates can weigh on valuations.
    2. 2Policy or risk compensation changes

      Why the yield may rise
      Inflation, expected policy or term premiumTerm premium is compensation for bearing longer-maturity interest-rate risk. Several drivers can change together.
      Possible Indian-market effects
      Financing and risk appetite may changeTighter conditions can pressure foreign flows; the dollar, hedging and what was already expected also matter.
    3. 3India has its own conditions

      Possible domestic offsets
      Buying, earnings and policyDII demand and domestic earnings can cushion external pressure. RBI policy and FX intervention can alter the response.
      Read the currency quote explicitly
      USD/INR = INR per USDA higher quote means USD stronger / INR weaker. It does not by itself identify a favourable option position.

    Check NIFTY spot and the selected contract’s IV and quotes after the news. A yield move alone does not determine Indian share prices or Call and Put premiums.

    Conceptual channels, without forecasts or assigned probabilities. These influences can operate together; foreign selling, rupee depreciation and a NIFTY fall are not inevitable consequences.

    Currency adds another view. Here USD/INR means rupees per US dollar, so a higher number is a stronger dollar and a weaker rupee. Take a hypothetical unhedged holding of ₹8,000 at ₹80 per dollar, worth USD 100. If its rupee value rises to ₹8,400 while the rate rises to ₹84 per dollar, it is still worth USD 100. The Indian price gain is 5%, yet the dollar return is zero, before dividends and costs. A foreign investor can therefore see a different return from the one on an Indian price chart. This arithmetic does not say whether that investor will sell.

    Financing matters separately from the exchange rate. Investors with dollar borrowing or currency hedges can face changes in funding cost, the price of protection and the cost of renewing it. BIS research on emerging markets looks at dollar conditions and investors’ capacity to bear risk, and its emerging-Asia funding study covers hedging and rollover pressure. These are possible channels, and each investor’s position differs. A Treasury-yield rise alone does not show a dollar shortage or foreign selling in India.

    India brings its own earnings, monetary policy and investor demand to the same day. RBI’s December 2021 Financial Stability Report recorded domestic institutions buying while foreign portfolio investors sold during April to November 2021. That shows an offset can exist, not that domestic buyers will always absorb a withdrawal. RBI intervention in the currency market can also change the rupee’s response. Read the global headline next to Indian conditions, then check what actually changed in NIFTY and in the quotes of your chosen option.

    Chapter 2Rate meanings3 min read

    The policy rate, market yield and coupon answer different questions

    Tell the policy rate, the yield and the coupon apart.

    “US rates rose” leaves one question open: which rate? The Federal Open Market Committee (FOMC) sets a target range for the overnight federal funds market. The effective federal funds rate (EFFR) summarises actual overnight unsecured dollar borrowing. The New York Fed calculates it as a volume-weighted median, the middle rate once each transaction is weighted by its size. The policy target and the observed overnight rate mean different things, even when their values are close.

    The US ten-year Treasury yield belongs to a much longer maturity. The official constant-maturity series is a point read off Treasury’s market-based yield curve, not the coupon of one bond. A coupon is the cash interest a fixed-rate bond promises on its face value. The market price is what someone pays today for those promised payments. Yield to maturity is the discount rate that links that price to all remaining coupons and the repayment of principal. Coupon divided by price gives current yield, which ignores the gain or loss from buying above or below face value.

    A rupee bond separates the ideas. Our hypothetical bond promises ₹50 after year one, ₹50 after year two and ₹1,050 after year three, which includes the ₹1,000 principal. The figure values those same payments at two annual effective yields. At 5% they are worth ₹1,000. When buyers ask 7% instead, they pay only about ₹947.51 for the same cash flows. The coupon is still ₹50. The issuer has not raised it to ₹70. This annual-payment example leaves out accrued interest, default, tax and costs. Real US Treasury notes pay semiannual coupons and follow their own quotation conventions.

    Hypothetical annual-coupon bond

    The coupon stays ₹50 when the yield changes

    The same promised cash flows have a different present value at a different market yield. This comparison changes the yield, while keeping all three annual payments fixed.

    • Fixed cash flows · changing yieldSolid line

    Bond price (₹)

    Bond price (₹) against Annual effective yield (%)Exact supplied series. Legend identifies solid and dashed lines. All plotted values are available in the following accessible table. Cropped price axis: ₹900–₹1,100, not zero. The curve compares yields of 2%–8%; it is not a price history or forecast.

    Annual effective yield (%)

    Drag the slider to read each line at that point.
    • 5% yield · price at face value
    • 7% yield · price below face value

    Cropped price axis: ₹900–₹1,100, not zero. The curve compares yields of 2%–8%; it is not a price history or forecast.

