Tuesday, July 6, 2021

It is January 1st and Darwin Davis has just established an IRA (Individual Retirement Account). Darwin

It is January 1st and Darwin Davis has just established an IRA (Individual Retirement Account). Darwin will put $1,000 into the account on December 31st of this year and at the end of each year for the following 39 years (40 years total). How much money will Darwin have in his account at the beginning of the 41st year? Assume that the account pays 12% interest compounded annually, and round to the nearest $1,000.
A) $93,000
B) $766,000
C) $767,000
D) $850,000

 What is the present value of $27 received at the end of each year for five years? Assume a discount rate of 9%. The first payment will be received one year from today (round to the nearest $1).

A) $42
B) $114
C) $88
D) $105

What is the present value of $300 received at the beginning of each year for five years? Assume that the first payment is not received until the beginning of the third year (thus the last payment is received at the beginning of the seventh year). Use a 10% discount rate, and round your answer to the nearest $100.
A) $1,100
B) $1,000
C) $900
D) $1,200

Ingrid Birdman can earn a nominal annual rate of return of 12%, compounded semiannually. If Ingrid made 40 consecutive semiannual deposits of $500 each, with the first deposit being made today, how much will she accumulate at the end of Year 20? Round off to the nearest $1.
A) $52,821
B) $57,901
C) $82,024
D) $64,132


Charlie Stone wants to retire in 30 years, and he wants to have an annuity of $1,000 a year for 20 years after retirement. Charlie wants to receive the first annuity payment at the end of the 30th year. Using an interest rate of 10%, how much must Charlie invest today in order to have his retirement annuity (round to the nearest $10)?
A) $500
B) $490
C) $540
D) $570

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