Page I
1 ( Compound value solving/or 11) How many years will the following take?
a. $500 to grow to $1,419.71 if invested at 11 percent compounded annually
b. $38 to grow to $65. 1 3 if invested at 8 percent compounded annually
c. $ 120 to grow to $523.62 if invested at 12 percent compounded annually
d. $51 to grow to $62.05 if invested at 4 percent compounded annually
a. How many years wil l it take for $500 to grow to $1,419.71 if invested at 11 percent compounded annually?
_ years (Round to the nearest whole number.)
b. How many years will it take for $38 to grow to $65.13 if invested at 8 percent compounded annually?
_ years (Round to the nearest whole number.)
c. How many years will it take for $ 120 to grow to $523.62 i f invested at 12 percent compounded annually?
_ years (Round to the nearest whole number.)
d. How many years will it take for $51 to grow to $62.05 if invested at 4 percent compounded annually?
_ years (Round to the nearest whole number.)
2 . (Present value) What is the present value of the following future amounts?
a. $600 to be received 9 years from now discounted back to the present at 9 percent.
b. $200 to be received 7 years from now discounted back to the present at 7 percent.
c. $1,200 to be received 12 years from now discounted back to the present at 5 percent.
d. $1,200 to be received 5 years from now discounted back to the present at 17 percent.
a. What is the present value of $600 to be received 9 years from now cliscounted back to the present at 9 percent?
$_ (Rou nd to the nearest cent.)
b. What is the present value of $200 to be received 7 years from now discounted back to the present at 7 percent?
$_ (Round to the nearest cent.)
c. What is the present value of $1,200 to be received 12 years from now discounted back to the present at 5 percent ?
$_ (Roun d to the nearest cent.)
d. What is the present value of $1,200 to be received 5 years from now discounted back to the present at 17 percent?
$_ (Rou nd to the nearest cent.)
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3 . (Future value) Sarah Wiggum would like to make a single lump-sum investment and have $ 1.9 million at the time of her retirement in 26
years. She has found a mutual fund that expects to earn 4 percent annually. How much must Sarah invest today? If Sarah earned an annual
return of 15 percent, how much must she invest today?
a. IfSarah can earn 4 percent annually for the next 26 years; how much will she have to invest today?
$_ (Round to the nearest cent.)
b. If Sarah can earn 15 percent annually for the next 26 years, how much will she have to invest today?
$_ (Round to the nearest cent.)
4 . (Loan amortization ) Mr. Bill S. Preston, Esq., purchased a new house for $ 160,000. He paid $20,000 down and agreed to pay the rest over
the next 10 years in 10 equal end-of-year payments plus 7 percent compound interest on the unpaid balance. What will these equal
payments be?
The e.
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Page I 1 ( Compound value solvingor 11) How many year.docx
1. Page I
1 ( Compound value solving/or 11) How many years will the
following take?
a. $500 to grow to $1,419.71 if invested at 11 percent
compounded annually
b. $38 to grow to $65. 1 3 if invested at 8 percent compounded
annually
c. $ 120 to grow to $523.62 if invested at 12 percent
compounded annually
d. $51 to grow to $62.05 if invested at 4 percent compounded
annually
a. How many years wil l it take for $500 to grow to $1,419.71 if
invested at 11 percent compounded annually?
_ years (Round to the nearest whole number.)
b. How many years will it take for $38 to grow to $65.13 if
invested at 8 percent compounded annually?
_ years (Round to the nearest whole number.)
c. How many years will it take for $ 120 to grow to $523.62 i f
invested at 12 percent compounded annually?
2. _ years (Round to the nearest whole number.)
d. How many years will it take for $51 to grow to $62.05 if
invested at 4 percent compounded annually?
_ years (Round to the nearest whole number.)
2 . (Present value) What is the present value of the following
future amounts?
a. $600 to be received 9 years from now discounted back to the
present at 9 percent.
b. $200 to be received 7 years from now discounted back to the
present at 7 percent.
c. $1,200 to be received 12 years from now discounted back to
the present at 5 percent.
d. $1,200 to be received 5 years from now discounted back to
the present at 17 percent.
a. What is the present value of $600 to be received 9 years from
now cliscounted back to the present at 9 percent?
$_ (Rou nd to the nearest cent.)
b. What is the present value of $200 to be received 7 years from
now discounted back to the present at 7 percent?
$_ (Round to the nearest cent.)
3. c. What is the present value of $1,200 to be received 12 years
from now discounted back to the present at 5 percent ?
$_ (Roun d to the nearest cent.)
d. What is the present value of $1,200 to be received 5 years
from now discounted back to the present at 17 percent?
$_ (Rou nd to the nearest cent.)
