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Find the current price of a bond with 4% coupon rate and face value of $1000 in the chart below What relationship does the bonds current value have with the remaining maturity and yield to maturity?. Remaining Maturity. 2- 2- 3. 5. Yield to maturity 2%- 4% 4%- 2%- 6% Y Current Price 5


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Answer #1
Remaining maturity YTM Current price ($)
2 2% 1038.83
2 4% 1000.00
3 4% 1000.00
5 2% 1094.27
5 6% 915.75

coupon payment = 4% x 1000 = $ 40

Current price = 40/(1 + YTM) + .... + (40 + 1000)/(1 + YTM)n

n = remaining maturity

(or Use excel function PV(YTM,n,-40,-1000))

Current value decreases with increase in YTM and it increases with increase in remaining maturity.

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