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Advanced Options · ADV-08a · Advanced

Call calendar

Why do different expirations require a different valuation question?

One concept per page · original written lesson · 488 prose words · authored, not installed or production-approved

What you will learn and prerequisites

Read first: Read the whole multi-leg ticket, Vega

A call calendar sells a near-term clock and buys a longer one at the same strike. It can express limited near-term movement while retaining later uncertainty. The trade is about relative value across time, not simply collecting fast decay.

The construction

Both options are 100 calls. Only expiration differs. Selling the earlier call offsets purchase cost while surrendering some near-term upside. If the strikes also differed, the structure would be a diagonal.

Two clocks and two volatility assumptions

The short expires 2026-11-20, 45 days after entry. The long expires 2027-02-19, 136 days after entry. Opening example prices use 30% front IV and 25% back IV, continuous rate 3% and yield 1%. Ticket premiums are rounded to cents and those rounded values define opening cash.

A front-event IV decline and a back-expiry IV decline affect different rights. A single aggregate Vega cannot describe every nonparallel term-structure change. The future long-option mark also depends on remaining time, spot and the assumed volatility surface.

Read the observation date before the curve

At the short expiry, the long option is still alive. Valuing both by intrinsic at that date deletes the very time value the calendar or diagonal purchased. The three curves therefore show alternative remaining-IV assumptions rather than one guaranteed payoff.

The demonstration uses European cash-settled valuation and assumes both legs are liquidated at the short-expiry observation. Real American equity options may be assigned earlier and create share obligations. A later option does not automatically settle an earlier assignment.

Management

Choose a decision date before short expiry. Closing both, retaining a justified long or selling a newly evaluated short are separate choices. Repeated sales are new trades. A rapid rally can create short-call assignment risk before the planned date.

Fictional teaching ticket · no order submission

Call calendar

QLT • reference spot $100 • independent illustrative prices • quote date 2026-10-06

Read action, quantity, type, strike, expiry, premium and multiplier before the payoff
ActionQtyTypeStrikeExpiryPremium/unitMultiplier
BUY1Call1002027-02-196.41100
SELL1Call1002026-11-204.31100
Opening option cash (+received / −paid)-210 USD
Entry option fees in cost variant1.3 USD
Shares included0
Different expiries: no single final-payoff claim.

The short leg reaches intrinsic at the first expiry; the long leg remains live and is revalued under each stated IV assumption. A plotted peak is not an unconditional maximum profit.

$0.65 per option contract on entry only; later liquidation/assignment/funding costs excluded.

Original rounded BSM teaching premiums, not quotes. Curves are conditional liquidation at the first expiry: short intrinsic plus the still-live long option valued with a stated remaining IV. They are not a same-expiry payoff, unconditional maximum profit or American-exercise simulation.

A priced two-expiry walkthrough

Buy one 2027-02-19 100 call at 6.41; sell one 2026-11-20 100 call at 4.31. Both represent 100 units. Opening debit is $210.00 before the illustrative 1.30 entry fees.

At the short-expiry observation, keep stock at 100 and assume 25% IV for the remaining long. Price the long with 91 days left and subtract the short's intrinsic liability. After subtracting the original debit, modeled liquidation P/L is $310.40 before costs or $309.10 after entry fees only.

With stock unchanged but remaining IV at 18%, the result is $172.01. At 35% it is $507.93. The comparison isolates uncertainty still owned after the nearer clock ends. It does not establish a unique maximum profit or an executable fill. Exit fees, bid–ask costs and assignment can change the outcome.

Open the calculation without leaving this lesson

Calculate the near-expiry liquidation

Same-page calculation. Closing restores the lesson position and originating control.

P/L = 100 × [BSM_long(S, remaining time, back IV) − short intrinsic(S)] − opening debit − costs

This is a chosen exit-horizon model, not both contracts' joint final payoff.

  1. Opening debit=(6.41−4.31)×100=210.00.
  2. Remaining long time=(136−45)/365=0.249315068 years.
  3. At S=100 and back IV=25%, P/L before costs=310.399333332.
  4. Opening fees only=1.30.
Modeled P/L $310.40, before costs.

Conditional value at the short expiry—not a final payoff

Vertical: Modeled liquidation P/L per ticket (USD)
Horizontal: Underlying at the first expiry (USD)

