AFM121 Lecture Notes - Lecture 4: Cash Flow
Get access
Related Questions
Assume that you have $1,000 to invest, so insert 1000 as your Present Value in the following table. Assume that you want to invest your money for 5 years (insert 5 for Number of Periods). Assume an annual interest rate of 3.00% (insert 3 for Interest Rate per Period). The table will determine the Future Value of your investment. If you input the numbers correctly, your Future Value is computed to be $1.159, which is what your investment will be worth in 5 years. Now revise the input to reflect your actual savings and the prevailing interest rate so that you can see how your savings will grow in 5 years. Even if you have no savings now, you can at least see how the interest rate affects the future value of savings by revising your input in the Interest Rate per Period and then observing the change in the Future Value. Future Value of a Present Amount Present Value $1,500 Number of Periods 5 Interest Rate per Period 3.0% FV = PV*(1+R)^N Future Value $1,739 2. Assume that you have $1,000 to invest at the end of each of the next 5 years, so insert 1000 as your Payment per Period in the following table. Assume that you want to invest your money for 5 years (insert 5 for Number of Periods). Assume an annual interest rate of 3.00% (insert 3 for Interest Rate per Period). The following table will determine the Future Value of your investment. If you input the numbers correctly, your Future Value is computed to be $5,309, which is what your investments will be worth in 5 years. Now revise the input to reflect your actual expected savings per year over the next 5 years, and existing interest rate quotations so that you can estimate how your savings will grow in 5 years. You can now revise the table to fit your own desired level of saving. Future Value of an Annuity Payment per Period $1,500 Number of Periods 5 Interest Rate per Period 3.0% FV = FV(R, N, PMT, (PV), beginning=1, end=0) Future Value $7,964 3. Assume that you want to deposit savings that will be worth $10,000 in 5 years, so insert 10000 as the Future Amount and 5 as the Number of Periods in the following table. Assume an annual interest rate of 3.00% (insert 3 for Interest Rate per Period). The following table will determine the Present Value, which represents the amount of savings you need today that would accumulate to be worth $10,000 in 5 years. If you input the numbers correctly, the Present Value is estimated in the table to be $8,606. Now revise the input to reflect your own desired savings amount in 5 years so that you can estimate how much you need now to achieve your savings goal in 5 years. Present Value of a Future Amount Future Amount $20,000 Number of Periods 5 Interest Rate per Period 3.0% PV = FV / (1+R)^N Present Value $17,252 4. Assume that you want to deposit savings at the end of each of the next 5 years so that you will have $10,000 in 5 years. So insert 10000 as the Future Amount and 5 for Number of Periods. Assume an annual interest rate of 3.00% (insert 3 for Interest Rate per Period). The following table will determine the Annual Payment, which represents the annual payments that will accumulate to your future desired investment. If you input the numbers correctly, your Annual Payment is computed to be $1,884. Now revise the input to reflect your own desired savings amount in 5 years so that you can estimate how much you need to save per year to achieve your savings goal in 5 years. Compute Payment Needed to Achieve Future Amount Future Amount $20,000.00 Number of Periods 5.00 Interest Rate per Period 3.00% PMT = FV / [FV(R, N, -1)] Annual Payment $3,767
Decisions 1. Using the above formulas and understanding of the impact of interest rates and time on your savings, report on how much you must save per year and the return you must earn to meet your savings goal for graduation, and your savings goal in your first three years of post-graduation life.
I need a report on how much to save per year and the return to earn to meet savings goal for graduation, and savings goal in the first three years of post graduation. Can you please use the numbers above that are already calculated in the formula. I have had an answer on this below. I don't understand why the periods don't stay the same for 5 years. The annuity is 7964 I took that divided b y 60 = 132.7 per month and multiplied it by 12 for a year and got 1592.4. Is that the savings for the answer to saving for a year. IF not I need help figuring out the calculation for the return to meet after gradutaion and the next three years post graduation.
