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For Students · Fixed-Income Suite

Fixed-Income Suite for an insurance premium

Built for students learning it for a class or exam. See the concept move instead of memorizing formulas — and check your homework intuition. Simulate an insurance premium live below — adjust the inputs and watch it respond, right in your browser.

Bond Pricing

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Bond Pricing & DurationLive

price · yield · interest-rate risk

Controls

Presets

Face value ($)

Coupon rate

Yield to maturity

Years to maturity

A bond's price is the present value of its coupons and face value, discounted at the yield. Price moves inversely to yield along a convex curve. Duration measures that sensitivity — a modified duration of 8 means roughly an 8% price drop per 1% rise in yield. Educational tool, not investment advice.

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Data Inspector

Price$1081.76

Premium/discountpremium

Macaulay duration8.08 yr

Modified duration7.92

Governing equation

P = t = 1 \sum 20 \frac{25.00}{( 1 + 0.0200 ) ^{t}} + \frac{1000}{( 1 + 0.0200 ) ^{20}} = $1081.76

Reading this result: The coupon beats the 4.0% yield, so the bond sells at a premium — about 8.2% over par — and its 7.9 modified duration is the % price drop per +1% yield.

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Value At Risk

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Value at Risk (VaR)Live

parametric VaR & expected shortfall

Controls

Presets

Portfolio value ($)

Annual volatility

Annual return

Horizon (days)

Value at Risk estimates the loss a portfolio will not exceed over a horizon at a confidence level. Parametric VaR assumes normally distributed returns and scales volatility by √time. Expected shortfall (CVaR) is the average loss in the tail beyond VaR. Educational tool, not investment advice.

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Data Inspector

VaR (95%)$20,446

Expected shortfall$25,708

Horizon vol1.26%

Governing equation

VaR_{95%} = z σ - μ = 1.64 \times 0.0126 - 0.0003 = 0.0204

Reading this result: At 95% confidence the loss should not exceed 2.0% of the portfolio over 1 day; the average loss in the worse tail beyond that (expected shortfall) is steeper still.

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Frequently asked questions

Is this good for students?: Yes — this version of "Fixed-Income Suite for an insurance premium" is framed for students learning it for a class or exam. See the concept move instead of memorizing formulas — and check your homework intuition.
Do I need to install anything?: No. It runs in any modern browser, free, with no account required.