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3 . (Future value) Sarah Wiggum would like to make a single
lump-sum investment and have $ 1.9 million at the time of her
retirement in 26
years. She has found a mutual fund that expects to earn 4
percent annually. How much must Sarah invest today? If Sarah
earned an annual
return of 15 percent, how much must she invest today?
a. IfSarah can earn 4 percent annually for the next 26 years;
how much will she have to invest today?
$_ (Round to the nearest cent.)
b. If Sarah can earn 15 percent annually for the next 26 years,
how much will she have to invest today?
$_ (Round to the nearest cent.)
4. 4 . (Loan amortization ) Mr. Bill S. Preston, Esq., purchased a
new house for $ 160,000. He paid $20,000 down and agreed to
pay the rest over
the next 10 years in 10 equal end-of-year payments plus 7
percent compound interest on the unpaid balance. What will
these equal
payments be?
The equal payments wi ll be $_. (Round to the nearest cent.)
5 . ( Solving /or r of an annuity) You lend a friend $30,000,
which your friend will repay in 5 equal annual end-of-year
payments of $9,000, with
the first payment to be received 1 year from now. What rate of
return does your loan receive?
The rate ofreturn your loan will receive is _%. (Round to two
deci mal places.)
6. ( Complex present value) You would like to have $35,000 in
16 years. To accumulate this amount you plan to deposit each
year an equal sum in
the bank, which will earn 5 percent interest compounded
annually. Yom first payment will be made at the end of the
year.
a. How much must you deposit annually to accumulate late this
5. amount?
b. If you decide to make a large lump-sum deposit today instead
of the annual deposits, how large should this lump-sum deposit
be?
(Assume you can earn 5 percent on this deposit.)
c. At the end of 5 years you will receive $8,000 and deposit this
in the bank toward your goal of $35,000 at the end of 16 years.
In addition
to this deposit, how much must you deposit in equal annual
deposits to reach your goal? (Again answer you can earn 5
percent on this
deposit.)
a. How much must you deposit annually to accumulate $35,000
in 16 years?
$_ (Round to the nearest cent.)
b. If you decide to make a large lump-sum deposit today instead
of the annual deposits, how large should this lump-sum deposit
be?
(Assume you can earn 5 percent on this deposit.)
$_ (Round to the nearest cent.)
c. At the end of 5 years you will receive $8,000 and deposit this
in the bank toward your goal of $35,000 at the end of 16 years.
Inaddition to
this deposit, how much must you deposit in equal annual
6. deposits to reach your goal? (Again assume you can earn 5
percent on this deposit.)
$_ (Rou nd to the nearest cen t.)
Page 5
,,
7. Expected rate of return and risk) Carter Inc. is evaluating a
security. Calculate the investment's expected return and its
standard deviation.
PROBABILITY RETURN CJ
0.10 6%
0.40 9%
0.40 11%
0.10 16%
a. The investment's expected rate of return is _%. (Round to
two decima l p l aces)
b. The investment’s standard deviation is _%. (Round to two
decimal places)
8. (Holding-period returns) From the price data that follow,
compute the holding-period returns for pe1iods 2 through 4.
7. PERIOD
1
2
3
4
STOCK PRICE CJ
$13
16
10
17
The holding-period return i n period 2 for the stock is _%.
(Round to two deci mal places.)
The holding-period return in period 3 for the stock is _%.
(Round to two decimal places .)
The holding-period return in period 4 for the stock is _%.
(Roun d to two decimal places.)
9. (Capital asset pricing model) MFI Inc. has a beta of 1.89. If
the expected market return is 11.0 percent and the risk-free rate
8. is 7.0
percent, what is the appropriate required return of MFI (using
the CAPM)?Using the CAPM, the appropriate required return
of MFI is
____% (Rou nd to two decimal places.)
..
I O. Which rate of return is the risk-free rate? Why?
Securities
Nominal Average
Annual Returns
Standard Deviation
of Returns
Real Average
Annual Returns (*)
Risk
Premium
Large-company stocks 11.7% 20.0% 8.5% 8.0%
9. Small-company stocks 17.4% 33.0% 14.2% 13.7%
Corporate bonds 6.2% 8.5% 3.0% 2.5%
Government bonds 5.2% 5.7% 2.0% 1.5%
U.S. Treasury bills 3.7% 3.1% 0.5% 0.0%
Inflation 3.2% 4.3%
(*) The real return equals the nominal returns less the inflation
rate of 3.2 percent.
Which rate of return in the table is the risk-free rate? (Select
the best choice below.)
A. 6.2%
B. 3.7%
C. 1 1.7%
D. 17.4%
E. 5.2%
Treasury bills are risk-free assets because they have a short-
term maturity date, thei r price is less volatile, and there is no
chance of default on them.
True O R False