    Complete plotted values: Bond price (₹) against Annual effective yield (%)
    SeriesAnnual effective yield (%)Bond price (₹)
    Fixed cash flows · changing yield21,086.5164981794
    Fixed cash flows · changing yield2.251,078.9221638088
    Fixed cash flows · changing yield2.51,071.4005890803
    Fixed cash flows · changing yield2.751,063.9508979644
    Fixed cash flows · changing yield31,056.5722270979
    Fixed cash flows · changing yield3.251,049.2637255702
    Fixed cash flows · changing yield3.51,042.0245547137
    Fixed cash flows · changing yield3.751,034.8538878988
    Fixed cash flows · changing yield41,027.7509103323
    Fixed cash flows · changing yield4.251,020.7148188597
    Fixed cash flows · changing yield4.51,013.7448217717
    Fixed cash flows · changing yield4.751,006.8401386138
    Fixed cash flows · changing yield51,000
    Fixed cash flows · changing yield5.25993.2236474296
    Fixed cash flows · changing yield5.5986.5103331076
    Fixed cash flows · changing yield5.75979.859319769
    Fixed cash flows · changing yield6973.2698805054
    Fixed cash flows · changing yield6.25966.7412985956
    Fixed cash flows · changing yield6.5960.2728673391
    Fixed cash flows · changing yield6.75953.8638898931
    Fixed cash flows · changing yield7947.5136791117
    Fixed cash flows · changing yield7.25941.2215573886
    Fixed cash flows · changing yield7.5934.9868565032
    Fixed cash flows · changing yield7.75928.8089174685
    Fixed cash flows · changing yield8922.6870903826
    The coupon stays ₹50 when the yield changes: numerical comparison
    What stays fixed / changesAt 5% yieldAt 7% yield
    Cash flows received₹50 in year 1; ₹50 in year 2; ₹1,050 in year 3The same three payments
    Present price₹1,000.00₹947.51

    At 5%, the price equals the ₹1,000 face value. At 7%, it falls to ₹947.51 because the unchanged payments are discounted more heavily. The ₹50 coupon does not reset to ₹70.

    Teaching convention: ₹1,000 face value, ₹50 annual coupon, three annual payments, principal repaid with the last coupon. Ignore accrued interest, default, tax and costs. This is not the semiannual US Treasury coupon or quotation convention.

    See the three discounted payments

    Yield is an annual effective discount rate here. Discount every coupon and the returned principal; coupon divided by current price is a different measure called current yield.

    1. Price(y) = 50/(1+y) + 50/(1+y)² + 1,050/(1+y)³
    2. Price(5%) = ₹1,000.00
    3. Price(7%) = ₹947.51

    A long yield can move while the policy target stays put. It reflects expected future short rates plus a term premium, the extra pay for bearing longer-term interest-rate risk. New York Fed research estimates that premium. It cannot be observed directly, and different models give different estimates. A change in expected policy and a change in the premium can reinforce or cancel each other. So the ten-year yield need not follow today’s policy decision point for point.

    The habit to build is to name the field before explaining its move. An expected decision may add little. Unchanged policy with surprising guidance can change the outlook. A US long yield is context for the Indian market. Choosing the rate for a rupee option calculation still needs the cash-flow currency, the remaining maturity and the model convention, which the carry example now makes explicit.

    Chapter 3Data fields4 min read

    What does the macro number actually measure?

    Read what a macro number actually measures.

    Before you compare a US announcement with a NIFTY option quote, read the field name and its units. FRED, the St. Louis Fed’s data service, gives each economic series an identifier. The identifier helps you find the same measurement again, though another platform may use its own symbols or show a transformed version. An index level, an annual interest rate and a monthly change in payroll jobs answer different questions.

    Seasonally adjusted (SA) data remove estimated repeating seasonal patterns, which helps month-to-month comparison. Not seasonally adjusted (NSA) data keep them. US headline CPI, the Consumer Price Index, usually reports a seasonally adjusted monthly change and an unadjusted 12-month change. All-items CPI and core CPI are different baskets, and core leaves out food and energy. Match the basket, the interval and the adjustment before calling two readings comparable.

    Read the field before the headline

    A series ID tells you what was measured

    These are FRED identifiers. Another chart provider may use a different symbol or apply a transformation.

