Let Bond par value be 1000
Bond P:
Coupon rate=10%
YTM=7%
time=9 years
Calculation of current price:
Particulars Year Amount PV Factor YTM=7% Present value
Ineterest 1-9 years 100 6.515232 651.52
Value 9 1000 0.543934 543.93
1195.45
Current price =1195.45
Current yield=Annual interest based on coupon rate*100/current price
The current yield of Bond P=100*100/1195.45=8.37%
Bond D:
Coupon rate=5%
YTM=7%
time=9 years
Calculation of current price:
Particulars Year Amount PV Factor YTM=7% Present value
Interest 1-9 years 50 6.515232 325.76
Value 9 1000 0.543934 543.93
869.69
Current price =869.69
Current yield=Annual interest based on coupon rate*100/current price
The current yield of Bond D=50*100/869.69=5.75%
Capital gains yield
current price bond P=1195.45
Next year's price bond P=100°5.971299+1000*0.582009=1179.14
The capital gain yield on bond P=(next year price-current price)/current price
=(1179.14-1195.45)/1195.45
=-1.36%
current price bond D=869.69
Next year's price bond D=505.971299+1000*0.582009=880.57
The capital gain yield on bond D=(next year price-current price)/current price
=(880.57-869.69)/869.69
=1.25%.
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