Conditional value at the short expiry—not a final payoffFront expiry 2026-11-20; far option still has 91 days. Each curve assumes a different surviving-leg IV. Entry fees of $1.30 are excluded from these curves; subtract them for that cost variant. No unconditional maximum is inferred from these plotted scenarios. The complete numerical data are available below.-274.423-105.03264.3589233.75403.141572.532758595105115125
1. Surviving-long IV 18% (before fees)2. Surviving-long IV 25% (before fees)3. Surviving-long IV 35% (before fees)
Front expiry 2026-11-20; far option still has 91 days. Each curve assumes a different surviving-leg IV. Entry fees of $1.30 are excluded from these curves; subtract them for that cost variant. No unconditional maximum is inferred from these plotted scenarios.
Read the graph as a data table
Complete graph data; original fictional observations or model calculations
Underlying at the first expiry (USD)Surviving-long IV 18% (before fees)Surviving-long IV 25% (before fees)Surviving-long IV 35% (before fees)
75-209.825-205.641-176.522
75.5-209.77-204.903-173.261
76-209.7-204.06-169.753
76.5-209.612-203.1-165.984
77-209.5-202.011-161.943
77.5-209.361-200.779-157.616
78-209.188-199.391-152.991
78.5-208.973-197.831-148.055
79-208.71-196.082-142.795
79.5-208.389-194.129-137.198
80-207.998-191.954-131.25
80.5-207.526-189.537-124.941
81-206.96-186.861-118.255
81.5-206.283-183.904-111.182
82-205.478-180.648-103.708
82.5-204.527-177.069-95.8216
83-203.409-173.148-87.5102
83.5-202.099-168.861-78.7621
84-200.574-164.186-69.5658
84.5-198.806-159.101-59.9101
85-196.766-153.582-49.7842
85.5-194.423-147.607-39.1774
86-191.743-141.151-28.0796
86.5-188.693-134.194-16.4812
87-185.236-126.71-4.37267
87.5-181.333-118.6788.25472
88-176.945-110.07621.4094
88.5-172.032-100.88135.0993
89-166.553-91.073649.3318
89.5-160.466-80.631964.1139
90-153.728-69.536679.4519
90.5-146.298-57.768895.3516
91-138.134-45.3105111.818
91.5-129.194-32.1447128.857
92-119.439-18.2555146.472
92.5-108.829-3.62813164.666
93-97.328111.7509183.443
93.5-84.900127.8939202.805
94-71.512344.8119222.755
94.5-57.134162.5145243.293
95-41.737781.0101264.421
95.5-25.2984100.305286.138
96-7.79452120.406308.445
96.510.7922141.316331.341
9730.4764163.038354.825
97.551.2696185.574378.894
9873.1793208.922403.547
98.596.2095233.083428.781
99120.361258.052454.592
99.5145.629283.826480.978
100172.009310.399507.933
100.5149.49287.765485.454
101128.059265.916463.536
101.5107.7244.843442.172
10288.3928224.537421.359
102.570.1163204.985401.089
10352.8462186.176381.356
103.536.556168.098362.154
10421.2174150.737343.475
104.56.80015134.078325.313
105-6.72723118.107307.661
105.5-19.3975102.809290.509
106-31.244488.1656273.852
106.5-42.302374.1621257.68
107-52.606160.7811241.985
107.5-62.191148.0052226.758
108-71.092435.817211.992
108.5-79.345224.1987197.678
109-86.984113.1325183.806
109.5-94.04352.60019170.368
110-100.557-7.41606157.355
110.5-106.557-16.9343144.758
111-112.077-25.9724132.568
111.5-117.146-34.5482120.775
112-121.795-42.6793109.371
112.5-126.053-50.383298.3471
113-129.947-57.677287.6931
113.5-133.504-64.57877.4005
114-136.748-71.102567.4602
114.5-139.704-77.266957.8631
115-142.394-83.087348.6005
115.5-144.839-88.579139.6634
116-147.06-93.757631.0431
116.5-149.075-98.637622.7307
117-150.901-103.23314.7178
117.5-152.556-107.5596.99576
118-154.054-111.628-0.443773
118.5-155.41-115.454-7.60909
119-156.636-119.048-14.5084
119.5-157.746-122.424-21.1496
120-158.749-125.593-27.5408
120.5-159.657-128.565-33.6897
121-160.478-131.353-39.6039
121.5-161.222-133.966-45.2909
122-161.895-136.415-50.758
122.5-162.507-138.708-56.0125
123-163.062-140.854-61.0614
123.5-163.567-142.864-65.9116
124-164.027-144.744-70.5699
124.5-164.448-146.502-75.0427
125-164.833-148.147-79.3367

The failure case

A fast move away from the common strike can shrink the favorable time-value difference. Front-IV collapse does not guarantee profit if the back IV also falls. The long option does not automatically resolve assignment.

Check your understanding

Try the question before revealing its answer. These are reading checks, not trading certification or a site completion record.

Can the later option be valued only at intrinsic when the short expires?

Reveal the worked answer

No.

It still has time remaining; use an appropriate valuation or executable quote.

Critical risk question

May the highest plotted mark be called a guaranteed maximum profit?

Reveal the worked answer

No.

The curve depends on an assumed future IV and liquidation date.

Takeaway

Read every expiry, strike and volatility assumption. A calendar has matching strikes; a diagonal changes both strike and time.

Sources, assumptions and downloadable script

External references support definitions and conventions. Worked scenarios and prose are original. No current quotes or dealer inventory are claimed.

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