Quantool · Reading CoursesFictional examples · no live trading
Advanced Options · ADV-10a · Advanced

Poor man's covered call

Why do different expirations require a different valuation question?

One concept per page · original written lesson · 489 prose words · authored, not installed or production-approved

What you will learn and prerequisites

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

The informal name describes a long-dated in-the-money call paired with a short-dated call sale. It can need less opening cash than shares, but it is a diagonal—not a legally covered call backed by already-owned stock.

The construction

The long 80 call is an imperfect stock substitute: it has changing Delta, time value, Vega and an expiry. The short 105 call lowers entry cost by accepting a near-term obligation.

Two clocks and two volatility assumptions

The short expires 2026-11-20, 45 days after entry. The long expires 2027-10-15, 374 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

Before each sale, inspect the long's remaining life, Delta and extrinsic value. Track its marked loss as carefully as collected premiums. If the short is assigned, compare a coordinated close with exercise rather than discarding long extrinsic value automatically.

Fictional teaching ticket · no order submission

Poor man's covered call

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
BUY1Call802027-10-1523.37100
SELL1Call1052026-11-202.34100
Opening option cash (+received / −paid)-2,103 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 2027-10-15 80 call at 23.37; sell one 2026-11-20 105 call at 2.34. Both represent 100 units. Opening debit is $2,103.00 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 329 days left and subtract the short's intrinsic liability. After subtracting the original debit, modeled liquidation P/L is $188.40 before costs or $187.10 after entry fees only.

With stock unchanged but remaining IV at 18%, the result is $74.26. At 35% it is $416.72. 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=(23.37−2.34)×100=2103.00.
  2. Remaining long time=(374−45)/365=0.901369863 years.
  3. At S=100 and back IV=25%, P/L before costs=188.397780555.
  4. Opening fees only=1.30.
Modeled P/L $188.40, 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 329 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.-1,974.23-1,367.22-760.201-153.185453.8311,060.85758595105115125
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 329 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)
75-1,742.74-1,547.38-1,266.06
75.5-1,721.26-1,523.85-1,240.56
76-1,699.02-1,499.78-1,214.68
76.5-1,676.02-1,475.15-1,188.41
77-1,652.27-1,449.98-1,161.74
77.5-1,627.76-1,424.27-1,134.7
78-1,602.51-1,398.03-1,107.27
78.5-1,576.52-1,371.25-1,079.46
79-1,549.8-1,343.95-1,051.29
79.5-1,522.34-1,316.12-1,022.74
80-1,494.17-1,287.78-993.822
80.5-1,465.29-1,258.93-964.543
81-1,435.71-1,229.57-934.906
81.5-1,405.44-1,199.71-904.913
82-1,374.49-1,169.36-874.57
82.5-1,342.88-1,138.53-843.878
83-1,310.61-1,107.21-812.844
83.5-1,277.7-1,075.43-781.47
84-1,244.16-1,043.18-749.761
84.5-1,210-1,010.47-717.721
85-1,175.25-977.31-685.354
85.5-1,139.91-943.709-652.665
86-1,103.99-909.673-619.657
86.5-1,067.52-875.209-586.335
87-1,030.51-840.326-552.702
87.5-992.971-805.031-518.765
88-954.92-769.332-484.525
88.5-916.373-733.236-449.989
89-877.344-696.753-415.159
89.5-837.849-659.889-380.041
90-797.903-622.652-344.638
90.5-757.52-585.051-308.955
91-716.716-547.094-272.997
91.5-675.505-508.788-236.766
92-633.902-470.141-200.268
92.5-591.921-431.161-163.507
93-549.576-391.856-126.487
93.5-506.881-352.233-89.2117
94-463.849-312.3-51.6857
94.5-420.494-272.065-13.913
95-376.829-231.53524.1022
95.5-332.866-190.71862.3561
96-288.618-149.62100.844
96.5-244.097-108.25139.563
97-199.314-66.6135178.509
97.5-154.282-24.7186217.677
98-109.0117.4281257.064
98.5-63.510259.8197296.665
99-17.7923102.45336.478
99.528.1333145.311376.498
10074.257188.398416.721
100.5120.569231.703457.145
101167.062275.221497.764
101.5213.725318.945538.577
102260.551362.87579.578
102.5307.531406.989620.764
103354.658451.296662.133
103.5401.924495.787703.68
104449.323540.455745.402
104.5496.847585.295787.296
105544.49630.301829.358
105.5542.245625.47821.586
106540.107620.794813.975
106.5538.07616.271806.523
107536.128611.894799.227
107.5534.277607.659792.083
108532.51603.561785.089
108.5530.824599.597778.242
109529.214595.761771.538
109.5527.676592.05764.974
110526.206588.459758.549
110.5524.799584.984752.258
111523.452581.622746.1
111.5522.162578.368740.071
112520.925575.219734.169
112.5519.738572.172728.391
113518.598569.222722.735
113.5517.503566.368717.198
114516.449563.604711.778
114.5515.435560.928706.471
115514.457558.338701.276
115.5513.514555.829696.191
116512.603553.4691.212
116.5511.723551.046686.338
117510.871548.767681.567
117.5510.046546.558676.896
118509.247544.418672.323
118.5508.47542.343667.846
119507.716540.332663.462
119.5506.982538.382659.171
120506.267536.492654.969
120.5505.571534.657650.855
121504.891532.878646.827
121.5504.227531.151642.883
122503.578529.475639.021
122.5502.943527.848635.24
123502.32526.267631.537
123.5501.71524.732627.91
124501.111523.24624.359
124.5500.522521.791620.881
125499.943520.381617.475

The failure case

The long call can lose substantial intrinsic and time value during a decline. Several months of premium do not ensure the overall program is profitable. A sharp rally can create assignment even with the long call intact.

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.

Read this lesson as Markdown · Download its JavaScript content module