    1. DGS10

      10-year constant-maturity Treasury market yield; a curve point, not a coupon

      • Native unitsAnnualised percent
      • Frequency / adjustmentDaily; not seasonally adjusted
    2. DFF

      Effective federal funds rate; the overnight transaction-rate summary

      • Native unitsAnnualised percent
      • Frequency / adjustmentDaily, 7-day; not seasonally adjusted
    3. DFEDTARL / DFEDTARU

      Federal funds policy target: lower / upper limit

      • Native unitsAnnualised percent
      • Frequency / adjustmentDaily, 7-day; not seasonally adjusted
    4. CPIAUCSL

      CPI-U, all items, US city average; price-index level

      • Native unitsIndex, 1982–84 = 100
      • Frequency / adjustmentMonthly; seasonally adjusted
    5. CPIAUCNS

      The matching unadjusted all-items CPI-U index level

      • Native unitsIndex, 1982–84 = 100
      • Frequency / adjustmentMonthly; not seasonally adjusted
    6. PAYEMS

      Total nonfarm payroll employment level; establishment-survey jobs

      • Native unitsThousands of persons (FRED label)
      • Frequency / adjustmentMonthly; seasonally adjusted
    Table view of the same rows
    A series ID tells you what was measured: numerical comparison
    FRED series IDMeasurementNative unitsFrequency / adjustment
    DGS1010-year constant-maturity Treasury market yield; a curve point, not a couponAnnualised percentDaily; not seasonally adjusted
    DFFEffective federal funds rate; the overnight transaction-rate summaryAnnualised percentDaily, 7-day; not seasonally adjusted
    DFEDTARL / DFEDTARUFederal funds policy target: lower / upper limitAnnualised percentDaily, 7-day; not seasonally adjusted
    CPIAUCSLCPI-U, all items, US city average; price-index levelIndex, 1982–84 = 100Monthly; seasonally adjusted
    CPIAUCNSThe matching unadjusted all-items CPI-U index levelIndex, 1982–84 = 100Monthly; not seasonally adjusted
    PAYEMSTotal nonfarm payroll employment level; establishment-survey jobsThousands of persons (FRED label)Monthly; seasonally adjusted

    A CPI index level is not an inflation percentage. Calculate a percentage change over the intended interval and adjustment basis. A PAYEMS level is not the month’s jobs gain: subtract matching-vintage monthly levels, then multiply by 1,000 to express jobs.

    Definitions: FRED series pages, Federal Reserve H.15 and BLS CES. Modern EFFR is a volume-weighted median. Observation date, release time and data vintage are separate; missing observations are not zero. These US rates are macro context, not automatic INR option-model inputs.

    Take hypothetical SA CPI index levels of 300.0 and 301.2 in consecutive months. Monthly inflation is (301.2 / 300.0 − 1) × 100 = 0.4%. A separate NSA comparison of 290.0 a year earlier with 301.6 now gives 4.0% year on year. Neither number is the raw index level. Payroll levels (PAYEMS) of 159,000 and 159,150, measured in thousands and taken from the same data vintage, mean a gain of 150,000 jobs. The establishment survey counts jobs, so a person working at two establishments can be counted twice.

    A reading needs something to compare against. In a fictional example, headline CPI is 4.0% year on year, a fictional private survey expected 3.8%, and the previous reading was 3.9%. The surprise against the survey is +0.2 percentage points, and the change from the previous reading is +0.1. Assume the imaginary provider “Example Survey” froze its estimate at 17:00 IST before the release. The provider, the cutoff and all three figures are teaching assumptions. An official BLS release gives actual data and revisions, not a universal private forecast. A surprise does not by itself set the direction of NIFTY or of an option premium.

    Keep the period measured apart from the time of publication. A September figure drawn at the start of September on a monthly chart was not necessarily available then. A data vintage is the version known on a given date. Payrolls are revised monthly and benchmarked annually. BLS applies new CPI seasonal factors each year to the previous five years of SA history, while ordinary NSA CPI-U does not get that seasonal revision, though corrections and other CPI products need their own checks. Record the first print and revised readings separately. Explaining a past decision with today’s revised history creates look-ahead bias.

    ALFRED archives past data vintages, which helps you rebuild what was known. For an intraday study, a vintage date cannot show access before a given release hour. Pair the original timestamped release with when the feed actually had it and with the option quote’s timestamp. Keep the series ID, units, adjustment, transformation, observation date, release time and retrieval time. A later FRED update is a separate clock. A missing observation is not a zero.

    Chapter 4INR carry3 min read

    Why a rupee option needs a rupee carry assumption

    Choose a rupee carry assumption for a rupee option.

    Owning a basket of shares commits money today and may earn dividends while you hold it. A forward agreement postpones payment to a stated future date. Cost of carry links the two routes: financing raises the forward reference, and dividends earned by the share owner lower it. For an index, the dividend yield is the distributions from the basket as a share of its value.

    Our hypothetical NIFTY example fixes spot at 24,500 and the horizon at 30 calendar days. Assume an annual INR financing and discount rate of 6.5% (r) and an annual dividend yield of 1.2% (q). Both use continuous compounding, which means growth is modelled as continuous rather than paid on fixed dates. The dividend-adjusted carry formula gives a forward reference of about 24,606.96 points. This is a financing relationship under stated assumptions. It is not a forecast that NIFTY will reach that level, and not an executable futures quote.

    Hypothetical NIFTY carry reference

    Financing and dividends pull the reference apart

    Hold the spot index at 24,500. Compare the model forward for different remaining maturities, using a 6.5% INR rate and two assumed dividend yields.