Goal 1 | Savings Goal for graduation, FV | $ 20,000 | |||||
Time till graduation (Number of periods) | 5 | ||||||
Present value of savings | $ - | ||||||
Expected interest rates | 3% | ||||||
Savings needed per year, PMT | $3,767.09 | =PMT(3%,5,0,20000,) | |||||
Goal 2 | Savings Goal for 1st year of post graduation, FV | $ 15,000 | |||||
Time till post graduation year 1 (Number of periods) | 6 | ||||||
Present value of savings | $ - | ||||||
Expected interest rates | 3% | ||||||
Savings needed per year, PMT | $2,318.96 | =PMT(3%,6,0,15000,) | |||||
Goal 3 | Savings Goal for 2nd year of post graduation, FV | $ 15,300 | |||||
Time till post graduation year 1 (Number of periods) | 7 | ||||||
Present value of savings | $ - | ||||||
Expected interest rates | 3% | ||||||
Savings needed per year, PMT | $1,996.75 | =PMT(3%,7,0,15300,) | |||||
Goal 4 | Savings Goal for 3rd year of post graduation, FV | $ 15,606 | |||||
Time till post graduation year 1 (Number of periods) | 8 | ||||||
Present value of savings | $ - | ||||||
Expected interest rates | 3% | ||||||
Savings needed per year, PMT | $1,754.99 | =PMT(3%,8,0,15606,) |
Question 1 5 pts
0 multiple_choice_question 22046808
The internal rate of return (IRR) is the interest rate that sets the net present value of the future cash flows equal to ________.
The internal rate of return (IRR) is the interest rate that sets the net present value of the future cash flows equal to ________.
zero |
one |
one hundred |
none of the above |
Question 2 5 pts
On a timeline, the space between date 0 and date 1 represents the _______ between dates. Letâs assume it is the first year of the loan. Date 0 is the beginning of the first year, and date 1 is the end of the first year.
On a timeline, the space between date 0 and date 1 represents the _______ between dates. Letâs assume it is the first year of the loan. Date 0 is the beginning of the first year, and date 1 is the end of the first year.
dollar amount |
present value |
time period |
future value |
Question 3 5 pts
As the interest rate __________, present value decreases.
As the interest rate __________, present value decreases.
decreases |
increases |
remains unchanged |
is unrelated |
Question 4 5 pts
The present value (PV) of a stream of cash flows is the _______ the present values of each individual cash flow
The present value (PV) of a stream of cash flows is the _______ the present values of each individual cash flow
difference between |
product of |
sum of |
same as |
Question 5 5 pts
When a constant cash flow will occur at regular intervals for a finite number of periods of time, it is called a(n) __________.
When a constant cash flow will occur at regular intervals for a finite number of periods of time, it is called a(n) __________.
annuity |
perpetuity |
interest payment |
principle payment |
Question 6 5 pts
Edit this Question Delete this Question
0 multiple_choice_question 22047052
There are two basic types of annuities:
There are two basic types of annuities:
Discounted and compounded annuities |
Ordinary annuities and annuities due. |
Future value and present value annuities |
None of the above |
Question 7 5 pts
The NPV measures the ______ change in shareholder wealth that arises from undertaking a project.
The NPV measures the ______ change in shareholder wealth that arises from undertaking a project.
consistent |
dollar |
annual |
semi-annual |
Question 8 5 pts
The Net Present Value rule implies that we should compare a projectâs net present value (NPV) to ________
The Net Present Value rule implies that we should compare a projectâs net present value (NPV) to ________
zero |
one |
100 |
none of the above |
Question 9 5 pts
To endow a perpetuity is the same as calculating the present value (PV) of a perpetuity. Say you want to endow an annual graduation party at your alma mater. You want the event to be a memorable one, so you budget $30,000 per year forever for the party. If the university earns 8% per year on its investments, and if the first party is in one yearâs time, how much will you need to donate to endow the party?
The formula for PV of a perpetuity = C\r; = $30,000 \ 0.08; =
To endow a perpetuity is the same as calculating the present value (PV) of a perpetuity. Say you want to endow an annual graduation party at your alma mater. You want the event to be a memorable one, so you budget $30,000 per year forever for the party. If the university earns 8% per year on its investments, and if the first party is in one yearâs time, how much will you need to donate to endow the party?
The formula for PV of a perpetuity = C\r; = $30,000 \ 0.08; =
$3,750 |
$37,500 |
$375,000 |
$3,750,000 |
Question 10 5 pts
With an Ordinary Annuity, payments are required at the ________ of each period. An example of this is bonds which usually pay coupon payments at the end of every six months until the bond's maturity date.
With an Ordinary Annuity, payments are required at the ________ of each period. An example of this is bonds which usually pay coupon payments at the end of every six months until the bond's maturity date.
beginning |
middle |
end |
payments are not required |