Answer:
€928.46
Explanation:
Since it was hinted that bonds issued outside of the United States pay coupons annually, it is expected that the bonds issued in Germany pay annual coupons, and its price is computed below using the bond price formula, excel PV function, and financial calculator:
Bond price=face value/(1+r)^n+annual coupon*(1-(1+r)^-n/r
face value=€1,000
r=yield to maturity=8.7%
n=number of annual coupons in 10 years=10
annual coupon=face value*coupon rate=€1,000*7.6%=€76
bond price=1000/(1+8.7%)^10+76*(1-(1+8.7%)^-10/8.7%
bond price=1000/(1.087)^10+76*(1-(1.087)^-10/0.087
bond price=1000/2.30300797+76*(1-0.43421474)/0.087
bond price=1000/2.30300797+76*0.56578526/0.087
bond price= 434.21+494.25= €928.46
Excel PV function:
=-pv(rate,nper,pmt,fv)
=-pv(8.7%,10,76,1000)
pv=€928.46
Financial calculator:
N=10
PMT=76
I/Y=8.7
FV=1000
CPT PV=€928.46
