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maderaada
23.07.2020 •
Mathematics
A 30-year, $1,000 strip bond was traded for $167, four years after it was issued. What was the semi-annually compounded nominal rate at that time? Calculate percentages accurate to the nearest 0.01%.
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Ответ:
The semi-annually compounded nominal rate at that time is 7%
Step-by-step explanation:
In order to calculate the semi-annually compounded nominal rate at that time we would have use the following formula:
PV= FV/(1+r)^n
According to the given data we have the following:
PV=$167
FV=$1,000
n=30-year, and strip bond was traded four years after it was issued, hence, n=(30-4)*2 =52
Therefore, 167= $1,000/( 1+r)^52
167/$1,000 =1/(1+r)^52
0.167 =1/(1+r)^52
r =3.50%
Therefore, The semi-annually compounded nominal rate at that time=3.50%*2
The semi-annually compounded nominal rate at that time=7%
The semi-annually compounded nominal rate at that time is 7%
Ответ:
y = 5x + 2
Step-by-step explanation:
x=0 y=2 => b=2
x = 1 y = 7 b=2 => m =5