g On June 30, the value of the account is 157.50. On December 31, the value of the account is X. Using the time weighted method,
the equivalent annual effective yield during the first 6 months is equal to the (time-weighted) annual effective yield during the entire 1-year period. Calculate X
1 answer:
Answer:
236.23
Explanation:
The computation of X is shown below:-
As per the time-weighted method
The 6-month yield
= (40 ÷ 50) × (80 ÷ 60) × (157.50 ÷ 160) - 1
= 5%
Annual equivalent = (1.05)^2 - 1
= 10.25%
1 - year yield = (40 ÷ 50) × (80 ÷ 60) × (175 ÷ 160) × (X ÷ 250) - 1
= 0.1025
X(0.004667) = 1.1025
X = 236.23
Therefore on December 31st the value of account of X = 236.25
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Answer:
Compound interest will lead to a larger sum of money than a comparable simple interest payment.
Explanation:
The true statement is that compound interest will lead to a larger sum of money than a comparable simple interest payment because the interest are compounded for a certain number of times such as daily, weekly, quarterly or annually while simple interest isn't compounded at all.
To find the future value, we use the compound interest formula;
Where;
A is the future value.
P is the principal or starting amount.
r is annual interest rate.
n is the number of times the interest is compounded in a year.
t is the number of years for the compound interest.
Mathematically, simple interest is calculated using this formula;
Where;
S.I is simple interest.
P is the principal.
R is the interest rate.
T is the time.