Flashcards in Problems Deck (19):

1

##
Calculate the value in five years of $1,000 deposited in a savings account today if the account pays interest at a rate of 8 percent per year, compounded annually

### 1000(FV) = 1469.33

2

## Calculate the value in five years of $1,000 deposited in a savings account today if the account pays interest at a rate of 8 percent per year, compounded quarterly

###
interest per compound = .08/4 = .02

periods compounded = 20

1000(FV_2%,20) = 1485.95

3

##
A business is considering purchasing a machine that is projected to yield cash savings of $1,000 per year over a 10-year period. Using a 12 percent discount rate, calculate the present value of the savings. (Assume that the cash savings

occur at the end of each year.)

### 1000(PVOA) = 5,650.22

4

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How much will $1,000 deposited in a savings account earning a compound annual interest rate of 6 percent be worth at the end of the following number of years?

a. 3 years

b. 5 years

c. 10 years

###
a. 1000(FV) = 1,191.02

b. 1000(FV) = 1,338.23

c. 1000(FV) = 1,790.85

5

##
If you require a 9 percent return on your investments, which would you prefer?

a. $5,000 today

b. $15,000 five years from today

c. $1,000 per year for 15 years

###
a: PV of 5000 today is 5000

b: PV of a lump sum- $15000(.64993) = 9748.95

c: PV of an ordinary annuity - $1000(8.06069) = 8060.69

option 2b has largest PV so this is best option

6

## The Lancer Leasing Company has agreed to lease a hydraulic trencher to the Chavez Excavation Company for $20,000 a year over the next 8 years. Lease payments are to be made at the beginning of each year. Assuming that Lancer invests these payments at an annual rate of 9 percent, how much will it have accumulated by the end of the 8th year?

### 20,000(FVAD) = 240,420.73

7

## Determine the present value, discounted at 6 percent per year of $50,000 to be received 5 years from today if the interest rate is compounded Semiannually

###
periods = 10

discounted compound per year = .06/2 = .03

50,000(PV3%, 10) = 37204

(.74409)

8

##
Interest Target Capital Structure

Debt 4% 30%

Equity 10% 50%

P.S. 6% 20%

Calculate WACC

### .30*.04 + .50*.10 + .20*.06 = WACC

9

##
You are considering the purchase of a 20-year, 10% coupon bond. The bond pays coupons annually. The required rate of return for similar bonds is 8%. What price are you willing to pay for the bond?

###
Required rate of return =.08

Principle payment

Interest AKA Coupon payment = 1000*.1 = 100

P_o = 100*PVIFA_8%,20 + 1000*PVA

=(100*9.81815)+(1000*.21455)=1196.365

10

##
You are considering the purchase of a 20-year, 10% coupon bond. The bond pays coupons semi-annually. The required rate of return is 8%. What price are you willing to pay for the bond?

###
(50*19.79277)+(1000*.20829)=1197.9285

4%, 40 periods

11

##
Company A issues zero coupon bonds which will mature in 20 years. The required rate of return is 8%. What is the value of the bond today?

### (1000*.21455)=214.55

12

##
Suppose that an individual would like to have 5000 saved within 5 years. The individual plans on making equal deposits per year starting today into an account that has an effective annual rate of 3%. how much should be deposited?

###
5000/(FVAD)=914.41

5.468

13

##
Suppose an individual would like to calculate their future balance after 5 years with today being the first deposit. The amount deposited per year is 1000 and the account has an effective rate of 3% per year.

###
1000(FVAD)=5468.4

5.468

14

##
Johnson who is currently attending college has a rich uncle who has decided to put aside some money each year for truck so when he graduates he'll be able to pay off his college loans. Chucks uncle places 5000 into an investment account earning 6% at the beginning of each year. When Chuck graduates from college in 4 years, how much money will he receive from his uncle?

###
5000(FVAD)=23185.5

4.6371

15

## If you invest $1000 at the end of every year for 5 years and received a return of 7%, how much is this worth in today's dollars?

###
1000*PVA=4100.2

16

##
You figure that you would need 20,000 dollars for the down payment on the home you plan to purchase in 4 years how much must you invest in this account today if that account is paying 9 percent per annum to meet this goal?

###
20000*PVIF=14168.6

.70843

17

##
If you invest 1000 dollars at the beginning of every year for 5 years and receive a return of 7%, how much is this worth in today's dollars?

###
1000*PVAD=4387.21

4.38721

18

## An investor is considering the purchase of ABC corp. Bonds. The investor plans on holding the bond until maturity which means she will earn $60 per annum for the next 7 years and received per principle of 1000 dollars at the end of the 7th year. Would she be willing to pay $900 for this bond? Why?

###
60(PVOA6%,7)+1000(PVIF6%,7)=1000.044

5.58238 .66506

19