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Jinsi ya kukokotoa Bond Duration

Bond Duration ni nini?

Duration measures weighted average time to receive bond cash flows, approximating interest rate sensitivity: price change ≈ -duration × Δyield.

Mwongozo wa Hatua kwa Hatua

  1. 1Input bond coupon, yield, maturity
  2. 2Calculate Macaulay duration (time-weighted)
  3. 3Derive modified duration (price sensitivity)

Mifano Iliyotatuliwa

Ingizo
5% coupon, 10-year bond, 5% yield
Matokeo
Macaulay ≈ 8.2 years, modified ≈ 7.8 years
Modified used for price changes

Makosa ya Kawaida ya Kuepuka

  • Confusing Macaulay and modified duration
  • Forgetting duration changes with yield

Maswali yanayoulizwa mara kwa mara

Why duration < maturity?

Earlier cash flows (coupons) weighted in average.

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