1. You place $5,000 in a savings account earning 2.50% interest compounded annually. How much will you have at the end of four years? How much would you have at the end of four years if interest is compounded semiannually?

If interest compounded annually I would have saved $5,519.06 at the end of four years. If interest compounded semiannually I would have saved $5,522.43 at the end of four years. 2. Change the interest rate to a higher rate. How much will you have at the end of four years if interest is compounded annually at a rate of 3%? How much would you have at the end of four years if interest is compounded semiannually?

If the interest compounded annually I would have saved $5,627.54 at the end of four years.

If the interest compounded semiannually I would have saved $5,632.46 at the end of four years.

3. Now change the interest rate to a lower rate. How much will you have at the end of four years if interest is compounded annually at a rate of 2%? How much would you have at the end of four years if interest is compounded semiannually?

If the interest compounded annually I would save $5,412.28 at the end of four years.

If the interest compounded semiannually I would save $5,412.16 at the end of four years.

4. You have $10,000 in credit card debt, at a 14% interest rate. When is it beneficial to pay off the debt vs. putting money in a savings account? Explain the pros and cons of either option. I think with a 14% interest rate is would be beneficial to pay off the debt instead of putting money in a savings account. I would pay it off as fast as possible because the cost would be after 1 year with 14% $11,449.00, and after four years $17,181l86. This would be a big lump sum of money I could save if I pay it off fast. Pros and cons of saving money: I would have some savings I could use as collateral when applying for loans and I also would gain interest on my savings. Interest rates on savings accounts are usually lower,...

...TimeValue of Money (TVM), developed by Leonardo Fibonacci in 1202, is an important concept in financial management. It can be used to compare investment alternatives and to solve problems involving loans, mortgages, leases, savings, and annuities.
TVM is based on the concept that a dollar today is worth more than a dollar in the future. That is mainly because money held today can be invested and earn interest.
A key concept of TVM is that a single sum of money or a series of equal, evenly-spaced payments or receipts promised in the future can be converted to an equivalent value today. Conversely, one can determine the value to which a single sum or a series of future payments will grow to at some future date.
The timevalue of money serves as the foundation for all other notions in finance. It impacts business finance, consumer finance and government finance. Timevalue of money results from the concept of interest.
Key Components of TimeValue of Money
Present Value is an amount today that is equivalent to a future payment, or series of payments, that has been discounted by an appropriate interest rate. The future amount can be a single sum that will be received at the end of the last period, as a...

...Introduction
The timevalue of money is an important concept in financial management. It can be used to compare investment alternatives and to solve problems involving loans, mortgages, leases, savings, and annuities. The timevalue of money can be defined as the value of money received today instead of in the future. This is based on the premise that cash in hand today is more valuable than the same amount in the future due to its capability of earning interest. For investors, this is single most important concept in the world of finance. This paper will discuss the different financial applications of the timevalue of money. This paper will also describe the components of interest and highlight various methods of calculating timevalue of money using different interest scenarios.
Financial Applications of the TimeValue of MoneyTimevalue of money has many useful applications. One of the most important uses is that it helps to measure the trade-off in spending and saving. This can have important consequences for your personal budgeting. If market interest rates are at 5%, one may decide that the timevalue of money is greater in the future, and...

...In financial management, one of the most important concepts is the TimeValue of Money (TVM). TimeValue of Money concepts helps a manager or investors understand the benefits and the future cash flow to help justify the initial cost of the project or investment. Many of the assets businesses and individuals own are financed with money borrowed from others, so the understanding of TVM is crucial to making good buying decisions. To recognize how annuities affect the timevalue of money, managers need to consider the factors of interest rate, opportunity costs, future and present values of money, and compounding.
Interest Rates and CompoundingIn most business cases, borrowing money is not necessarily a free enterprise. It costs companies money to obtain funds on credit to finance various aspects of their business. The fee that a borrower pays to a lender for use of its money is interest. The annual percentage rate (APR) makes assumptions based on simple interest, which is interest only earned on the principal investment.
Another method of accruing interest is through compounding. Compound interest is not only charged on the original investment, but also assessed on the interest charged or earned for each period. "When comparing interest rates, it is best to use...

