Answer:
$95.45
Explanation:
First, we need to calculate the price of the bond using both yields to maturity
Current Price
Use the following formula to calculate the price of the bond
P = ( C x PVAF ) + ( F x PVF )
Where
F =Face value = $1,000
C =Coupon Payment = $1,000 x 5% = $50
PVAF = ( 1 - ( 1 + 10% )^-1 ) / 10% = 0.90909091
PVF = 1 / ( 1 + 10% )^1 = 0.90909091
Placing values in the formula
P = ( $50 x 0.90909091 ) + ( $1,000 x 0.90909091 )
P = $954.55
After 1 Year
The Bond will be matured on this time
At the of Maturity the price of the bond will be equal to the face value
Price of the bond = $1,000
Now calculate the return on the bond
Return on the bond = Coupon Interest + Price appreciation
Where
Coupon Interest = $50
Price appreciation = $1,000 - $954.55 = $45.45
Placing values in the formula
Return on the bond = $50 + $45.45 = $95.45
