Mavuno ya dhamana ni kipimo muhimu cha mapato ya uwekezaji ambayo husaidia wawekezaji kutathmini na kulinganisha uwekezaji wa dhamana. Kuna aina tofauti za mavuno—mavuno ya kuponi, mavuno ya sasa, na mavuno hadi kukomaa—kila moja likitoa taarifa tofauti kuhusu uwezekano wa kurejesha dhamana. Kuelewa hesabu hizi huwezesha maamuzi sahihi ya uwekezaji wa mapato yasiyobadilika.

Mazao ya Bond ni Nini?

Mavuno ya dhamana huwakilisha mapato ya kila mwaka ambayo mwekezaji hupokea kutoka kwa uwekezaji wa dhamana, ambayo huonyeshwa kama asilimia. Hushughulikia malipo ya kuponi, bei ya bondi na muda wa kukomaa.

Yield = Annual Income ÷ Bond Price (or Par Value)

Mazao ya Kuponi (Mazao ya Jina)

Mapato ya kuponi ni kiwango cha riba cha kila mwaka kilichobainishwa kwenye bondi, kinachokokotolewa kama asilimia ya thamani sawia ya dhamana (thamani ya usoni).

Coupon Yield = Annual Coupon Payment ÷ Par Value × 100%

Mfano:

Par value (face value): $1,000
Coupon rate: 5% (stated when bond is issued)
Annual coupon payment: $1,000 × 5% = $50

Coupon yield = $50 ÷ $1,000 × 100% = 5%

Mavuno ya Sasa

Mavuno ya sasa hupima mapato ya kila mwaka kulingana na bei ya soko ya sasa ya bondi, wala si thamani sawia. Hii inabadilika kadiri bei za dhamana zinavyobadilika.

Current Yield = Annual Coupon Payment ÷ Current Bond Price × 100%

Mfano wa 1: Uuzaji wa Dhamana kwa Punguzo

Par value: $1,000
Annual coupon: $50
Current price: $900

Current Yield = $50 ÷ $900 × 100% = 5.56%
(Higher than coupon yield because you bought at a discount)

Mfano wa 2: Uuzaji wa Dhamana kwa Premium

Par value: $1,000
Annual coupon: $50
Current price: $1,100

Current Yield = $50 ÷ $1,100 × 100% = 4.55%
(Lower than coupon yield because you paid a premium)

Mazao hadi Ukomavu (YTM)

Mavuno hadi ukomavu ndio kipimo kamili zaidi cha mavuno. Hukokotoa jumla ya marejesho ya kila mwaka ikiwa utashikilia dhamana hadi itakapokomaa, ikihesabu malipo yote ya kuponi na faida au hasara yoyote kutoka kwa bei ya sasa hadi thamani iliyolinganishwa.

Approximate YTM = (Annual Coupon + (Par - Current Price) ÷ Years to Maturity) ÷ ((Par + Current Price) ÷ 2) × 100%

Mfano:

Par value: $1,000
Current price: $950
Annual coupon: $50
Years to maturity: 5

Numerator: $50 + ($1,000 - $950) ÷ 5 = $50 + $10 = $60
Denominator: ($1,000 + $950) ÷ 2 = $975

YTM ≈ $60 ÷ $975 × 100% = 6.15%

Jedwali la Kulinganisha la Mazao ya Dhamana

Kipimo cha dhamana Hesabu Tumia
Mazao ya Kuponi Malipo ya Mwaka ÷ Par Fasta, kuweka katika suala
Mavuno ya Sasa Malipo ya Mwaka ÷ Bei Ulinganisho wa msingi wa soko
YTM Jumla ya fomula ya kurejesha Kina zaidi
Kuenea kwa Mavuno Dhamana ya YTM - Kiwango kisicho na hatari Malipo ya hatari

Vielelezo vya Dhamana Vitendo

Mfano wa 1: Dhamana ya Hazina

Par value: $1,000
Coupon rate: 3% ($30 annual payment)
Current market price: $1,020
Years to maturity: 10

Coupon Yield: $30 ÷ $1,000 = 3%
Current Yield: $30 ÷ $1,020 = 2.94%
YTM: Approximately 2.85% (would need financial calculator for exact)

Mfano wa 2: Dhamana ya Biashara

Par value: $1,000
Coupon rate: 6% ($60 annual payment)
Current price: $900
Years to maturity: 7

Coupon Yield: $60 ÷ $1,000 = 6%
Current Yield: $60 ÷ $900 = 6.67%
Approximate YTM: ($60 + $100÷7) ÷ $950 = 7.26%

Uhusiano Muhimu wa Bei ya Dhamana

Kuna uhusiano kinyume kati ya bei ya dhamana na mavuno:

Bei ya dhamana Mavuno ya Sasa YTM
Sehemu (100%) Sawa na kuponi Sawa na kuponi
Inalipiwa (>100%) Chini ya kuponi Chini ya kuponi
Punguzo (<100%) Kuponi ya juu Kuponi ya juu

Muda na Mabadiliko ya Mazao

Bei za dhamana huenda kinyume na viwango vya riba. Unyeti wa vipimo vya muda:

Duration = Average time to receive cash flows (weighted by present value)
Price change ≈ -Duration × Change in Yield

Mfano:

5-year duration bond
Yields increase 1%
Approximate price decline: -5 × 1% = -5%

Curve ya Mavuno na Maarifa ya Soko

Mkondo wa mavuno unaonyesha mavuno kwa vifungo vya ukomavu tofauti:

  • Mteremko wa juu: Vifungo vya kawaida na vya muda mrefu huzaa zaidi
  • Frofa: Vifungo vifupi na virefu vina mavuno sawa
  • Iliyogeuzwa: Dhamana ndefu hutoa mavuno kidogo (kiashiria cha kushuka kwa uchumi)

Kulinganisha Uwekezaji wa Dhamana

Aina ya dhamana Aina ya Mavuno ya Kawaida
Hazina ya Marekani (miaka 10) 3-5%
Uwekezaji wa daraja la ushirika 4-6%
Mavuno ya Juu (Taka) 6-10%
Dhamana za Manispaa 2-4% (mara nyingi bila kodi)
Kimataifa Hutofautiana kwa nchi

Mazao ya Baada ya Kodi

Dhamana za manispaa mara nyingi hunufaika na ushuru:

Tax-Equivalent Yield = Tax-Free Yield ÷ (1 - Tax Rate)

Mfano:

Municipal bond yield: 3%
Tax rate: 25%
Tax-equivalent: 3% ÷ (1 - 0.25) = 4%
(Equivalent to a 4% taxable bond for this investor)

Mikakati ya Mazao ya Dhamana

  • Ngazi: Nunua bondi zenye ukomavu tofauti
  • Barbell: Nunua muda mfupi na mrefu, epuka katikati
  • Bullet: Zingatia ukomavu maalum
  • Muda unaolingana: Pangilia muda wa dhamana na upeo wa muda

Kuelewa mavuno ya dhamana hukusaidia kulinganisha uwekezaji katika aina mbalimbali za dhamana na kufanya maamuzi ya mgao yanayolingana na ustahimilivu wako wa hatari na malengo ya kifedha.

Tumia Kikokotoo chetu cha Mazao ya Dhamana ili kukokotoa papo hapo kuponi, sasa, na mavuno hadi ukomavu kwa bondi zako.