    • Dividend yield 1.2% · below the rateSolid line
    • Dividend yield 8% · above the rateDashed line

    Model forward (index points)

    Model forward (index points) against Remaining maturity (calendar days)Exact supplied series. Legend identifies solid and dashed lines. All plotted values are available in the following accessible table. Cropped axis: 24,450–24,650 points, not zero. These are maturity comparisons at one fixed spot; neither line predicts where NIFTY will trade.

    Remaining maturity (calendar days)

    Drag the slider to read each line at that point.

    Cropped axis: 24,450–24,650 points, not zero. These are maturity comparisons at one fixed spot; neither line predicts where NIFTY will trade.

    Complete plotted values: Model forward (index points) against Remaining maturity (calendar days)
    SeriesRemaining maturity (calendar days)Model forward (index points)
    Dividend yield 1.2% · below the rate024,500
    Dividend yield 1.2% · below the rate124,503.5577925458
    Dividend yield 1.2% · below the rate224,507.1161017401
    Dividend yield 1.2% · below the rate324,510.6749276579
    Dividend yield 1.2% · below the rate424,514.2342703742
    Dividend yield 1.2% · below the rate524,517.7941299642
    Dividend yield 1.2% · below the rate624,521.3545065028
    Dividend yield 1.2% · below the rate724,524.9154000651
    Dividend yield 1.2% · below the rate824,528.4768107262
    Dividend yield 1.2% · below the rate924,532.0387385612
    Dividend yield 1.2% · below the rate1024,535.6011836451
    Dividend yield 1.2% · below the rate1124,539.1641460532
    Dividend yield 1.2% · below the rate1224,542.7276258605
    Dividend yield 1.2% · below the rate1324,546.2916231422
    Dividend yield 1.2% · below the rate1424,549.8561379734
    Dividend yield 1.2% · below the rate1524,553.4211704293
    Dividend yield 1.2% · below the rate1624,556.9867205849
    Dividend yield 1.2% · below the rate1724,560.5527885156
    Dividend yield 1.2% · below the rate1824,564.1193742965
    Dividend yield 1.2% · below the rate1924,567.6864780028
    Dividend yield 1.2% · below the rate2024,571.2540997097
    Dividend yield 1.2% · below the rate2124,574.8222394925
    Dividend yield 1.2% · below the rate2224,578.3908974263
    Dividend yield 1.2% · below the rate2324,581.9600735864
    Dividend yield 1.2% · below the rate2424,585.5297680481
    Dividend yield 1.2% · below the rate2524,589.0999808866
    Dividend yield 1.2% · below the rate2624,592.6707121772
    Dividend yield 1.2% · below the rate2724,596.2419619952
    Dividend yield 1.2% · below the rate2824,599.8137304159
    Dividend yield 1.2% · below the rate2924,603.3860175147
    Dividend yield 1.2% · below the rate3024,606.9588233667
    Dividend yield 8% · above the rate024,500
    Dividend yield 8% · above the rate124,498.9931713733
    Dividend yield 8% · above the rate224,497.9863841223
    Dividend yield 8% · above the rate324,496.9796382453
    Dividend yield 8% · above the rate424,495.9729337405
    Dividend yield 8% · above the rate524,494.9662706063
    Dividend yield 8% · above the rate624,493.959648841
    Dividend yield 8% · above the rate724,492.9530684429
    Dividend yield 8% · above the rate824,491.9465294102
    Dividend yield 8% · above the rate924,490.9400317412
    Dividend yield 8% · above the rate1024,489.9335754344
    Dividend yield 8% · above the rate1124,488.9271604879
    Dividend yield 8% · above the rate1224,487.9207869001
    Dividend yield 8% · above the rate1324,486.9144546692
    Dividend yield 8% · above the rate1424,485.9081637937
    Dividend yield 8% · above the rate1524,484.9019142716
    Dividend yield 8% · above the rate1624,483.8957061015
    Dividend yield 8% · above the rate1724,482.8895392815
    Dividend yield 8% · above the rate1824,481.88341381
    Dividend yield 8% · above the rate1924,480.8773296853
    Dividend yield 8% · above the rate2024,479.8712869057
    Dividend yield 8% · above the rate2124,478.8652854694
    Dividend yield 8% · above the rate2224,477.8593253748
    Dividend yield 8% · above the rate2324,476.8534066202
    Dividend yield 8% · above the rate2424,475.8475292038
    Dividend yield 8% · above the rate2524,474.841693124
    Dividend yield 8% · above the rate2624,473.8358983792
    Dividend yield 8% · above the rate2724,472.8301449674
    Dividend yield 8% · above the rate2824,471.8244328872
    Dividend yield 8% · above the rate2924,470.8187621368
    Dividend yield 8% · above the rate3024,469.8131327144
    Financing and dividends pull the reference apart: numerical comparison
    30-day caseModel forward (points)Forward − spot (points)
    Rate 6.5%; yield 1.2%24,606.96+106.96
    Rate 6.5%; yield 8%24,469.81−30.19

    When the financing rate exceeds the dividend yield, this reference sits above spot. When the dividend yield exceeds the rate, it sits below spot. A positive or negative basis is a model relationship, not bullish or bearish advice.

