Interactive Calculators

Hands-On Learning Tools | Practice with Real Math

🧮 Available Calculators

All calculators use real-time computation to help you understand structured products pricing and risk management.

Options Pricing

Black-Scholes Calculator

Price European options instantly

Inputs:

• Spot Price (S)
• Strike Price (K)
• Time to Expiration (days)
• Volatility (%)
• Risk-free Rate (%)

Outputs:

• Call Price
• Put Price
• All Greeks (Delta, Gamma, Theta, Vega, Rho)
• Probability of ITM
• Break-even points

Try It: Black-Scholes Calculator →

Implied Volatility Calculator

Extract IV from market prices

How It Works: Input the market price of an option, and the calculator reverse-engineers the Black-Scholes formula to solve for implied volatility.

Use Cases:

• Compare IV to historical volatility
• Identify rich/cheap options
• Find volatility smile patterns

Options Strategy Builder

Visualize complex multi-leg strategies

Supported Strategies:

• Covered Call
• Protective Put
• Straddle / Strangle
• Iron Condor
• Bull/Bear Spreads
• Butterfly
• Custom combinations

Features:

• Interactive payoff diagrams
• Profit/loss at expiration
• Break-even analysis
• Greeks aggregation
• Max profit/loss calculations

Greeks Calculators

Delta Calculator

Calculate directional exposure

Portfolio Delta = Σ (Position Size × Delta per Contract)

Example:
Long 10 calls (Δ=0.40) + Long 5 puts (Δ=-0.30)
= (10 × 0.40) + (5 × -0.30)
= 4 + (-1.5) = +2.5

Interpretation: Acts like owning 2.5 Bitcoin

Portfolio Greeks Aggregator

Sum all position Greeks

Input:

• Multiple positions (calls, puts, underlying)
• Quantities
• Individual Greeks

Output:

• Net Delta
• Net Gamma
• Net Theta
• Net Vega
• Net Rho

Dashboard View: See total portfolio exposure at a glance.

Greeks Sensitivity Analyzer

See how Greeks change with market moves

Variables to Adjust:

• Spot price (±20%)
• Time to expiration (1-365 days)
• Volatility (20%-150%)

Visualizations:

• Greek charts by strike
• Greek evolution over time
• Heat maps showing sensitivity

Structured Products

Principal Protected Note Builder

Design custom PPNs

Inputs:

• Investment amount
• Term (years)
• Interest rate
• Underlying asset
• Desired participation rate

Calculations:

• Zero-coupon bond cost
• Option budget
• Maximum participation rate
• Scenario outcomes

Output: Complete PPN structure with all components priced.

Covered Call Return Calculator

Optimize strike selection

Inputs:

• Current asset price
• Purchase price
• Strike price
• Premium received
• Days to expiration

Outputs:

• Maximum return (%)
• Maximum return ($)
• Break-even price
• Downside protection
• Probability of assignment

Feature: Compare multiple strikes side-by-side.

Range Accrual Analyzer

Estimate probability and returns

Inputs:

• Asset price
• Range (lower/upper barriers)
• Daily accrual rate
• Historical volatility
• Number of days

Calculations:

• Probability of staying in range
• Expected days in range
• Expected yield
• Best/worst/expected cases

Visualization: Historical price chart with barriers overlaid.

Volatility Tools

Historical Volatility Calculator

Compute realized volatility

Method:

1. Input daily prices (or auto-fetch)
2. Calculate log returns
3. Compute standard deviation
4. Annualize

Time Periods:

• 7-day HV
• 30-day HV
• 90-day HV
• 1-year HV

Chart: Show volatility evolution over time.

IV Rank Calculator

Contextualize current implied volatility

Formula:

IV Rank = (Current IV - Min IV) / (Max IV - Min IV) × 100

Example:
Current IV: 75%
1-year range: 40% - 120%

IV Rank = (75 - 40) / (120 - 40) = 43.75

Interpretation: Current IV is at 44th percentile (slightly below average)

Use: Determine if options are expensive or cheap historically.

Volatility Smile Plotter

Visualize IV by strike

Data Source: Live market data or manual input

Output: Chart showing volatility smile/skew across strikes.

Analysis:

• Identify put skew (equity-like)
• Identify smile (crypto-like)
• Compare to theoretical flat line

Risk Management

Position Sizing Calculator

Determine optimal position size

Inputs:

• Account size
• Risk per trade (%)
• Distance to stop loss
• Win rate
• Risk/reward ratio

Output:

• Position size (contracts or $)
• Maximum loss amount
• Kelly Criterion suggestion
• Risk of ruin estimate

Guard Rails: Warns if oversized.

Delta Hedging Calculator

Calculate hedge ratio

Inputs:

• Position delta
• Target delta (usually 0)
• Underlying price
• Hedge instrument (spot, futures, options)

Output:

• Amount of hedge needed
• Cost to hedge
• Resulting net delta
• Rehedging thresholds

Break-Even Analyzer

Calculate all break-even points

Works For:

• Single options
• Multi-leg strategies
• Structured products

Output:

• Upper break-even
• Lower break-even (if applicable)
• Probability of profit
• Distance from current price

Time Value & Interest

Present Value / Future Value Calculator

Time value of money calculations

PV Calculator:

Given: FV, r, T
Calculate: PV = FV / (1+r)^T

FV Calculator:

Given: PV, r, T
Calculate: FV = PV × (1+r)^T

Continuous Compounding: Toggle for e^(rT) formula.

Compound Interest Calculator

See growth over time

Features:

• Different compounding frequencies
• Regular contributions
• Tax adjustments
• Inflation adjustments

Visualization: Growth curve over time.

Probability & Statistics

Normal Distribution Calculator

Calculate N(d) values

Input: z-score Output:

• Cumulative probability N(z)
• Probability density n(z)

Use: Black-Scholes calculations, probability estimates.

Monte Carlo Simulator

Run custom simulations

Inputs:

• Starting price
• Drift (μ)
• Volatility (σ)
• Time horizon
• Number of paths

Outputs:

• Simulated paths (visualized)
• Distribution of outcomes
• Confidence intervals
• Expected value

Interactive: Adjust parameters and see results update.

Using the Calculators Effectively

Best Practices

1. Verify Assumptions

• Check that inputs match your scenario
• Understand model limitations
• Cross-check with market prices

2. Sensitivity Analysis

• Adjust each input ±10%
• See how results change
• Understand key drivers

3. Compare Strategies

• Run multiple scenarios
• Compare risk/reward
• Choose best fit for goals

4. Save Your Work

• Bookmark URLs (state saved in params)
• Screenshot results
• Track over time

Educational Value

These calculators help you:

• ✅ Internalize formulas through use
• ✅ See Greeks change in real-time
• ✅ Build intuition for pricing
• ✅ Test strategies risk-free
• ✅ Learn from scenarios

Pro Tip: Use calculators WHILE studying modules. Practice immediately after learning concepts.

Coming Soon

Advanced Calculators (In Development):

• Multi-asset correlation analyzer
• Autocallable structure builder
• Barrier option pricer
• Volatility surface viewer (3D)
• Custom payoff designer
• Portfolio optimization tool

Feedback & Requests

Missing a calculator you need?

Request Features:

• Email: tools@forgestructuredproducts.com
• Include: What you need, why it’s useful
• We prioritize based on demand

Start Calculating: Go to Structure Tool →

Learn More:

• Black-Scholes Module - Pricing theory
• The Greeks Module - Risk metrics
• Formula Reference - All formulas