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Homework answers / question archive / What would be the value of a bond with a maturity of 8 years, 12% required rate of return

What would be the value of a bond with a maturity of 8 years, 12% required rate of return

Finance

What would be the value of a bond with a maturity of 8 years, 12% required rate of return. and interest paid semi-annually?

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Present value Interest Factor (PVIF) = 1/(1+r)n

Present value Annuity Factor (PVAF) = 1/(1+r) +1/(1+r)2 +1/(1+r)3 ...............+1/(1+r)n

Where, r is discounting factor which is required return in our case = 12%

n is number of periods.

Assumptions (As the question contains very limited information)

  1. Required rate of return 12% is compounded semi annually. As interest is also paid semi annually.
  2. Par Value of bond = 100 and bond would be redeemed also at par only.
  3. Semi annula Interest on be i, because no interest rate is prescribed.

Value of Bond = Present value of Cash Flows from Bond

Value of Bond = Present value of Semi Annual Interest + Present Value of Redemption amount

Value of Bond = Semi Annual Interest*PVIF((12/2)%,(8*2)) + Redemption amount*PVAF((12/2)%,(8*2))

Value of Bond = i*1.016 + 100*0.394

Value of Bond = 1.016i + 39.40