    S = 24,500; T = 30/365 years; r = 6.5% and q = 1.2% or 8%, both annual continuously compounded assumptions. Use an INR input for this rupee model. The Fed target or a Treasury yield is not automatically that input. Real futures quotes also reflect funding, dividends, liquidity and market frictions.

    See how the carry reference is calculated

    The formula compares financing with a continuous dividend yield. It is a frictionless reference; it does not supply an executable price or expected future spot.

    1. F = S × exp((r − q) × T); basis = F − S
    2. 24,500 × exp((0.065 − 0.012) × 30/365) ≈ 24,606.96 points
    3. 24,500 × exp((0.065 − 0.080) × 30/365) ≈ 24,469.81 points

    The comparison also shows that a forward reference need not sit above spot. In a separate case with an assumed dividend yield of 8% and the same 6.5% financing rate, dividends outweigh financing in this model and the reference falls below 24,500, to about 24,469.81. The two curves compare maturities with spot held fixed. Neither line is the path of a trade, and neither makes the index bullish or bearish.

    Keep the currency and expiry attached to each input. A rupee cash flow needs an INR rate or discount curve for its own maturity and convention. Copying the Fed target or the US ten-year yield into r breaks that link. The simple model assumes constant rates and a continuous dividend yield. Real financing terms, collateral, uncertain dividends and dealing frictions can move traded prices. Treat these as reasons to check the convention, and do not take 6.5% as the exchange’s universal input.

    Chapter 5Rho3 min read

    Rho changes one input at a time

    See how a change in the rate moves model value.

    Rho measures how sensitive an option’s model value is to the interest-rate input, with the other inputs fixed. In the European Black–Scholes–Merton model used here, a higher INR rate raises the Call value and lowers the Put value, for the same spot, strike, dividend yield, volatility and time. The strike you pay later is worth less today at a higher discount rate, and the financing link with the underlying changes too. This explains one isolated model effect. It is not the response of a traded option to a Fed announcement.

    Carry the same hypothetical NIFTY spot of 24,500 into a Call and a Put with strike 24,500, 30 calendar days left, annual volatility 18% and dividend yield 1.2%. Change only the continuously compounded INR rate, from 6.5% to 7.5%. That is one percentage point, or 100 basis points. Full repricing raises the Call’s model value by ₹10.54 per unit and lowers the Put’s by ₹9.48 per unit. The figure uses one scale and shows the whole before-and-after comparison.

    Hypothetical European option model

    Isolate the INR rate before reading Rho

    Reprice matching Call and Put options across rates of 5.5%–7.5%. Spot, strike, remaining time, dividend yield and volatility stay fixed.

    • Call · CESolid line
    • Put · PEDashed line

    Option model value (₹ per unit)

    Option model value (₹ per unit) against Annual INR model rate (%)Exact supplied series. Legend identifies solid and dashed lines. All plotted values are available in the following accessible table. Common cropped axis for both contracts: ₹425–₹575 per unit, not zero. Every plotted value comes from full BSM repricing. Contract colours identify Call and Put; they do not show realised profit.

    Annual INR model rate (%)

    Drag the slider to read each line at that point.
    • 6.5% base · local Rho measured here

    Common cropped axis for both contracts: ₹425–₹575 per unit, not zero. Every plotted value comes from full BSM repricing. Contract colours identify Call and Put; they do not show realised profit.

