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10-Year Government Bond Yield & Commercial Lease Calculator

Calculate Commonwealth bond prices, Yield to Maturity (YTM), and 10-year commercial lease commitments.

Last reviewed by the myCalculator Editorial Team

This calculator uses Australian rules and Australian data sources. Results may not apply outside Australia.

Input Parameters

Calculation Results

Theoretical Bond Market Price
$9,802.18
Pricing Status
Trading at a DISCOUNT (-1.98%)
Annual Coupon Cash Flow
$425/yr (4.25%)
Market Yield to Maturity (YTM)
4.5% p.a.
Maturity Face Value (Principal)
$10,000
Summary: A 10-Year Government Bond with a 4.25% coupon at a 4.5% market yield is priced at $9,802.18 (Trading at a DISCOUNT (-1.98%)). When market yields rise above the coupon, bond prices fall.
Step-by-Step Calculation Solution
1.Annual Coupon = Face Value × Coupon% = $10000 × 4.25% = $425.00000000000006/yr
2.Present Value of Coupons = $3362.91
3.Present Value of Principal at Year 10 = $6439.28
4.Total Bond Price P = $9802.18

Formula & How 10-Year Government Bond Yield & Commercial Lease Calculator Works

Mathematical Formula
Bond Price P = Σ(Coupon / (1+y)ᵗ) + Face / (1+y)ⁿ | Lease Total = Σ Base × (1+g)ᵗ

Bond prices move opposite to yields. The price of a bond is the present value of its coupons plus the face value: P = Σ coupon ÷ (1 + y)^t + face ÷ (1 + y)^n. A $10,000 bond paying a 5% coupon ($500 a year) for 10 years, when the market yield is 4.5%, is worth about $10,396, a premium because its coupon is above the market. If the market yield rises to 6%, the same bond falls below its face value. For leases, the total payable compounds the starting rent by the escalation rate each year, so a 3.5% escalator makes the tenth-year rent about 36% higher than year one.

How to Calculate 10-Year Government Bond Yield & Commercial Lease Calculator (Step-by-Step)
  1. Enter Calculation Type: Input your target parameter value.
  2. Enter Bond Face Value / Principal ($): Input your target parameter value.
  3. Enter Annual Coupon Rate (%): Input your target parameter value.
  4. Enter Current Market Yield (YTM %): Input your target parameter value.
  5. Enter Maturity Horizon / Lease Term (Years): Input your target parameter value.
  6. Enter Starting Annual Commercial Rent ($/yr): Input your target parameter value.
  7. Enter Annual Lease Escalation Rate (%): Input your target parameter value.
  8. Apply Formula: Calculate using Bond Price P = Σ(Coupon / (1+y)ᵗ) + Face / (1+y)ⁿ | Lease Total = Σ Base × (1+g)ᵗ.
  9. Review Results: View exact computed answers, metrics, and worked mathematical proofs.
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Frequently Asked Questions (FAQs)

Why do bond prices fall when interest rates rise?

Because existing bonds pay a fixed coupon rate. If newly issued bonds offer higher interest rates, older bonds must discount their market price to deliver an equivalent yield to maturity.

What is standard annual escalation on commercial leases?

Australian commercial leases typically feature annual rent increases tied to either CPI (Consumer Price Index) or a fixed 3.0% to 4.0% compounding increase.

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Calculations and mathematical logic on this page are grounded in published statutory rules, regulatory standards, and official government data published by the following bodies:

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