Showing posts with label annual interest rate. Show all posts
Showing posts with label annual interest rate. Show all posts

Wednesday, July 7, 2021

You have just purchased a car from Friendly Sam. The selling price of the car is $6,500. If you pay $500 down

You have just purchased a car from Friendly Sam. The selling price of the car is $6,500. If you pay $500 down, then your monthly payments are $317.22. The annual interest rate is 24%. How many payments must you make?

Answer:  i=24/2, PV=6000, PMT=317.22, FV=0, n = 24 months


a.) If Sparco, Inc. deposits $150 at the end of each year for the next eight years in an account that pays 5% interest, how much money will Sparco have at the end of eight years?
b.) Suppose Sparco decides that they need to have $5,300 at the end of the eight years. How much will they have to deposit at the end of each year?
Answer: 
a.     n=8, i=5, PV=0, PMT=-150, FV= 1432.37
b.    n=8, i=5, PV=0, FV=5300, PMT=-555.03



What is a series of equal payments for an infinite period of time called?
A) A perpetuity
B) An axiom
C) A cash cow
D) An annuity

You have just purchased a share of preferred stock for $50.00. The preferred stock pays an annual dividend of $5.50 per share forever. What is the rate of return on your investment?
A) .055
B) .010
C) .110
D) .220


The present value of a perpetuity decreases when the ________ decreases.
A) number of investment periods
B) annual discount rate
C) perpetuity payment
D) both B and C

You are going to pay $800 into an account at the beginning of each of 20 years. The account will then be left to compound for an additional 20 years. At the end of the 41st year you will begin receiving a perpetuity from the account. If the account pays 14%, how much will you receive each year from the perpetuity (round to nearest $1,000)?
A) $140,000
B) $150,000
C) $160,000
D) $170,000

You are considering the purchase of XYZ Company's common stock which will pay a $1.00 per share dividend one year from the date of purchase.  The dividend is expected to grow at the rate of 4% per year.  If the appropriate discount rate for this investment is 14%, what is the price of one share of this stock?
A) $7.14
B) $10.00
C) $25.00
D) Cannot be determined without maturity date

You have a credit card with a balance of $18,000. The annual interest rate on the card is 18% compounded monthly

You have a credit card with a balance of $18,000. The annual interest rate on the card is 18% compounded monthly, and the minimum payment is $400 per month. If you pay only the minimum payment each month and do not make any new charges on the card, how many years will it take for you to pay off the $18,000 balance?
Answer:  Calculator steps:
18,000                   PV
-400                       PMT
18                           I/yr or I
N = Approximately 75 months = 6.25 years

If you have an opportunity cost of 10%, how much must you invest each year to have $4,000 accumulated in 10 years?

Answer:  Using a financial calculator, N=10, i=10, PV=0, FV=4000, solve for PMT=-250.98


You have just received an endowment of $32,976. You plan to put the entire amount in an account earning 8 percent compounded annually and to withdraw $4000 at the end of each year. How many years can you continue to make the withdrawals?
Answer:   Using a financial calculator, i=8, PV=32976, FV=0, solve for PMT=-4000, solve for N=approximately 14 years

To repay a $2,000 loan from your bank, you promise to make equal payments every six months for the next five years totaling $3,116.20. What annual rate of interest will you be paying?
Answer:  Using a financial calculator, N=10, i=10, PV=0, FV=4000, solve for PMT=-250.98
        Annual interest rate = (.09)(2) = .18 = 18%

You are saving money to buy a house. You will need $7,473.50 to make the down payment. If you can deposit $500 per month in a savings account which pays 1% per month, how long will it take you to save the $7,473.50?
Answer:   $7,473.50 = $500 FVIFA[1%, n periods]
14.947 = FVIFA[1%, n periods]
        n = 14 months



You have borrowed $70,000 to buy a speed boat. You plan to make monthly payments over a 15-year period. The bank has offered you a 9% interest rate, compounded monthly. Create an amortization schedule for the first two months of the loan.
Answer:  Using a financial calculator N=180, i=9/12, PV=70000, FV=0, PMT=-709.99

MO         Beg                         PMT               Int.                 Princ.             End
1              $70,000                 $709.99         $525              $184.99         $69,815.01
2              $69,815.01           $709.99         $523.61         $186.38         $69,628.63

Bull Gator Industries is considering a new assembly line costing $6,000,000. The assembly line will be fully depreciated

Bull Gator Industries is considering a new assembly line costing $6,000,000. The assembly line will be fully depreciated by the simplified s...