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BFT 107 Time Value of Money Chapter 5 Exercises

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EXERCISE CHAPTER 5
BFT 107 TIME VALUE OF MONEY
Follow the instructions:
a) Please submit your answer based on your group project in the class. State your group
project and your selection of company.
b) Please show the calculation for each of the question.
c) Please submit online through Whatsapp before 5 pm, Friday 20 November 2020.
1) Your current income is $50,000 per year, and you would like to maintain your current standard of
living (i.e., your purchasing power) when you retire. If you expect to retire in 30 years and expect
inflation to average 3% over the next 30 years, what amount of annual income will you need to live at
the same comfort level in 30 years?
FVn = PV*(1+r)^n
= $50000 * (1+0.03)^30
= $121363.12
2) Calculate the future value of $4,600 received today if it is deposited at 9 percent for three years.
PV = $4600
r = 0.09
n = 3
FVn = PV(1+r)*n
= $4600(1+0.09)*3
= $5957.13
3) Calculate the present value of $89,000 to be received in 15 years, assuming an opportunity cost of
14 percent.
FVn=$89000, r=0.14, n=15
PV = FVn * 1 / (1 + r) ^ n
= $89000 * 1 / (1 + 0.14) ^ 15
= $12468.59
4) Aunt Tillie has deposited $33,000 today in an account which will earn 10 percent annually. She plans
to leave the funds in this account for seven years earning interest. If the goal of this deposit is to cover
a future obligation of $65,000, what recommendation would you make to Aunt Tillie?
FV = PV (1+r)^n
FV=33,000(1.1)7=$64,308
Aunt Tillie will only have $64,308 at the end of seven years under the stated arrangement. She
must find an account with higher interest rate or deposit a larger sum today.
The amount Aunt Tillie should invest today to receive $65,000 after 7 years,
PV = 65,000 / (1.1)^7
= $33,355.28

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5) China Manufacturing Agents, Inc. is preparing a five-year plan. Today, sales are $1,000,000. If the
growth rate in sales is projected to be 10 percent over the next five years, what will the dollar amount
of sales be in year five?
PV = $1000000
r = 0.10
n = 5
FVn = PV(1+r)*n
= $1000000(1+0.10)*5
= $1610510
6) Colin has inherited $6,000 from his grandmother. He would like to invest this money for two years
and then use the proceeds from that investment to buy a new high-end gaming computer for $7,000.
Will Colin have enough money to buy the computer if he deposits his money in an account paying 8
percent compounded semiannually?
n=2, m=2, r=0.08
FV = 6,000 * (1 + 0.08/2)^4
= 6,000 * (1.04)^4
= 7019
Yes, Colin will have enough money to purchase the computer.
7) Dan and Jia are have just purchased a condominium for $70,000. Since the condo is very small, they
hope to move into a single-family house in 5 years. How much will their condo be worth in 5 years if
inflation is expected to be 8 percent?
FVn = PV(1+r)*n
= $70,000(1+0.08)^5
= $102853
8) Congratulations! You have just won the lottery! However, the lottery bureau has just informed you
that you can take your winnings in one of two ways. You can elect to receive a payment of $1,000,000
now or a payment of $1,750,000 in five years. Assume you can earn 5% on funds that you invest today.
How much money would you have in five years if you take the immediate $1,000,000 payment and
invest it? What does this tell you about the wisdom of selecting the immediate payment versus the
future payment? Using the same 5% interest rate, what is the present value of the $1,750,000 that
you could receive in five years? What does this calculation tell you about which lottery payout option
you should choose? What do your results suggest as a general rule for approaching such problems?
(Make your choices based purely on the time value of money.)
FVN = PV (1+r)n
The PV of X = $1,000,000; The PV of Y = $1,371,000
The PV of X = $1,276,000; The FV of Y = $1,500,000.
Based on both present values and future values, B is the better choice. Finding present values and
future values are simply reverse processes of one another, and that choosing between two lump
sums based on PV will always give the same result as choosing between the same two lump sums
based on FV.

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EXERCISE CHAPTER 5 BFT 107 – TIME VALUE OF MONEY Follow the instructions: a) Please submit your answer based on your group project in the class. State your group project and your selection of company. b) Please show the calculation for each of the question. c) Please submit online through Whatsapp before 5 pm, Friday 20 November 2020. 1) Your current income is $50,000 per year, and you would like to maintain your current standard of living (i.e., your purchasing power) when you retire. If you expect to retire in 30 years and expect inflation to average 3% over the next 30 years, what amount of annual income will you need to live at the same comfort level in 30 years? FVn = PV*(1+r)^n = $50000 * (1+0.03)^30 = $121363.12 2) Calculate the future value of $4,600 received today if it is deposited at 9 percent for three years. PV = $4600 r = 0.09 n=3 FVn = PV(1+r)*n = $4600(1+0.09)*3 = $5957.13 3) Calculate the present value of $89,000 to be received in 15 years, assuming an opportunity cost of 14 percent. FVn=$89000, r=0.14, n=15 PV = FVn * 1 / (1 + r) ^ n = $89000 * 1 / (1 + 0.14) ^ 15 = $12468.59 4) Aunt Tillie has deposited $33,000 today in an account which will earn 10 percent annually. She plans to leave the funds in this account for seven years earning interest. If the goal of this deposit is to cover a future obligation of $65,000, what recommendation would you make to Aunt Tillie? FV = PV (1+r)^n FV=33,000(1.1)7=$64,308 Aunt Tillie will only have $64,308 at the end o ...
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