Week 3 Time Value of Money and Valuing Bonds
Chapter 6
55. Amortization with Equal Payments Prepare an amortization schedule for a five-year loan of $36,000. The interest rate is 9 percent per year, and the loan calls for equal annual payments. How much interest is paid in the third year?
Answer: $2,108.52
56. Amortization with Equal Principal Payments Rework Problem 55 assuming that the loan agreement calls for a principal reduction of $7,200 every year instead of equal annual payments.
Answer: $1,944.00
57. Calculating Annuity Values Bilbo Baggins wants to save money to meet three objectives. First, he would like to be able to retire 30 years from now with retirement income of $20,000 per month for 20 years, with the first payment
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The mortgage has an 8.5 percent APR, and it calls for monthly payments over the next 30 years. However, the loan has an eight-year balloon payment, meaning that the loan must be paid off then. How big will the balloon payment be?
Answer: $412,701.01
71. Break-Even Investment Returns Your financial planner offers you two different investment plans. Plan X is a $15,000 annual perpetuity. Plan Y is a 10-year, $20,000 annual annuity. Both plans will make their first payment one year from today. At what discount rate would you be indifferent between these two plans?
Answer: 14.87%
72. Perpetual Cash Flows What is the value of an investment that pays $7,500 every other year forever, if the first payment occurs one year from today and the discount rate is 11 percent compounded daily?
Answer: $34,027.40
74. Calculating Growing Annuities You have 30 years left until retirement and want to retire with $1 million. Your salary is paid annually, and you will receive $55,000 at the end of the current year. Your salary will increase at 3 percent per year, and you can earn a 10 percent return on the money you invest. If you save a constant percentage of your salary, what percentage of your salary must you save each year?
Answer: 8.47%
Chapter 7
17. Interest Rate Risk Bond J is a 4 percent coupon bond. Bond K is a 12 percent coupon bond. Both bonds have eight years to maturity, make semiannual payments, and have a YTM of 7 percent. If interest rates
academic year interest rate of 3.76 percent would pay a 5,032 dollars interest over 10 years,
For option 2 I calculated the savings I receive from reduced payment. For that I used difference between the mortgage payments as annuity payment for 180 months for Question A and for 60 months for Question B
Poor Dog, Inc. borrowed $135,000 from the bank today. They must repay this money over the next six years by making monthly payments of $2,215.10. What is the interest rate on the loan? Express your answer with annual compounding.
| |finance the balance. How much will each monthly loan payment be if they can borrow the necessary funds for 30 years at 9% per |
14. How close does the terminal value in part 2 get to the present value using the growing annuity formula in part 3?
d. If you can earn 9% per year, how much will you have to save each year if you want to retire in 40 years with $3 million?
What annual interest rate is needed to produce $200,000 after five years if only $100,000 is invested?
21. Earl Miller plans to buy a boat for $19,500 with an interest charge of $2,500. Earl figures he can afford a monthly payment of $650. If Earl has to pay 36 equal monthly payments, by how much can he afford the boat per month?
1) Establish the principal and interest amount of the monthly payment. Using the 30 year loan principal and interest amount of the payment is $1,150.92
10. An investment of $1,000 today will grow to $1,100 in one year. What is the continuously compounded rate of return?
for the next three years and 3% per year thereafter. Calculate the value of EverGrow
A $20,000, 90-day, 8% note payable was issued on November 1, 2015. Using a 360-day year, what is the amount of accrued interest on December 31, 2015?
Let us start off by calculating the interest earned over the four years of the mortgage:
a. How much would the payment be if rate of interest is 5% and you only financed the truck for 48 months?
Assume that the annual payments in the sixth year is equal to the rental payment in the fifth year ( 112.9 and 86.0) and the remainder of the lump sum values (54.6 and 17.8) is due in the seventh year. With a discount rate of 5.4%, the present values of the rental payments for the years 2006 and 2007 are as follows: