MBF-4E-11-01-Deferred_Annuities
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Seneca College *
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MBF101
Subject
Accounting
Date
Feb 20, 2024
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pptx
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7
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Slide: 1
DEFERRED ANNUITIES
11.1
Slide: 2
A deferred annuity
is an annuity in which the first periodic payment is made after a certain interval of time, known as the deferral period
. The deferral period is the time interval from ‘now’ to the beginning of the annuity period.
Deferred Annuities
Section 11.1
Ordinary Deferred Annuity: When the deferral period is the time interval from ‘now’ to the beginning of the annuity.
Deferred Annuity Due: When the deferral period ends at the beginning of the first periodic payment.
The Ordinary deferred Annuity or Deferred Annuity Due can be simple or general based on the payment and compounding period.
Slide: 3
A deferred annuity
is an annuity in which the first periodic payment is made after a certain interval of time, known as the deferral period
. The deferral period is the time interval from ‘now’ to the beginning of the annuity period.
Deferred Annuities
Section 11.1
A deferred annuity due can be turned into an ordinary deferred annuity.
PMT
PMT
PMT
Deferral Period
1
st
PMT
n
th
PMT
Annuity Period
PMT
PMT
PMT
Deferral Period
1
st
PMT
n
th
PMT
Annuity Period
Deferred Annuity Due
Ordinary Deferred Annuity
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Slide: 4
What amount should you invest now if you want to receive payments of $3000 at the end of each year for 10 years with the receipt of the first payment 3 years from now? Assume that the money earns 5% compounded annually.
a. $23,165.20
b. $21,011.52
c. $20,010.97
d. $24,839.39
Section 11.1
a.
b.
c.
d.
0
0
0
0
Slide: 5
What amount should you invest now if you want to receive payments of $500 at the beginning of each month for 15 years, with the receipt of the first payment 5 years from now? Assume that the money earns 4% compounded semi-annually.
Section 11.1
a. $67,975.95
b. $60,430.37
c. $55,759.97
d. $59,273.23
a.
b.
c.
d.
0
0
0
0
Slide: 6
The owner of a company borrowed $10,000 to purchase office equipment. The interest rate charged on the loan is 4% compounded semi-annually, and he is required to settle the loan by making equal payments, at the end of each month, for 5 years, with the first payment to be made 1 year and 1 month from now. Calculate the size of the monthly payments that are required to settle the loan.
a. $191.45
b. $138.01
c. $299.30
d. $215.76
Section 11.1
a.
b.
c.
d.
0
0
0
0
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Slide: 7
A textile company invested their annual net profits of $400,000 in a fixed deposit at 8% compounded quarterly. They want to withdraw $60,000 at the beginning of every year, with the first withdrawal made 3 years from now. Calculate the time period of the annuity. Round your answer up to the nearest payment period.
a.
14 years
b. 9 years
c.
12 years
d. 7 years
Section 11.1
a.
b.
c.
d.
0
0
0
0
Related Documents
Related Questions
6 [Question text] An ordinary annuity is best defined as __________________.
Select one:
A. increasing payments paid forever
B. equal payments paid at the beginning of regular intervals for a limited time period
C. equal payments paid at the end of regular intervals over a stated time period
D. increasing payments paid for a definitive period of time
arrow_forward
Question 1
Saved
An annuity with periodic payments made at the end of each payment period is
called:
A) ordinary
Oi general
Cannuity due
O simple
Onone of the above
arrow_forward
An annuity due is an annuity for which:
Question 10 options:
A)
the payments are made to repay a loan
B)
the payments are made at the beginning of each payment period
C)
the payments continue forever
D)
the payments are made at the end of each payment period
E)
the payment period is not the same as the conversion period
arrow_forward
Question 15
Annuities where the payments occur at the beginning of cach time period are called
ahereas
refer to annuity streams with payments occurring at the end ofexhine period
O ordinary for regular) annuities annuities due
O annuities due, ordinary lor regulari annutles
OLte anouties straight anuities
ordinany annuities carly annuities
straight annuities, late annuities
arrow_forward
A series of equal periodic payments in which the first payment is made one compounding period after the date of the contract is ________.
Group of answer choices
a deferred annuity
a compound annuity
an ordinary annuity
an annuity due
arrow_forward
The deferral period lasts from the original deposit date (lump sum) up until the start
of the term for the annuity.
