匿名使用者
匿名使用者 發問時間: 社會與文化語言 · 7 年前

請幫我解債券的題目

What is the price of a $1,000 par value bond with a 6% coupon rate paid semiannually, if the bond is priced to yield 5% and it has 9 years to maturity?

What would be the price of the bond if the yield rose to 7%.

What is the current yield on the bond if the YTM is 7%?

謝謝

4 個解答

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  • 最佳解答

    令C為債券面額、g為支付期之息票利率、i為支付期之到期殖利率、n為支付次數。

    債券價格p=C*[1+(g-i)*($1、n支付次數、i之普通年金現值)]

    1.What is the price of a $1,000 par value bond with a 6% coupon rate paid semiannually, if the bond is priced to yield 5% and it has 9 years to maturity?

    Ans:

    C=1,000,g=0.06/2=0.03,i=0.05/2=0.025,n=9*2=18,

    ($1、n支付次數、i之普通年金現值)=(1-(1+i)^-n)/i=(1-1.025^-18)/0.025=14.35336363

    =>p=1,000*[1+(0.03-0.025)*14.35336363]=1,071.766818。

    2.What would be the price of the bond if the yield rose to 7%

    Ans:

    C=1,000,g=0.06/2=0.03,i=0.07/2=0.035,n=9*2=18,

    ($1、n支付次數、i之普通年金現值)=(1-(1+i)^-n)/i=(1-1.035^-18)/0.035=13.18968173

    =>p=1,000*[1+(0.03-0.035)*13.18968173]=934.0515914。

    3.What is the current yield on the bond if the YTM is 7%?

    current yield =票息/=債券價格=(1000*0.06)/934.0515914=6.4236%(年)

    2013-11-09 20:00:12 補充:

    ^--------------^

  • 匿名使用者
    7 年前

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  • 7 年前

    TOMING88, you need to use annuity formula to calculate.

    2013-11-09 19:35:06 補充:

    Oh, 剛想答時被ocean知識貧民 答了~

    ^__^

  • 7 年前

    The price of a $1,000 par value bond yields interest,whether at 6 or 7 % are:-

    1000x0.06x2x0.05x9

    =($) 54.

    Or

    100x0.06x2x0.07x9

    =($)75.60.

    2013-11-09 19:37:14 補充:

    Sorry, annuity formula yields.

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