Find the EAR in each of the following cases (Use 365 days a year. Do not round intermediate calculations and enter your answers
1 answer:
Answer and Explanation:
The computation of the effective annual rate in each of the following cases are
1.
Effective annual rate = [(1+annual percentage rate ÷ period)^period]- 1
= (1 +0 .09 ÷ 4)^4 - 1
= 9.31%
2.
Effective annual rate = [(1+annual percentage rate ÷ period)^period]- 1
= (1 + 0.16 ÷ 12)^12-1
= 17.23%
3.
Effective annual rate = [(1+annual percentage rate ÷ period)^period]- 1
= (1 + 0.12 ÷ 365)^365-1
= 12.75%
4 .
Effective annual rate = [(e)^Annual percentage rate]-1
e=2.71828
So,
=[(2.71828)^0.11]-1
= 11.63%
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The formula for future value of annuity that exists future value of annuity = P × .
Save each year to reach their goal exists $2152.48
Save each year to reach their new goal exists $2869.97
<h3>What is meant by future value of annuity?</h3>The worth of a series of recurrent payments at a specific future date, assuming a specific rate of return, or discount rate, is the future value of an annuity. The future value of the annuity increases with the discount rate.
Given: amount saved = 120,000
Rate of Interest earned = 12.0 %
time = 18th birthday
Where, annual savings = P
The formula for future value of annuity that exists future value of annuity = P × ................(1)
where r exists rate and n exists a time period
put her value
$ 120,000 = P ×
= $ 2152.48
Save each year to reach their goal exists $ 2152.48 and for $ 160,000 on 18 th Birthday
we consider here annual savings = P
From (1),
Future value of annuity = P ×
$ 160,000 = P ×
P = $2869.97
Therefore, Save each year to reach their goal exists $2152.48
save each year to reach their new goal is $2869.97
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