Question

XYZ Corp. issued a 15-year 6% coupon rate bond 5 years ago. Interest rates are now...

XYZ Corp. issued a 15-year 6% coupon rate bond 5 years ago. Interest rates are now 4%. What is the current price of the bond?

A. 1163.51

]B. 1000.00

C. 1223.96

D. 1162.22

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Answer #1

Coupon rate = 6%

Face value = $ 1000 (assuming to be)

Coupon payment = $1000*6% = $ 60

No of years to maturity(n) = 10 ( 15 years bond - 5 year already gone)

yield to maturity = 4%

calculating the price of bond:

Price =- +.... + Coupon Payment (1 + YTM Coupon Payment Coupon Payment (1 + YTM) 2 (1+YTM) FaceValue (1 + YTM

60 60 60 1000 Price = (1 +0.04)1 + (1 +0.04)2 + .... + (1 +0.04)10 + (1 +0.0414

price = $ 486.65 + $ 675.56

price = $ 1162.21

Hence, Option D

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