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Answer:
$1100
Explanation:
Compound Interest is a multiplying effect interest , in which interest for each successive period is calculated on (Principal + Interest) of each preceeding period .
Formula : A = P(1+r/n) power 'nt .
r = Interest rate , t = time , n = compound in time 't' , P = Principal
A = 1000 (1+10/1) power'(1X1) = 1000 X 11 power 1' = 1000 X 11 = 1100
Answer:
a.
3.51%
b.
0%
Explanation:
a.
First, we need to calculate the YTM of 6 months zero-coupon bond by using the following formula
Price = Face value / ( 1 + YTM )^numbers of years
96.79 = 100 / ( 1 + YTM )^1
1 + YTM = 100 / 96.79
1 + YTM = 1.0331646
Now calculate the YTM of 1 Year zero-coupon bond
93.51 = 100 / ( 1 + YTM )^1
YTM = 1.0331646 - 1
YTM = 0.0331646
YTM = 3.31646%
YTM = 3.316%
1 + YTM = 100 / 93.51
1 + YTM = 1.06940
YTM = 1.06940 - 1
YTM = 0.06940
YTM = 6.940%
YTM = 6.94%
Hence the forward rate is calculated as follow
Forward rate = [ (1 + YTM of 1 year zero coupon bond ) / ( 1 + YTM of 6 months year zero coupon bond ) ] - 1 = ( 1 + 6.94% ) / ( 1 + 3.316% ) = [ 1.0694 / 1.03316 ] - 1 = 1.03508 - 1 = 0.03508 = 3.508% = 3.51%
b.
At the time of inception the formward rate is 0.
