Direct formula.
AskSia substitutes inputs and computes d1, d2, N(d1), N(d2), and the price.
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Black-Scholes Solver: option pricing, formula applied
Type or photograph the option problem. AskSia computes call and put prices using the Black-Scholes formula, with the values of d1, d2, and the standard normal CDF terms shown. Greeks also available.
Works with word problems, equations, code, and science prompts.
∫ 3x² · sin(x) dx
SubjectsCalculusAlgebraPhysicsChemistryBiologyCSStatisticsEcon
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Problem
Find the area enclosed between y = x² and y = 2x in the first quadrant.
1
Find the points of intersection
Set the curves equal: x² = 2x → x(x - 2) = 0, so x = 0 and x = 2.
2
Identify which curve is on top
On (0, 2), 2x > x², so y = 2x is the upper curve.
3
Set up the area integral
A = ∫₀² (2x - x²) dx
4
Integrate term-by-term
A = [ x² - x³/3 ]₀²
Final Answer
A = 4/3 sq. units
Quick Answer
What is the Black-Scholes formula?
The Black-Scholes formula gives the theoretical price of a European call or put option on a non-dividend-paying stock. Call price equals S times N(d1) minus K times e to the negative r times T times N(d2), where S is current stock price, K is strike, r is risk-free rate, T is time to expiry, N is the standard normal CDF, and d1 and d2 depend on S, K, r, T, and volatility sigma. The put price follows from put-call parity. The formula assumes constant volatility, no dividends, European exercise, and lognormally-distributed prices.
98%
solution accuracy
50M+
problems solved
~1.5s
avg solve time
A+
study-ready explanations
Why AskSia Solver
Why students use AskSia for Black-Scholes.
Every step transparent, every answer self-checked.
Standard normal table.
AskSia uses high-precision standard normal CDF rather than table approximations.
Precision
Greeks.
Delta, gamma, theta, vega, rho on request.
Sensitivity
Put-call parity check.
AskSia verifies put-call parity holds for the computed prices.
Verification
Photo, paste, or type.
Snap handwritten or printed problems with your phone, paste from any online homework portal, or type with full LaTeX support.
Multi-modal input
Verified by AskSia.
Every answer gets a self-check pass. Sia catches sign errors and algebra mistakes before you submit your homework.
Self-checked
How It Works
Solve any Black-Scholes problem in three steps.
Step 01
Enter the problem.
Type the expression, paste from your homework, snap a photo, or speak it. AskSia parses your input and identifies the structure.
Input mode
Snap a Photo
Textbook, handwriting, screenshot
Paste Text
Word problem or equation
Calculator
LaTeX-ready equation editor
Step 02
AskSia picks the method.
Based on the problem structure, AskSia chooses the cleanest solution path and labels each step with the operation performed.
1
Set curves equal
x² = 2x → x = 0, x = 2
2
Set up the integral
A = ∫₀² (2x - x²) dx
3
Evaluate
A = [x² - x³/3]₀² = 4/3
Step 03
Read the verified answer.
Final result appears with a substitution or composition check. Practice problems on the same concept are one tap away.
Auto-generated diagram
Region between y = 2x and y = x² — area = 4/3
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Every solve syncs across Web, iOS, and Android — start it at your desk, finish on your phone.
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Full study studio
Split-panel interface with the worked solution on the left, the auto-generated diagram and AI tutor chat on the right.
Drag & drop image upload + LaTeX equation editor
Auto-generated diagrams render alongside steps
Side-panel AI tutor chat for hints and alt methods
Export to PDF, DOCX, Notion, or Google Docs
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Calculus
98% verified
1.4s
Step 4 of 4 · Evaluate
A = [x² - x³/3]₀² = 4/3
Mobile App
Snap & solve, anywhere
Open the camera, frame the problem, and the worked solution plus diagram appear in seconds.
One-tap snap-and-solve on iOS and Android
Pinch-to-zoom diagrams, swipe between steps
Auto-sync solves with your Web library
Offline review of saved solutions and flashcards
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1.4s
Area between y=2x & y=x²
A = 4/3 sq. units ✓
Use Cases
What the Black-Scholes solver covers.
