Finance CH 5

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Macomb Community College *

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1

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Finance

Date

Feb 20, 2024

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pdf

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4

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Rate 0.1 Time 20 PMT -500 Future Value $28,637 Rate 0.06 Time 5 Loan -7,000 Annual Payment $1,662 Rate 0.05 Time 10 PMT -500 Present Value $3,861 Year Cash Flow 1 1,110 $ 2 970 $ 3 1,500 $ 4 1,860 $ Year Cash Flow Present Value 1 1,110 $ $1,009.09 2 970 $ $801.65 3 1,500 $ $1,126.97 4 1,860 $ $1,270.41 Total Present Value $4,208.12 b) What is the present value at 18 percent? Year Cash Flow Present Value 1 1,110 $ $940.68 2 970 $ $696.64 3 1,500 $ $912.95 4 1,860 $ $959.37 Total Present Value $3,509.63 c) What is the present value at 24 percent? Year Cash Flow Present Value 1 1,110 $ $895.16 2 970 $ $630.85 3 1,500 $ $786.73 4 1,860 $ $786.73 Total Present Value $3,099.48 Question 3 Question 6 Question 9 Mendez Company has identified an investment project with the following cash flows. Question 10 a) If the discount rate is 10 percent, what is the present value of these cash flows?
For each of the following annuities, calculate the present value. Present Value Annuity Payment Years Interest Rate $11,856.44 2,200 7 7% $9,114.27 1,340 9 6% $121,002.98 12,080 21 8% $291,863.22 31,150 29 10% a) How much money will you have in the account in 16 years? Rate 0.1025 Time 16 PMT (5,300) $ Future Value $194,675.02 b) How much will you have if you make deposits for 32 years? Rate 0.1025 Time 32 PMT (5,300) $ Future Value $1,122,290.11 Investment 41,000 $ Rate 0.066 Present value today $621,212.12 a) How much will you have in the account in 3 years? Rate 0.072 Time 3 PMT (6,900) $ Future Value $8,563.42 b) How much will you have in the account in 6 years? Rate 0.072 Time 6 PMT (6,900) $ Future Value $10,627.86 c) How much will you have in the account in 12 years? Rate 0.072 Time 12 PMT (6,900) $ Future Value $16,369.77 Question 16 Spartan Credit Bank is offering 7.2 percent compounded daily on its savings accounts. Assume that you deposit $6,900 today. Note: Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16. Use 365 days in a year. Question 11 Question 12 Assume you deposit $5,300 at the end of each year into an account paying 10.25 percent interest. Question 14 The Maybe Pay Life Insurance Company is trying to sell you an investment policy that will pay you and your heirs $41,000 per year forever. Assume the required return on this investment is 6.6 percent. How much will you pay for the policy?
a) What will your monthly payments be? Rate 8.00% Montly interest rate 0.67% Time 48 Loan (75,600) $ Monthly payment $1,845.62 b) What is the effective annual rate on this loan? Montly interest rate 8.00% Time 48 Effective annual rate 8.32% Rate 11.20% Time 32 PMT (575) $ Future Value $2,120,739.09 a) If you take the first option, $8,200 per month for two years, what is the present value? Rate 6.00% Number of years 2 Compounding periods per year 12 PMT (8,200) $ Present Value $185,015.50 b) What is the present value of the second option? Rate 6.00% Number of years 2 Compounding periods per year 12 PMT (6,900) $ Present Value $155,683.78 Bonus $37,000.00 Overall value $192,683.78 Rate 8.00% Number of years 17 PMT (13,700) $ Present Value $124,966.44 Number of months 72 Compounding periods per year 12 Loan 60,000 $ PMT (1,100) $ Monthly interest rate 0.80% Annual APR 9.62% Question 17 You want to buy a new sports coupe for $75,600, and the finance office at the dealership has quoted you a loan with an APR of 8 percent for 48 months to buy the car. Question 19 You are to make monthly deposits of $575 into a retirement account that pays an APR of 11.2 percent compounded monthly. If your first deposit will be made one month from now, how large will your retirement account be in 32 years? You want to borrow $60,000 from your local bank to buy a new sailboat. You can afford to make monthly payments of $1,100, but no more. Assuming monthly compounding, what is the highest rate you can afford on a 72-month APR loan? Question 21 You’ve just joined the investment banking firm of Dewey, Cheatum, and Howe. They’ve offered you two different salary arrangements. You can have $8,200 per month for the next two years, or you can have $6,900 per month for the next two years, along with a $37,000 signing bonus today. Assume the interest rate is 6 percent compounded monthly. Question 22 Peter Lynchpin wants to sell you an investment contract that pays equal $13,700 amounts at the end of each of the next 17 years. If you require an effective annual return of 8 percent on this investment, how much will you pay for the contract today? Question 23
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Year Beginning Balance Total Payment Interest Payment Principal Payment Ending Balance 1 114,000.00 $ $46,650.29 12,540.00 $ $34,110.29 79,889.71 $ 2 79,889.71 $ $46,650.29 8,787.87 $ $37,862.42 42,027.29 $ 3 42,027.29 $ $46,650.29 4,623.00 $ $42,027.29 - $ Total Interest 25,950.87 $ Question 24 Prepare an amortization schedule for a three-year loan of $114,000. The interest rate is 11 percent per year, and the loan calls for equal annual payments. How much total interest is paid over the life of the loan?