🏷️ LIMITED TIME OFFER: GET 20% OFF GRADE+ YEARLY SUBSCRIPTION →
Log in
HomeTextbook Notes300,000CA170,000

AFF 502 Chapter Notes - Chapter 2: Discount Window, Annual Percentage Rate, Opportunity Cost

60 views3 pages
School
Ryerson University
Department
Finance
Course
AFF 502
Professor
Scott Anderson

For unlimited access to Textbook Notes, a Class+ subscription is required.

Document Summary

Underlying the tmv of money is concept of a rate of return. We use it to compare different investments and loans, essential preparation for debt and credit management and investment management. Discount bond: investment that pays no interest during its life; the interest you receive on it is part of the final payment. Example: you invest . 09 today, in one year you will receive ,000. The interest you receive on it is part of the final payment. You received [-. 09] / . 09 = 10% Discount rate: the interest rate, or rate of return, that we use to equate amounts paid or received in different periods. You give up the ,000 you"ll get in one year"s time. Annual usually implied when saying rate of return . Example: suppose we want to know the average annual rate of return we earned over 4 years, with the following observed rates in each year.

Get access

Grade+20% off
$8 USD/m$10 USD/m
Billed $96 USD annually
Grade+
Homework Help
Study Guides
Textbook Solutions
Class Notes
Textbook Notes
Booster Class
40 Verified Answers
Class+
$8 USD/m
Billed $96 USD annually
Class+
Homework Help
Study Guides
Textbook Solutions
Class Notes
Textbook Notes
Booster Class
30 Verified Answers

Related Documents

AFF 502
Final Exam
Study Guide
AFF 502 Study Guide - Midterm Guide: Deferral, Poaceae, Vestment
pinkweasel202
AFF 502 Chapter Notes - Chapter 14: Time Deposit, Asset Allocation, Reinvestment Risk
silverhedgehog450
AFF 502 Chapter Notes - Chapter 13: Mortgage Insurance, P.A. Semi, Direct Marketing
silverhedgehog450

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,)

It's due tommorow and need help with these following problems.

Please solve the following problems. Show all relevant time lines and calculations and make sure to highlight the final answer to the question. Where MS Excel is required, please either cut and paste the spreadsheet where it belongs or staple the printout directly from MS Excel. For spreadsheets that are too long to print, just include a sample printout of the first and last pages. Note that some questions require a written answer, not just a number.

Vanilla Ice Co. bonds pay an annual coupon rate of 10% and have 5 years to maturity. If investors' required rate of return is now 8% on these bonds…

Will the bonds be selling at a premium or a discount with respect to their $1000 face value? Why?

b. What is the price of the bonds?

Austin Power Co. bonds have a 14% annual coupon rate. Interest is paid semi-annually. The bonds have a par value of $1,000 and will mature 10 years from now. If the (annual) required rate of return is 12%, what is the price of the Austin Power bonds? [Hint: you need to convert your coupon rate, your number of periods, n, and your req. rate of ret. to a semi-annual basis.]

Consider a $1,000 par value bond with a 9 percent annual coupon that is currently selling for $943. The bond pays interest annually. There are 15 years remaining until maturity.

What is the size of the annual coupon payments?

What is the current yield on the bond?

A preferred share of Phillips, Co. is currently selling for $65.00 on the New York Stock Exchange. If this instrument pays a dividend of $5 a year, what is its yield?

Assume that you plan to buy a share of IBM stock today and to hold it for 2 years. Your expectations are that you’ll receive a dividend of 19.00 at the end of Year 1 and a dividend of $19.25 at the end of Year 2. In addition, you expect to sell the stock for $150 at the end of Year 2. If your expected rate of return is 11 percent, how much should you be willing to pay for this stock today?

A share of common stock has just paid a dividend of $2.00. If the expected long-run growth rate for this stock is 15 percent, and if investors require a 19 percent rate of return, what is the price of the stock?

What would be the interest earned on a $6,000 deposit during the second year of its life if no money is withdrawn from the bank during that time, and the deposit pays an annual interest rate of 2.5 percent, with annual compounding?

Using excel, build a monthly amortization table for a 30-year mortgage on a $350,000 home, no money down. Use 7% as the yearly interest on the loan.

Using the amortization table you built for Question 8, answer the following questions.

How much money will you still owe on the loan after making one full year of payments?

How much money will you still owe on the loan after making 10 full years of payments?

If you want to refinance after 15 years of making payments, how much financing would you need to secure from your bank to do so?

How much money can you expect to pay in interests alone during the 30 year life of the mortgage?

You plan to purchase a $100,000 house using a 30-year mortgage obtained from local credit union. The mortgage rate offered to you is 8.25%. You will make a down payment of 20% of the purchase price.

Calculate your monthly payments on this mortgage.

Calculate the amount of interest and, separately, principal paid in the 25th payment.

Calculate the amount of interest and, separately, principal paid in the 225th payment.

Calculate the amount of interest paid over the life of this mortgage.

You plan to purchase a house for $115,000 using a 30-year mortgage from your local bank. You will make a down payment of 20% of the purchase price.

Your bank offers you the following two options for payment:

Option 1: Mortgage rate of 9% and zero discount points.

Option 2: Mortgage rate of 8.85% and two discount points.

Which option would you choose?

Your bank offers you the following two options for payment:

Option 1: Mortgage rate of 10.25% and 1 discount point.

Option 2: Mortgage rate of 10% and 2.5 discount points.

Which option would you choose? [Hint: consider only the incremental costs and benefits of Option 2 with respect to Option 1]

You just got a promotion and you are now taking home $75,000 a year before taxes. You are thinking about upgrading your home and moving to a nicer neighborhood. You’ve been living for the past six years in a 1,300 square foot, 3 bed/2 bath home, currently valued at $137,000. Thanks to the strong capital appreciation of the past few years, you estimate that after liquidating the mortgage and covering realtor fees, you’ll be able to walk away with $40,000, which you intend to use as down payment on your new home. Your debt payments ratio is only 7% and your credit rating is 700, so qualifying for a loan won’t be a problem. The best bank rate you’ve found is 5.9% fixed for a 30 year mortgage.

Ignoring mortgage insurance premiums, homeowner’s insurance premiums, and property tax obligations, how much of a home could you afford?

Would your mortgage be considered conforming or non-conforming?

Do you think you’ll be required to obtain private mortgage insurance? Why?

Review this week’s Learning Resources. Reflect on concepts of time value of money, net present value, internal rate of return, and purchasing options. The Assignment: Use the “Week 10 Assignment Capital Budget Excel Template” to show your work, answer the following questions: 1. If a physician deposits $24,000 today into a mutual fund that is expected to grow at an annual rate of 8%, what will be the value of this investment: a. 3 years from now b. 6 years from now c. 9 years from now d. 12 years from now 2. The Chief Financial Officer of a hospital needs to determine the present value of $120,000 investment received at the end of year 5. What is the present value if the discount rate is: a. 3% b. 6% c. 9% d. 12% 3. The Kadrie’s dental group purchased a new diagnostic machine for their office for $1,200,000. The expected cash flows for each year of the five year period is $140,000, $175,000, $199,000, $218,000, and $245,000 for the five years. What is the internal rate of return or the IRR for the project? 4. Determine the Net Present Value for Problem 3 with an interest rate of 10%. Do you proceed or not with the project? 5. Determine the Payback Period for Problem 3.