European call.
Standard call price with no dividends.
Call
European put.
Put price via formula or put-call parity.
Put
Greeks for hedging.
Delta for stock hedge, gamma for hedge rebalancing frequency.
Greeks
Implied volatility.
Given the market price, AskSia inverts to find implied vol.
Implied vol
Comparative statics.
How option value changes with S, K, T, r, or sigma.
Sensitivity
Verify your homework.
Paste your candidate answer and the original problem. AskSia walks the work, flags any divergent step, and tells you the correct final value.
Answer check
Compare
AskSia vs. ChatGPT,
Photomath & Symbolab.
General chatbots hallucinate. Photo solvers stop at math. AskSia is built for actual coursework with verified accuracy, visual learning, and every subject.
| Feature | AskSia Solver | ChatGPT | Photo Solvers |
|---|---|---|---|
| Solution accuracy | ✓ 98% | ~70-85%, hallucinations | ~90%, math only |
| Auto-generated diagrams | ✓ Every solve | Inconsistent / broken | Graphs only, math-only |
| Step-by-step explanations | ✓ Numbered + plain English | Inconsistent depth | ✓ Math steps |
| Subject coverage | ✓ Math, Physics, Chem, Bio, CS, Econ | ✓ Wide but unverified | Math only |
| Photo input | ✓ Handwriting + diagrams + code | Photos OK, weak on handwriting | ✓ Math photos only |
| Answer verification | ✓ Self-checked before display | No verification | Math engine only |
| Tutor follow-ups | ✓ Hints, alt methods, ELI5 | ✓ General chat | Not available |
| Practice and flashcards | ✓ One-tap from any solve | Manual prompting | Not available |
| Code debugging | ✓ Python, Java, C++, SQL... | ✓ Yes | Not available |
| Free to start | ✓ Daily solves, no card | Limited model access | Steps locked behind paywall |
FAQ
Frequently asked questions.
What does each input to Black-Scholes mean?
S is the current stock price; K is the strike price (the price at which the option lets you buy or sell); T is time to expiry in years; r is the continuously-compounded risk-free rate (annualized); sigma is the annualized volatility of stock returns. The output is the theoretical option price in the same currency as S and K.
What are d1 and d2 in Black-Scholes?
d1 equals (ln(S over K) plus (r plus sigma squared over 2) times T) divided by (sigma times square root of T). d2 equals d1 minus sigma times square root of T. N(d1) is approximately the probability the option expires in the money (under a risk-neutral pricing measure). N(d2) is similar with a slight adjustment for the dividend or numeraire. AskSia computes both.
Does Black-Scholes work for American options?
Not directly. American options can be exercised early, which adds value over European. For non-dividend-paying calls, early exercise is never optimal, so Black-Scholes gives the correct American call price. For puts and dividend-paying calls, American options require numerical methods (binomial trees, finite difference, Monte Carlo). AskSia notes when Black-Scholes is an approximation.
How is implied volatility computed?
Given the market price of an option and all other inputs (S, K, T, r), invert the Black-Scholes formula to find the sigma that produces that market price. Since Black-Scholes is monotonic in sigma, the inverse exists and is unique. AskSia uses Newton's method or bisection to invert numerically, since no closed form exists.
How accurate is AskSia?
AskSia is engineered for accuracy on standard high school and college coursework. Accuracy comes from subject-specialized models, a symbolic verification pass that catches arithmetic errors, and a self-check step that re-derives the answer before showing it to you.
Can I get practice problems and flashcards?
Yes. After any solve, ask Sia to generate similar practice problems at SAT, ACT, AP, IB, or college difficulty, or build a flashcard set on the underlying concept in one tap. Useful for exam prep and spaced repetition before a quiz, midterm, or final.
How much does AskSia cost?
AskSia has a free plan that includes daily solves across all subjects. AskSia Pro and Super include unlimited solves, advanced subjects, the full AI tutor companion, exports, and priority response speed. See pricing for details.
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d1, d2, the price.
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