...TimeValue of Money
Exercise
1. If you invest $1000 today at an interest rate of 10% per year, how much will you have 20 years from now, assuming no withdrawals in interim?
2. a. If you invest $100 every year from the next 20 years starting one year from today and you earn interest of 10% per year, how much will you have at the end of the 20 years?
b. How much must you invest each year if you want to have $50000 at the end of the 20 years?
3. What is the present value of the following cash flows at an interest rate of 10% per year? (Hints: don’t need to use the financial keys of your calculator, just dome common sense)
a. $100 received five years from now
b. $100 received 60 years from now
c. $100 received each year beginning one year from now and ending 10 years from now
d. $100 each year beginning one year from now and continuing forever
4. You want to establish a “wasting” fund, which will provide your with $1000 per year for four years, at which time the fund will be exhausted. How much must you put in the fund now if you can earn 10% interest per year?
5. You take a one-year installment loan of $1000 at an interest rate of 12% per year (1% per month) to be repaid in 12 equal monthly payments.
a. What is the monthly payment?
b. What is the total amount of interest paid over the 12-month term of the loan?
6. You are taking out a $100000 mortgage...

...FINANCE
TIMEVALUE OF MONEY
The aim of this paper is to learn about time-value-of-money to make optimal decisions as manger must understand the relationship between a dollars present today and a dollar in the future.
Timevalue of money
Today’s financial managers often have to compare cash payments that occur on different dates. To make optimal decisions, the manager must understand the relationship between a dollar today [present value] and a dollar in the future [future value]. The timevalue of money is basically a measurement or perspective of an investment you might make while still considering its future decrease in value due to inflation. The timevalue of money allows us to understand what that inflation or decrease may become in the future or present. Most importantly, the timevalue of money concept allows us to decide whether it would be beneficial placing a sum of money into investment where it collects value from interest, or whether that same amount of money would be most valuable in the present due to inflation rates.
Understanding the concept of timevalue of money
It...

...ACFI 340 – TAKE HOME QUIZ - FALL, 2011
Below you will find a series of independent questions involving present value concepts. Show all factors used in present value computations and indicate the table that was used (FV of $1, PV of $1, etc). If you use a financial calculator, show the key strokes you used to compute the answer: N, i/y, PV, FV and PMT
Please download a copy of this quiz and type your answers after each question. Each student should design his/her own spreadsheets. Where amortization schedules are required, they should be labeled as exhibits and attached at the end of your quiz. On mortgage amortization schedules, attach only the first and last page of the schedule.
No “canned program” spreadsheets should be used. While you may discuss the quiz with one another, you are expected to prepare your own solutions independently of other students. Obviously identical spreadsheets will result in a penalty of 30 points on your total score.
a. Sacks Corporation bought a new machine and agreed to pay for it in 5 equal installments of $40,000 at the end of each of the next 5 years. Assuming that the prevailing rate of 6% applies to this contract, how much should Sacks record as the cost of the machine?
b. Design amortization schedules showing the payments under the assumption:
1. Interest is included in the face amount of the note.
2. The note is an interest bearing note.
c. Prepare the entry to...

...TimeValue of Money
The timevalue of money (TVM) or, discounted present value, is one of the basic concepts of finance and was developed by Leonardo Fibonacci in 1202. The timevalue of money (TVM) is based on the premise that one will prefer to receive a certain amount of money today than the same amount in the future, all else equal. As a result, when one deposits money in a bank account, one demands (and earns) interest. Money received today is more valuable than money received in the future by the amount of interest we can earn with the money. If $90 today will accumulate to $100 a year from now, then the present value of $100 to be received one year from now is $90.
To fully understand timevalue of money one must first understand a few terms. Present value and future value are totally different. They also have their disadvantages and advantages; it just depends on how they are used. Of course, present value is what you have right now at this present time. While future value is the amount of money you will have at a given time in the future. Future value has a tendency to be deep;...

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