FIN 300 Lecture Notes - Lecture 3: Cash Flow, Bachelor Of Business Administration, Jargon

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25 Sep 2017

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Investment growth: suppose you invest at 5% per year, with the interest reinvested each year. What will your investment be worth in two years: value in one year = principal + interest = 1000 + 1000 x 0. 05 = 1000 x (1+0. 05) = 1050: value in two years = new principal + interest = 1050 + 1050 x 0. 05 = [1050 x (1 + 0. 05)] x (1 + 005) = 1000 x (1+0. 05)2 = 1,102. 50. Law of one price: in competitive markets, the same goods must have the same price. Example: hy marx can put ,000 into an investment that will provide an expected cash flow of. ,000 in one year and again two years: the appropriate timeline for this investment is: N (1 r: the fv of this investment in n periods is. Fv example: noah little has ,000 earning 4% per year and will add ,000 to this investment in one year and in two years.

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,)

Are my answers correct?

Suppose you invest $10,000 in a savings account earning 2% interest (compounded yearly) with no risk. After 7 years, how much will you have?

Principal = $10,000.00

Rate = 2.00%

Year = 7

Amount (Compound interest) = P x (1 + r/n) ^nt

Where P = Principal

r rate of interest

n = number of time interest is calculated in a year

t = time

Amount after 7 years = 10,000 x (1+0.02) ^7 = $11,486.86

Repeat Question #1, but this time there is an inflation rate of 4%. How does this change your overall return on investment? If you had a chance to invest in an account with a long-term expected rate of 5%, with a 50% chance of earning 0% nominal compound interest and a 50% chance of earning 10% nominal compound interest in each year, would you choose this account, or the savings account? Why?

Effects of inflation on PV = 10,000 x (1/(1+0.04)^7) = $7,599.18

FV Adjusted for inflation = 11,486.86 x (1/(1+0.04)^7) = $ 8,729.07

Overall return on investment will decrease by 1,270.93 = 10,000 â 8,729.07

Repeat #1 with inflation:

Amount after 7 years = 10,000 x ((1+0.02)/(1+0.04)) ^7

10,000 x (0.98) ^7 = $8,729.07.

Safe vs. Risky (not including inflation)

If I get 0%, the amount after 7 years = 10,000 x (1+0.00) ^7 = $10,000.00

If I get 10%, the amount after 7 years = 10,000 x (1+0.10) ^7 = $19,487.17

If I get 5% (expected), amount after 7 years = 10,000 x (1+0.05) ^7 = $14,071.00

I would choose the account with the 5% expected rate of return because it has higher effective annual return over the saving account. There is a higher return, but the risk is higher as compared to the savings account, which provides a certain return.

Suppose you will need $50,000 in 4 years to start up a new business you have planned. With a 5% real interest rate, how much do you have to invest now in order to achieve this goal?

This condition clearly says that we need to calculate the present value of the future earnings and it has to be the present value factor and not annuity.

Therefore, to get 50000 is the future value therefore present value of 50000

Amount to be invested today =PVF@5%,4 *Amount

= .82270 * 50000

= $ 41135.12

Repeat Problem #3, but assume you can contribute an equal amount on a yearly basis. How much would you need to put into the account each year?

Amount to invested each year = Amount /FVAF@5%,4 = 11,600.66

magentajackal745

Calculate the following Time Value of Money problems a) If I am to receive $10,000 in 5 years and given a 5% rate of return, what would be present value of this amount b) If I put $7,000 in the bank at 3% interest for 10 years , what is the future value of that amount c) If I deposit $1,000 a year into an account for 10 years at 2%, what is the future Value of that account d) what is the present value of $1,000 a year deposited for 10 years at 4% interest. ---these questions were answered.

a. Present value of this amount = 10,000/1.05⁵ = 7,835.26

b. future value of the amount = 7,000 * 1.03¹⁰ = 9,407.41

c. N = 10, PV = 0, rate = 2%, PMT = 1000

use FV function in Excel

Future value = 10,949.72

d. PMT = 1000, FV = 0, rate = 4%, N = 10

use PV function in Excel

present value = 8,110.90

A maximum of 4 subsections can be answered, please raise new request for more answers

I need help with the questions below:

1. Please explain what is a callable bond .

2. Why would a firm call a bond and what are the major risks of conducting business outside of your domestic environment.

3. Why would you consider conducting business internationally

4. What are the major risks of conducting business outisde of your domestic environment

FIN 300 Lecture Notes - Lecture 3: Cash Flow, Bachelor Of Business Administration, Jargon

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