    Complete plotted values: Option model value (₹ per unit) against Annual INR model rate (%)
    SeriesAnnual INR model rate (%)Option model value (₹ per unit)
    Call · CE5.5547.298206552
    Call · CE5.6548.3352343216
    Call · CE5.7549.3734492008
    Call · CE5.8550.4128508962
    Call · CE5.9551.4534391111
    Call · CE6552.4952135458
    Call · CE6.1553.5381738971
    Call · CE6.2554.5823198591
    Call · CE6.3555.6276511223
    Call · CE6.4556.6741673744
    Call · CE6.5557.7218682995
    Call · CE6.6558.7707535791
    Call · CE6.7559.820822891
    Call · CE6.8560.8720759102
    Call · CE6.9561.9245123085
    Call · CE7562.9781317543
    Call · CE7.1564.0329339132
    Call · CE7.2565.0889184475
    Call · CE7.3566.1460850162
    Call · CE7.4567.2044332754
    Call · CE7.5568.2639628778
    Put · PE5.5460.9472089855
    Put · PE5.6459.979702981
    Put · PE5.7459.0135488356
    Put · PE5.8458.0487462423
    Put · PE5.9457.0852948908
    Put · PE6456.1231944679
    Put · PE6.1455.1624446569
    Put · PE6.2454.2030451383
    Put · PE6.3453.2449955892
    Put · PE6.4452.2882956835
    Put · PE6.5451.3329450922
    Put · PE6.6450.3789434828
    Put · PE6.7449.4262905198
    Put · PE6.8448.4749858647
    Put · PE6.9447.5250291757
    Put · PE7446.5764201077
    Put · PE7.1445.6291583128
    Put · PE7.2444.6832434396
    Put · PE7.3443.7386751338
    Put · PE7.4442.7954530379
    Put · PE7.5441.8535767911
    Isolate the INR rate before reading Rho: numerical comparison
    Rate-only comparisonCall · CE (₹ per unit)Put · PE (₹ per unit)
    Model value at 6.5%₹557.72₹451.33
    Model value at 7.5%₹568.26₹441.85
    +100 bp: local Rho estimate+₹10.48−₹9.55
    +100 bp: full model-value change+₹10.54−₹9.48

    Rho is the local rate slope at the chosen inputs. Raising the rate by one percentage point lifts the Call and lowers the Put in this isolated example. Full repricing differs slightly from the local estimate because the slope changes along the way. These are model-value changes, not executed trading results.

    S = K = 24,500; 30 calendar days; dividend yield 1.2%; annual IV input 18%. Rates and yield are continuous annual assumptions; model premiums are ₹ per unit under a one-rupee-per-index-point convention. European BSM excludes jumps, spreads, fees, taxes, funding adjustments and liquidity constraints. No probabilities or live quotes are implied.

    See the Rho units and full repricing

    The shared Greek returns Rho for a one-percentage-point rate change, not a 1% relative increase. The estimate uses the base slope; the exact difference subtracts full-precision model values before rounding.

    1. 6.5% → 7.5% = +1 percentage point = +100 basis points
    2. Call Rho per 1 pp = K × T × exp(−rT) × N(d₂) / 100
    3. Put Rho per 1 pp = −K × T × exp(−rT) × N(−d₂) / 100
    4. Local estimate: Call +₹10.48; Put −₹9.55 per unit
    5. Full repricing: Call +₹10.54; Put −₹9.48 per unit

    A Greek is a local slope at the starting inputs. The Rho estimates at the base inputs for a 100-basis-point change are +₹10.48 for the Call and −₹9.55 for the Put per unit. They differ a little from the full changes of +₹10.54 and −₹9.48 because the slope itself changes as the rate moves. Use the local estimate to see sensitivity, and reprice the whole model for a finite change. Premium points are shown as rupees per unit, at one rupee per index point, with no lot quantity assumed.

    Time to expiry affects rate sensitivity, but “ignore Rho for weekly options” is too broad. How much it matters depends on the contract, the size of any rate change and what else is moving. A macro release can move spot and the contract’s implied volatility while time passes, and together they can outweigh the rate-only effect. These are model-value changes before dealing costs. A real buyer’s or seller’s result needs actual entry and exit prices. A correct view on rates or direction does not by itself make a profit.

    Chapter 6Event premiums3 min read

    Why can a correct direction still leave an option worth less?

    Learn how volatility can outweigh a correct direction.

    Before an announcement, the range of possible outcomes can change the price of protection. Implied volatility (IV) is the annual volatility figure that reproduces a chosen option price in a given pricing model with its other inputs. It belongs to that contract and quote. An expiry that contains an event can show a different IV from its neighbour, but an approaching event does not force every option’s IV or premium to rise.

    As information arrives, some uncertainty clears and IV may fall. A sharp fall is often called an IV crush. Uncertainty can also persist, or a new risk can appear, leaving IV high or higher. Spot, time left, interest rates, dividends and the volatility surface can all move together. So a correct bullish call on NIFTY does not guarantee that a bought Call gains value. A correct bearish call does not guarantee that a bought Put gains.

    The illustration uses hypothetical European NIFTY options with spot and strike both at 24,500, 30 calendar days left, IV 18%, a continuously compounded INR model rate of 6.5% and a continuous dividend yield of 1.2%. One day later, 29 days remain. Hold the strike, rate and yield fixed and fully reprice each spot and IV combination. Premium points assume one point equals ₹1 per unit. No lot quantity, market quote or fill is assumed.

    Hypothetical NIFTY · same strike and expiry

    A bullish spot move can still leave a Call worth less

    Fully reprice both European options after one calendar day. Each later row is an alternative state, with no assigned probability.

    1. Base: spot 24,500 · 30 days · IV 18%₹557.72

      Put model value ₹451.33.

    2. Same spot · lower IV: spot 24,500 · 29 days · IV 14%₹438.12

      Call −₹119.60 from base. Put model value ₹335.26 (−₹116.07).

