8.5E: Exercises - Classification of Finance Problems
PROBLEM SET: CLASSIFICATION OF FINANCE PROBLEMS
Let the letters A, B, C, D, E and F be represented as follows:
\[\begin{array}{lll}A=F V \text { of a lump-sum } & C=F V \text { of an annuity } & E=\text { Installment payment } \\ B=P V \text { of a lump-sum } & D=\text { sinking fund payment } & F=P V \text { of an annuity }\end{array} \nonumber\]
Classify each by writing the appropriate letter in the box, and write an equation for solution.
1) What monthly deposits made to an account paying 9% will grow to $10,000 in 4 years?
2) An amount of $4000 is invested at 6% compounded daily. What will the final amount be in 5 years?
3) David has won a lottery paying him $10,000 per month for the next 20 years. He'd rather have the whole amount in one lump sum now. If the current interest rate is 7%, how much money can he hope to get?
4) Each month Linda deposits $250 in an account that pays 9%. How much money will she have in 4 years?
5) Find the monthly payment for a $15,000 car if the loan is amortized over 4 years at a rate of 10%.
6) What lump-sum deposited in an account paying 7% compounded daily will grow to $10,000 in 5 years?
7) What amount of quarterly payments will amount to $250,000 in 5 years at a rate of 8%?
8) The Chang family bought their house 25 years ago. They had their loan financed for 30 years at an interest rate of 11% resulting in a payment of $1350 a month. Find the balance of the loan.
A 10-year $1000 bond pays $35 every six months. If the current interest rate is 8%, in order to find the fair market value of the bond, we need to find the following.
9) The present value of $1000.
10) The present value of the $35 per six month payments.
11) What lump-sum deposit made today is equal to 33 monthly deposits of $500 if the interest rate is 8%?
12) What monthly deposits made to an account paying 10% will accumulated to $10,000 in six years?
13) A department store charges a finance charge of 1.5% per month on the outstanding balance.
If Ned charged $400 three months ago and has not paid his bill, how much does he owe?
14) What will the value of $300 monthly deposits be in 10 years if the account pays 12% compounded monthly?
15) What lump-sum deposited at 6% compounded daily will grow to $2000 in three years?
16) A company buys an apartment complex for $5,000,000 and amortizes the loan over 10 years.
What is the yearly payment if the interest rate is 14%?
17) In 2002, a house in Rock City cost $300,000. Real estate in Rock City has been increasing in value at the annual rate of 5.3%.. Find the price of that house in 2016.
18) You determine that you can afford to pay $400 per month for a car. What is the maximum price you can pay for a car if the interest rate is 11% and you want to repay the loan in 4 years?
19) A business needs $350,000 in 5 years. How much lump-sum should be put aside in an account that pays 9% so that five years from now the company will have $350,000?
20) A person wishes to have $500,000 in a pension fund 20 years from now. How much should he deposit each month in an account paying 9% compounded monthly?