Corporate Finance Plus MyLab Finance with Pearson eText -- Access Card Package (4th Edition) (Berk, DeMarzo & Harford, The Corporate Finance Series)
4th Edition
ISBN: 9780134408897
Author: Jonathan Berk, Peter DeMarzo
Publisher: PEARSON
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Chapter 25, Problem 2P
Suppose the risk-free interest rate is 5% APR with monthly compounding. If a $2 million MRI machine can be leased for seven years for $22,000 per month, what residual value must the lessor recover to break even in a perfect market with no risk?
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Assume a firm buys a new machine this year at a cost of $12,600 that will lead to savings of $6,600 after one year, $4,840 more after the second year and another $4,000 after the third year. Then the machine will become obsolete and no further savings will accrue. Is this a worthwhile investment if we assume that there is no inflation and that the market rate of interest remains at i = 10% over the three year period?
Do the following present value problems. You must set up all present value problems before calculation. Merely writing down the answer (even if it is correct) is an automatic zero. You must show your work.a. Suppose we have a four year fixed-payment loan with $900 payments made at the end of each year. Given a market interest rate of 7 percent, how much was initially borrowed?b. Suppose you were considering purchasing a $6300 machine today that would generate additionalnet profit of $2500 booked at the end of each year. Assuming you need a 10 percent annual return to justify the investment, would the investment be worth doing if you had only three years of payouts? Would your answer change if you only needed a 9 percent annual return on your
investment ? Why or why not? You must use present value to demonstrate your answer, and show your work.c. Consider two zero coupon bonds in which you receive $100 at the maturity date, one maturing in 3 years and one maturing in 5 years.…
Let the current asset price be 100 dollars and atter time T, the price either goes up to 110 dollars or down to 91 dollars. Suppose the risk-free interest rare is 0.1. Assume a risk-neutral world setting. Calculate the probability of up movement for T = 0.5 years.
Chapter 25 Solutions
Corporate Finance Plus MyLab Finance with Pearson eText -- Access Card Package (4th Edition) (Berk, DeMarzo & Harford, The Corporate Finance Series)
Ch. 25.1 - In a perfect capital market, how is the amount of...Ch. 25.1 - Prob. 2CCCh. 25.2 - Prob. 1CCCh. 25.2 - Is it possible for a lease to be treated as an...Ch. 25.3 - Why is it inappropriate to compare leasing to...Ch. 25.3 - Prob. 2CCCh. 25.3 - Prob. 3CCCh. 25.4 - Prob. 1CCCh. 25.4 - Prob. 2CCCh. 25 - Suppose an H1200 supercomputer has a cost of...
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- You are offered a four-year investment opportunity costing $450,000 today. The investment will pay $115,500 in the first year, $136,500 in the second year, $159,250 in the third year, and $180,250 in the fourth year,. Investments of comparable risk require a 14% rate of return in the financial market. Should you accept the investment opportunity and why? OA. No, because the investment's net present value is negative. OB. No, because the investment's net present value is zero. OC. Yes, because the investment's cash payments represent a total return of 31% on the $450,000 investment. OD. Yes, those cash payments look good to me because they add up to $591,500 which is more than the $450,000 investment. OE. Yes, because the investment's net present value is greater than zero.arrow_forwardYou currently have $50,000 in cash. You have access to a project which requires an initial investment of $50,000. One year from now this project will pay either $40,000 with a probability 50% or $100,000 with probability 50%. After this, there are no further cash flows. Assume risk neutrality and an annual discount rate of 10%. This is also the risk-free rate. (a) What is the NPV of this project? (b) Suppose you decide to finance this project with your own cash. How much money do you expect to have one year from now? (c) You have found investors who will fund the full cost of the project through equity. You will invest your cash at a risk-free rate. What is the share of equity they will ask for? How much money do you expect to have one year from now? (d) You have found investors who will give you a loan for the full cost of the project. You will invest your cash at a risk-free rate. Assume in case of default, these investors can claim all of the project's cash flows, but cannot claim…arrow_forwardIf a particular investment will pay $500, 5 months from now, and an additional $500, 9 months from now, what is the largest amount that an investor should be willing to invest today, assuming money earns a rate of return of 7%? Assume that the investment has no money left after the two withdrawals.arrow_forward
- An investment has a cost of $3500. The investment will have a payout of X at the end of the first year. This initial payout X will grow at the rate of 12% per year for the next 4 years, then by 7% per year for the next 4 years, and then at the rate of 3% per year for the following 3 years. You believe the riskiness of this investment is 9%. Calculate the smallest X that would entice you to invest.arrow_forwardProject A requires an investment of 1 million today and pays out 5 million in expectation next years. Project B requires an investment of $10 million today and pays out $ 20 million in expectation next year. Project B has high idiosyncratic risk and no systematic risk, while Project A is risk free. The two projects are mutually exclusive. Assume the risk free rate is if >0%, Given these assumptions. Project A has a higher NPV than Project B.arrow_forwardSuppose your firm is seeking a seven - year, amortizing $770,000 loan with annual payments, and your bank is offering you the choice between a loan of $817,000 with a compensating balance of $47,000 and a loan of $770,000 without a compensating balance. The interest rate on the $770,000 loan is 8.0 percent. How low would the interest rate on the loan with the compensating balance have to be for you to choose it?arrow_forward
- Suppose your firm is seeking a four year, amortizing $260,000 loan with annual payments and your bank is offering you the choice between a $268,000 loan with a $8,000 compensating balance and a $260,000 loan without a compensating balance. The interest rate on the $260,000 loan is 9.8 percent. How low would the interest rate on the loan with the compensating balance have to be for you to choose it? (Do not round intermediate calculations and round your final answer to 2 decimal places.) Interest rate %arrow_forwardA security that costs $89.90 will provide a return of 6.5 percent per year. If you want to keep the investment until it grows to a value of $143.8, how long will you have to keep it? (Hint: use log() function to solve for the number of years you have to keep it, and round the answer to the nearest whole number.)arrow_forwardA project has two possible outcomes. The good outcome returns $9,000 next year and occurs 59% of the time. The bad outcome is total failure, retuming $0 , the rest of the time. If the risk free interest rate is 3.2% , the expected market return is 12.6% , and the project beta is 1.1 , what is the price of the project today?arrow_forward
- Suppose Niles plans to invest $1,000. He can earn an effective annual rate of 6% on Security A, while Security B has an effective annual rate of 12%. The time taken to double the value of investment under Security B should be exactly half the time taken to double the value of investment under Security A. Group of answer choices True Falsearrow_forwardSuppose your firm is seeking a three-year, amortizing $400,000 loan with annual payments, and your bank is offering you the choice between a loan of $415,000 with a compensating balance of $15,000 and a loan of $400,000 without a compensating balance. The interest rate on the $400,000 loan is 9.5 percent. How low would the interest rate on the loan with the compensating balance have to be for you to choose it? (Do not round intermediate calculations. Round your final answer to 2 decimal places.) Interest rate 8.73 %arrow_forwardIf you are promised a nominal return of 16%, on a one-year investment, and you expect the rate of inflation to be 2%, what real rate do you expect to earn? Use the Fisher equation, NOT the approximation.arrow_forward
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