    3. Spot +0.25% · lower IV: spot 24,561.25 · 29 days · IV 14%₹472.56

      Call −₹85.17 from base. Put model value ₹308.51 (−₹142.82).

    4. Spot +0.25% · higher IV: spot 24,561.25 · 29 days · IV 22%₹690.48

      Call +₹132.76 from base. Put model value ₹526.43 (+₹75.10).

    With unchanged spot and lower IV, both model values fall. A bullish 0.25% spot rise still leaves the Call model value lower when IV falls to 14%. At that same later spot and time, 22% IV leaves both options worth more than at the start. Direction, IV and remaining time act together; a post-event IV fall is not inevitable.

    Hypothetical BSM values, not quotes or fills. Fixed strike 24,500, annual continuously compounded INR rate 6.5% and dividend yield 1.2%; time uses calendar days/365. One premium point is assumed to equal ₹1 per unit. Call blue / Put beige identifies the contract. Signs show the change from base. No executed profit, charges, lot quantity or event probability is assumed.

    How the model-value changes are calculated

    Recompute the complete BSM formula at each stated spot, time and volatility. Subtract the unrounded base value, then round the displayed result; a local Greek estimate is not used for these finite changes.

    1. d1 = [ln(S/K) + (r − q + σ²/2)T] / (σ√T); d2 = d1 − σ√T
    2. C = S·e^(−qT)·N(d1) − K·e^(−rT)·N(d2)
    3. P = K·e^(−rT)·N(−d2) − S·e^(−qT)·N(−d1)
    4. Change = later model value − base model value; the later states all use T = 29/365.

    Read the small bullish move together with the change in volatility. When spot rises 0.25% but IV falls to 14%, the Call’s model value falls despite the favourable direction. With the same later spot and time but IV at 22%, both Call and Put model values end above their starting values. These are alternative model states with no probabilities attached. They are not a forecast of the announcement, and not evidence that IV always falls afterwards.

    A change in model value is not a trading result. A bought option’s real result needs its actual purchase and sale prices, the matched quantity and costs. A short option can gain when value falls, yet stays exposed to adverse repricing, gaps, execution and funding needs. A higher pre-event premium is the compensation a price demands. It is not profit its seller has already earned.

    India VIX is a related but different view. NSE derives this annualised volatility measure from NIFTY option bid and ask prices for the next 30 calendar days. It combines option information across strikes and expiries. It is not the IV of your strike, not Bank NIFTY IV, not realised volatility and not a forecast of direction. Its movement cannot replace the quote, spread, timestamp and remaining life of your own contract.

    Chapter 7Event clocks3 min read

    Which event clock matters for the chosen Indian contract?

    Convert event times and match them to your contract.

    A macro calendar shows when information is scheduled to arrive. Begin with the issuing institution: BLS for US inflation and jobs releases, the Federal Reserve for FOMC communications and RBI for its MPC announcements. Check the specific date and event, and do not treat a meeting window as one release. The Fed statement, the projections where issued, the press conference and the later minutes are different communications. RBI’s yearly MPC schedule gives dates, but not by itself the announcement hour.

    US Eastern Time (ET) switches between daylight time, EDT at UTC−04:00, and standard time, EST at UTC−05:00. Indian Standard Time is UTC+05:30 all year. Add 9 hours 30 minutes in EDT or 10 hours 30 minutes in EST, and carry over the date if it changes. Convert with the real date, using America/New_York and Asia/Kolkata. Writing “EST” all year can put an event an hour away from its true Indian time.

    ET changes offset · IST does not

    Convert the release clock and keep the calendar date

    Use the named event’s published time and its actual date. Eastern Time means EDT or EST, depending on that date.

    1. BLS CPI or jobs release08:30 ET
      • 1EDT: 18:00 IST
      • 2EST: 19:00 IST
    2. FOMC statement14:00 ET
      • 1EDT: 23:30 IST
      • 2EST: 00:30 IST, next day
    3. FOMC press conference14:30 ET
      • 1EDT: 00:00 IST, next day
      • 2EST: 01:00 IST, next day

    A meeting date is not a release hour; a statement and a later press conference are different events. Check the option’s final reference time against the information’s actual availability. If that reference was already fixed, a later realised release cannot change that contract’s fixed payoff. Anticipation can affect earlier premiums, while a later expiry can remain exposed.

    Clock arithmetic: IST is UTC+05:30, so add 9 hours 30 minutes to EDT or 10 hours 30 minutes to EST. BLS and Fed calendars establish event schedules; NIST and CSIR-NPL establish offsets. Verify event-specific timing, holidays and feed availability. An RBI MPC meeting schedule alone supplies no exact release hour. Scheduled publication is not evidence of an executable quote or a filled order.

