Luis won the lottery; however, the lottery company gave him the following two options to receive his prize money: Option (a): $8,000 in two months and $18,000 in eleven months. Option (b): $4,000 immediately and $24,000 in fourteen months. Assume that money earns 4.5% p.a. simple interest and use today as the focal date. a. What was the equivalent value of the payments under option (a) at the focal date? $0.00 Round to the nearest cent b. What was the equivalent value of the payments under option (b) at the focal date? $0.00 Round to the nearest cent c. Which option would be economically better for Luis and by how much? o a. Option (a) o b. Option (b) is better by $0.00 Round to the nearest cent

Luis won the lottery; however, the lottery company gave him the following two options to receive his prize money: Option (a): $8,000 in two months and $18,000 in eleven months. Option (b): $4,000 immediately and $24,000 in fourteen months. Assume that money earns 4.5% p.a. simple interest and use today as the focal date. a. What was the equivalent value of the payments under option (a) at the focal date? $0.00 Round to the nearest cent b. What was the equivalent value of the payments under option (b) at the focal date? $0.00 Round to the nearest cent c. Which option would be economically better for Luis and by how much? o a. Option (a) o b. Option (b) is better by $0.00 Round to the nearest cent

Essentials Of Investments

11th Edition

ISBN:9781260013924

Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Chapter1: Investments: Background And Issues

Section: Chapter Questions

Problem 1PS

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The problem describes a debt to be amortized. (Round your answers to the nearest cent.)A man buys a house for $330,000. He makes a $150,000 down payment and amortizes the rest of the purchase price with semiannual payments over the next 9 years. The interest rate on the debt is 10%, compounded semiannually. (a) Find the size of each payment.$ (b) Find the total amount paid for the purchase.$ (c) Find the total interest paid over the life of the loan.$
4) Retirement: You have just retired from your company after working for twenty years. Your company provides a retirement package and gives you the option of i) receiving $250,000 today, or ii) receiving $350,000 in five years (T=5). What option would you select if the interest rate is R=5%? What option would you select if the interest rate is R=10%? What interest rate would make the present value of both options equal? (Hint: use Excel’s Data-What If - Goal Seek to solve for the interest rate T).
Suppose that Dmitri just won the lottery and must choose between three award options: 1. A lump sum of $40,000,000 received today 2. 15 end-of-year payments of $5,000,000 3. 40 end-of-year payments of $3,600,000 Assume the interest rate is 8.00%, entered as 8 on your financial calculator. Note: Take the absolute value of the present value when answering this question. Using a financial calculator yields a present value for option 2 of approximately and a present value for option 3 of approximately (when the interest rate is 8.00%). Based on this, Dmitri should choose option if he seeks to maximize present value. Now assume the interest rate is 9.00%, entered as 9 on your financial calculator. Note: Take the absolute value of the present value when answering this question. Using the table you just filled out and a financial calculator, yields a present value for option 2 of approximately and a present value for option 3 of approximately v (when the interest rate is 9.00%). Based on…
You have a choice between receiving $550 now or $570 in six months' time. Current interest rates are 10% p.a. (simple interest). a) As a rational investor, which option would you choose, and why? b) Calculate the minimum interest rate p.a. that would reverse your choice above.
It is the end of 2023. You (foolishly) played the lottery and won the following cash flows, to be paid at the end of each year: Year 2024 2025 2026 2027 2028 Cash flow 1,100 1,600 1,800 2,000 2,200 The appropriate interest rate is 13%. What is the sum of present values?
am. 08.
Suppose a life insurance company sells a $250,000 one-year term life insurance policy to a 24-year-old female for $360. The probability that the female survives the year is 0.999477. Compute and interpret the expected value of this policy to the insurance company. The expected value is $ (Round to two decimal places as needed.) Which of the following interpretation of the expected value is correct? O A. The insurance company expects to make an average profit of $32.71 on every 24-year-old female it insures for 1 month. O B. The insurance company expects to make an average profit of $359.81 on every 24-year-old female it insures for 1 year. O C. The insurance company expects to make an average profit of $20.84 on every 24-year-old female it insures for 1 month. O D. The insurance company expects to make an average profit of $229.25 on every 24-year-old female it insures for 1 year.
You have an opportunity to buy a perpetuity that pays $400 a year forever starting a year from now for $1,500. What interest rate makes this a fair price? Instruction: Round to three decimal places. E.g., if your answer is 0.0106465 or 1.06465%, you should type ONLY the number .011, neither 0.0106465, 0.0106, nor 1.065. Otherwise, Blackboard will treat it as a wrong answer.
An accounting firm agrees to purchase a computer for $130,000 (cash on delivery) and the delivery date is in 270 days. How much do the owners need to deposit in an account paying 0.55%compounded quarterly so that they will have $130,000 in 270 days? (a) State the type. sinking fundamortization ordinary annuitypresent valuefuture value (b) Answer the question. (Round your answer to the nearest cent.)

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