Assume that the real interest rate is 7%. The Present Discounted Value (PDV) of a financial investment with a $5,000 payoff 3 years from today is $Blank 1.
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1. Assume that the real interest rate is 7%. The Present Discounted Value (PDV) of a financial investment with a $5,000 payoff 3 years from today is $Blank 1. (Do NOT enter the '$' in your answer; round your final answer to the closest cent. Do NOT round any calculation except for the final answer.)
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- Suppose that you are considering an investment, which would require you to pay $1,000 up front (today), and you would receive a payment of $100 per year, for 5 years, beginning one year from now. One year after your fifth payment, you would then have $800 paid to you as a final payment. Assume that the interest rate is equal to 5%. Round all answers to two decimal places. 5. Calculate the Present Value (PV) of the cost and each of the payments for the investment. Does this investment have a positive or negative present value? Should you make this investment? 6. How much would the initial cost ($1,000) need to change for you to be exactly indifferent about this investment? (i.e. you receive the same return for making this investment as you do for not making this investment?)Economics In 54 months time you expect a cash flow of $3 million. Calculate it’s present value (PV) given the 54-month interest rate is currently 4%, with a volatility of 120 basis points (bps). Explain, using equations with properly-defined mathematical notation, how to map this cash flow to vertices at 4 years and 5 years, in such a way that the volatility of the present value of the mapped cash flow remains at 120 bps. Suppose the 4-year rate has a volatility of 110 bps and the 5-year rate has a volatility of 150 bps, and their correlation is 0.9. How much should be mapped to each vertex. Give your answer in PV terms and round your answers to whole $ values.2. You purchase special equipment that reduces defects by $10,000 per year on an item. This item is sold on contract for the next five years. After the contract expires, the special equipment will save approximately $2,000 per year for five years. You assume that the machine has no market value at the end of ten years. How much can you afford to pay for this equipment now if you require a 20% annual return on your investment?
- The YTM on a bond is the interest rate you earn on your investment if interest rates don't change. If you actually sell the bond before it matures, your realized return is known as the holding period yield (HPY). (Round the final answers to 2 decimal places.) a. Suppose that today you buy an 9.2% annual coupon bond for $1,180. The bond has 19 years to maturity. What rate of return do you expect to earn on your investment? Expected rate of return % b-1. Two years from now, the YTM on your bond has declined by 1%, and you decide to sell. What price will your bond sell for? (Omit $ sign in your response.) Bond price $ b-2. What is the HPY on your investment? HPY %Problem 2 Suppose you purchased a house and took a 30 -year mortgage. The mortgage is unusual: you pay yearly, not monthly. The yearly payment is$17,000and the interest rate is4.2%. What is the amount of mortgage you took? (Round to two decimals.) Hint: find the PV of all the payments.J Assume that at the beginning of the year, you purchase an investment for $14,200 that pays $95 annual income. Also assume the investment's value has increased to $15,800 by the end of the year. a. What is the rate of return for this investment? Note: Input the amount as a positive value. Enter your answer as a percent rounded to 2 decimal places. Rate of return b. Is the rate of return a positive or a negative number? O Positive O Negative
- 1. A 3-year 10% coupon bond has $1000 face value. What is the duration of this bond? (Assume) this bond pays annual coupon and the bond yield is 8%). AltThe present value of a series of $5 at the end of every 5 years, forever, is equal to $20. i. Calculate the effective rate of interest. ii. What is the accumulated value of $9400 invested for 10 years after a 6% discount is paid at the beginning of the investment period? Please i need answer for only subpart ii7. All of the following problems involve interest that is being compounded continuously. (a) Compute the interest rate needed to double an investment every seven years. (b) With a 10% interest, how long will it take to triple an initial investment. (c) Irvin forgot what is the interest rate at his bank. All he knows is that after five years, his initial investment doubled. When will it triple? (Hint: There are two unknowns; one is the interest rate. Whenever there are two unknowns, two equations are needed. So, use the information about money at different times in an appropriate manner.) (d) A person has money withdrawn from his savings account to be placed in his checking account at a continuous fixed basis at a rate of $1,000 a year. This person started with $20,000 placed in the savings account that has a 5% interest. How much will be in the savings account in one year? (Hint: A different expression for the growth of money needs to be derived. So, start with AM and, instead of the…
- 31) Suppose in 2017 you buy two year $1,000 face-value 5% coupon bond for $1,000. In 2018, interest rates decrease to 2%. If you decide to sell your bond in 2018, what will be the selling price of your bond and one-year rate of return for you? A) $1,020; 7% B) $1,000; 2% C) $971; -2.1% D) $1,029.4; 7.9%2. A capital investment can be purchased for an immediate outlay of S100,000. The investment is expected to produce annual cash flows of s10.000 for the next 20 years beginning on the date of the cash outlay. How much wealth is created or destroyed by this investment at a required return of 10%?You can buy a property today for $3 million and sell it in 5 years for $4 million. (You earn no rental income on the property.) a. If the interest rate is 8%, what is the present value of the sales price? Note: Do not round intermediate calculations. Enter your answer in millions rounded to 3 decimal places.) b. Is the property investment attractive to you? c-1. What is the present value of the future cash flows if you also could earn $200,000 per-year rent on the property? The rent is paid at the end of each year. Note: Do not round intermediate calculations. Enter your answer in millions rounded to 3 decimal places. c-2. Is the property investment attractive to you now?