    An 08:30 ET release is 18:00 IST in EDT or 19:00 IST in EST, on the same date. A 14:00 ET statement is 23:30 IST in EDT, but 00:30 IST the next date in EST. A 14:30 ET press conference is midnight or 01:00 IST on the next date. These are clock conversions of stated hours. Check the event’s official schedule and any change before relying on them.

    Now compare when the information arrives with your option’s expiry and final payoff reference. Check the current exchange calendar, holidays and the fixing cutoff. If the final reference is fixed before a US evening release, that later news cannot change the payoff that is already fixed. Hope of the news may have moved premiums earlier, and a later-expiry contract can still face it. A later settlement payment does not reopen a reference already fixed.

    A useful journal records the official event and its source, local and IST timestamps, the period measured, the forecast provider and cutoff where known, the actual and revised readings, and your option’s expiry, strike and Call or Put. Keep spot moves, contract IV, India VIX and bid–ask changes apart, each with its time. A missing or stale quote stays missing or stale. A scheduled release hour does not prove instant feed access, a price you can trade or a filled order.

    Use that record to explain what changed and what is still uncertain, not as a rule for direction or profit. The next lesson joins macro context to the contract’s own pricing inputs. Keep the three layers apart: a possible channel, a model comparison and an observed execution.

    Before you go

    Check yourself

    5 questions from this lesson. Pick an answer to see why, then slide on to the next.

    Question 1 of 5

    A chart labelled DGS10 rises. What measurement has changed?

    Questions readers ask

    Common questions

    Does a rise in the US 10-year Treasury yield mean NIFTY must fall?

    No. The reason for the yield change, dollar conditions, investor exposures and existing expectations matter. Domestic policy, earnings and buying can alter or offset external pressure. A yield change describes a market rate; it does not establish a fixed sign, magnitude or timing for NIFTY, the rupee or an option premium.

    What is the difference between the Fed target range, EFFR and DGS10?

    The target range is the FOMC’s overnight policy setting. The effective federal funds rate, EFFR, summarises overnight unsecured dollar transactions using a volume-weighted median under its modern methodology; FRED’s DFF records that effective rate. DGS10 is a daily ten-year constant-maturity Treasury market yield from a curve, rather than a coupon or policy target. DFEDTARL and DFEDTARU identify the target’s lower and upper limits.

    Can I use the Fed rate as the interest-rate input for a NIFTY option?

    The US overnight policy setting is not automatically an appropriate INR discount or carry input. Currency, expiry horizon and compounding must match the chosen valuation convention. In the lesson’s European spot-based model, raising the assumed INR rate with other inputs fixed raises Call value and lowers Put value. That isolated Rho comparison does not predict the response to an actual Fed announcement.

    Are CPIAUCSL and PAYEMS already inflation and monthly jobs-change figures?

    No. CPIAUCSL is a seasonally adjusted monthly all-items CPI-U index level, with 1982–84 = 100. An inflation percentage requires a stated percentage-change interval and adjustment basis; CPIAUCNS is the matching unadjusted series. PAYEMS is a seasonally adjusted monthly nonfarm payroll level in thousands. Subtract comparable monthly levels from the same vintage and multiply by 1,000 to express the change in jobs.

    How do I calculate a data surprise without confusing it with the previous reading?

    Compare the actual release with the specified pre-release forecast for the same measure, units and adjustment. In the fictional CPI example, actual 4.0% minus private consensus 3.8% is +0.2 percentage points. Against the previous 3.9% reading, the change is +0.1 percentage points, a different comparison. Record the forecast provider and cutoff, and distinguish the previous first print from any revised print.

    Is India VIX the implied volatility of my NIFTY option?

    No. India VIX is an annualised 30-calendar-day volatility measure derived from NIFTY option bid–ask prices across the relevant option set. A single contract’s IV depends on its strike, expiry, price reference and model inputs. Neither measure is a signed direction forecast, and India VIX does not directly describe Bank NIFTY IV or realised volatility.

    Can a Call lose value after a bullish move, and is an IV crush guaranteed?

    A bought Call can lose value despite a bullish underlying move if changes in IV, time and other inputs offset it. In the hypothetical full repricing, spot rises 0.25%, one day passes and IV falls from 18% to 14%, leaving the Call model value lower. An IV fall is not guaranteed: the alternative 22% IV state leaves both model values higher. Executed profit or loss still requires actual fills, matched quantity and costs.

    Can a late US release change an Indian option payoff that is already fixed?

    If the chosen contract’s final payoff reference was fixed before the realised release, the later news cannot change that fixed payoff. Earlier expectations could have affected its earlier premium, while a later expiry can remain exposed. Check the actual release availability and the contract’s fixing cutoff. ET conversions depend on daylight saving: a 14:00 statement is 23:30 IST during EDT or 00:30 IST the next date during EST.

    Sources for further reading

    29 sources

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