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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. and interest paid semi-annually?
Expert Solution
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)
- Required rate of return 12% is compounded semi annually. As interest is also paid semi annually.
- Par Value of bond = 100 and bond would be redeemed also at par only.
- 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
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