True
6.
False
arrow_forward
A series of equal payments occurring at equal interval of time, known as. Ans: ____________
A type of annuity where the first payment is made at the end of the first period. Ans: ___________________
A type of annuity whose sum is infinite. Ans: _____________
A type of annuity where the first payment is made at the beginning of the first period. Ans: ______________
A type of annuity where the first payment is made later after the end of the first period. Ans: ___________________
arrow_forward
→
Question 1
A
usually involves some constant periodic payment which pays for both interest and
principle over some specified period of time.
Question 2
A
involves some constant periodic payment which pays for interest over some period of
time and a lump sum final payment at the end of the term .
arrow_forward
An [Select]
is a sequence of equal period payments. If payments are made at
the end of each time interval, the annuity is called an [Select]
arrow_forward
What is the primary difference between an ordinary annuity and an annuity due?
Group of answer choices
ordinary annuity only relates to future values
the timing of the periodic payment
annuity due only relates to future values
the interest rate
arrow_forward
An annuity with payments that occur at the beginning of each period is known as a
○ annuity due
ordinary annuity
deferred annuity
discounted annuity
immediate annuity
arrow_forward
With a deferred ordinary annuity,
the first payment was made one or more periods prior.
the first payment begins one or more periods later.
the last payment is made first.
the first payment is made last.
arrow_forward
The difference between an ordinary annuity
and a annuity due is:
A ordinary annuity is when payments are
made at the beginning of each period,
while for a annuity due the payments are
made at the end of each period.
An annuity due is an annuity where the
loan is repaid in one lump sum at the end
of the annuity, while for an ordinary
annuity regular payments are made
throughout the period of the annuity.
An annuity due is when interest is
compounded at the same time as
payments are made, while for a ordinary
annuity the interest and payment periods
are different.
A ordinary annuity is when payments are
made at the end of each period, while for
a annuity due the payments are made at
the beginning of each period.
An ordinary annuity is when interest is
compounded at the same time as
payments are made, while for a annuity
due the interest and payment periods are
different.
arrow_forward
Ef 07.
arrow_forward
Problem 5
Given the following spot rates and forward rates (in percents) for the effective years:
Rate/Year
Spot
Forward
4.
5
8.
9
4.
10
7.
7.
8
6.
3
2
4.
8.
8
4
Find the present value factor of an annuity immediate under both schemes.
(These figures may not match because the rates aren't designed to match.)
arrow_forward
Multiple Choice Question
Which of the following is the formula for the present value of a growing annuity? (C is the payment to occur at the end of the first period, r is the interest rate, g is the rate of growth per period expressed as a percentage, and t is the number of periods for the annuity.)
Multiple choice question.
PV = C(r−g)C(r−g) (1−((1−g)(1−r))t)1−(1-g)(1-r)t
PV = C(r−g)C(r−g) (1−((1+g)(1+r))t)1−(1+g)(1+r)t
PV = C(r−g)C(r−g) (1−((1−g)(1+r))t)1−(1-g)(1+r)t
PV = C(r−g)C(r−g) (1−((1+g)(1−r))t)
arrow_forward
In order to compute the present value of an annuity, it is necessary to know the
1.
discount rate.
2.
number of discount periods and the amount of the periodic payments or receipts.
○ 1
O something in addition to 1 and 2
O both 1 and 2
○ 2
arrow_forward
1. Which statement is FALSE?
A. Future value annuity is an example of annuity.
B. A perpetuity is an annuity that has maturity period.
C. An annuity is a series of equal payment made for a specified number of years.
D. Ordinary annuity is an annuity in which the cash flows occur at the end of each period.
arrow_forward
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Related Questions
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- What is the primary difference between an ordinary annuity and an annuity due? Group of answer choices ordinary annuity only relates to future values the timing of the periodic payment annuity due only relates to future values the interest ratearrow_forwardAn annuity with payments that occur at the beginning of each period is known as a ○ annuity due ordinary annuity deferred annuity discounted annuity immediate annuityarrow_forwardWith a deferred ordinary annuity, the first payment was made one or more periods prior. the first payment begins one or more periods later. the last payment is made first. the first payment is made last.arrow_forward
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