該債券每年的息票為100*12%=12元。目前,還有六年到期(已經過去了四年)。
在7%的利率環境下,價格=12/(1+7%)+12/(1+7%)^2+12/(1+7%)^3+12/(1+7%)^4+12/(1+7%)^5+12/(1+7%)^6+100/(1+7%)^6=123.83元
若利率變為5%,則價格=12/(1+5%)+12/(1+5%)^2+12/(1+5%)^3+12/(1+5%)^4+12/(1+5%)^5+12/(1+5%)^6+100/(1+5%)^6=135.53元
若每年付息兩次,每次息票為6元,市場利率為7%時,半年利率是3.5%,價格=6/(1+3.5%)+6/(1+3.5%)^2+6/(1+3.5%)^3+6/(1+3.5%)^4+6/(1+3.5%)^5+6/(1+3.5%)^6+6/(1+3.5%)^7+6/(1+3.5%)^8+6/(1+3.5%)^9+6/(1+3.5%)^10+6/(1+3.5%)^11+6/(1+3.5%)^12+100/(1+3.5%)^12=124.16元
市場利率為5%時,半年利率是2.5%,價格=6/(1+2.5%)+6/(1+2.5%)^2+6/(1+2.5%)^3+6/(1+2.5%)^4+6/(1+2.5%)^5+6/(1+2.5%)^6+6/(1+2.5%)^7+6/(1+2.5%)^8+6/(1+2.5%)^9+6/(1+2.5%)^10+6/(1+2.5%)^11+6/(1+2.5%)^12+100/(1+2.5%)^12=135.90元
以140元買入時,為計算到期收益率,在excel中輸入
=RATE(6,12,-140,100)
計算得,年到期收益率為4.3%
該債券每年的息票為100*12%=12元。目前,還有六年到期(已經過去了四年)。
在7%的利率環境下,價格=12/(1+7%)+12/(1+7%)^2+12/(1+7%)^3+12/(1+7%)^4+12/(1+7%)^5+12/(1+7%)^6+100/(1+7%)^6=123.83元
若利率變為5%,則價格=12/(1+5%)+12/(1+5%)^2+12/(1+5%)^3+12/(1+5%)^4+12/(1+5%)^5+12/(1+5%)^6+100/(1+5%)^6=135.53元
若每年付息兩次,每次息票為6元,市場利率為7%時,半年利率是3.5%,價格=6/(1+3.5%)+6/(1+3.5%)^2+6/(1+3.5%)^3+6/(1+3.5%)^4+6/(1+3.5%)^5+6/(1+3.5%)^6+6/(1+3.5%)^7+6/(1+3.5%)^8+6/(1+3.5%)^9+6/(1+3.5%)^10+6/(1+3.5%)^11+6/(1+3.5%)^12+100/(1+3.5%)^12=124.16元
市場利率為5%時,半年利率是2.5%,價格=6/(1+2.5%)+6/(1+2.5%)^2+6/(1+2.5%)^3+6/(1+2.5%)^4+6/(1+2.5%)^5+6/(1+2.5%)^6+6/(1+2.5%)^7+6/(1+2.5%)^8+6/(1+2.5%)^9+6/(1+2.5%)^10+6/(1+2.5%)^11+6/(1+2.5%)^12+100/(1+2.5%)^12=135.90元
以140元買入時,為計算到期收益率,在excel中輸入
=RATE(6,12,-140,100)
計算得,年到期收益率為4.3%