Assume that at the beginning of the year, you purchase an investment for $5,480 that pays $138 annual income. Also assume the investment’s value has decreased to $5,080 by the end of the year. What is the rate of return for this investment?
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Assume that at the beginning of the year, you purchase an investment for $5,480 that pays $138 annual income. Also assume the investment’s value has decreased to $5,080 by the end of the year.
What is the
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- A martingale betting strategy works as follows. You begin with a certain amount of money and repeatedly play a game in which you have a 40% chance of winning any bet. In the first game, you bet 1. From then on, every time you win a bet, you bet 1 the next time. Each time you lose, you double your previous bet. Currently you have 63. Assuming you have unlimited credit, so that you can bet more money than you have, use simulation to estimate the profit or loss you will have after playing the game 50 times.It is January 1 of year 0, and Merck is trying to determine whether to continue development of a new drug. The following information is relevant. You can assume that all cash flows occur at the ends of the respective years. Clinical trials (the trials where the drug is tested on humans) are equally likely to be completed in year 1 or 2. There is an 80% chance that clinical trials will succeed. If these trials fail, the FDA will not allow the drug to be marketed. The cost of clinical trials is assumed to follow a triangular distribution with best case 100 million, most likely case 150 million, and worst case 250 million. Clinical trial costs are incurred at the end of the year clinical trials are completed. If clinical trials succeed, the drug will be sold for five years, earning a profit of 6 per unit sold. If clinical trials succeed, a plant will be built during the same year trials are completed. The cost of the plant is assumed to follow a triangular distribution with best case 1 billion, most likely case 1.5 billion, and worst case 2.5 billion. The plant cost will be depreciated on a straight-line basis during the five years of sales. Sales begin the year after successful clinical trials. Of course, if the clinical trials fail, there are no sales. During the first year of sales, Merck believe sales will be between 100 million and 200 million units. Sales of 140 million units are assumed to be three times as likely as sales of 120 million units, and sales of 160 million units are assumed to be twice as likely as sales of 120 million units. Merck assumes that for years 2 to 5 that the drug is on the market, the growth rate will be the same each year. The annual growth in sales will be between 5% and 15%. There is a 25% chance that the annual growth will be 7% or less, a 50% chance that it will be 9% or less, and a 75% chance that it will be 12% or less. Cash flows are discounted 15% per year, and the tax rate is 40%. Use simulation to model Mercks situation. Based on the simulation output, would you recommend that Merck continue developing? Explain your reasoning. What are the three key drivers of the projects NPV? (Hint: The way the uncertainty about the first year sales is stated suggests using the General distribution, implemented with the RISKGENERAL function. Similarly, the way the uncertainty about the annual growth rate is stated suggests using the Cumul distribution, implemented with the RISKCUMUL function. Look these functions up in @RISKs online help.)Consider two equity market investors. The first investor is a hedge fund manager that relies on very active trading, and borrows from investment banks in order to leverage their investment. Their remuneration depends on total base fee earned by their fund as a percentage of net assets under management, plus a yearly bonus based on returns generated above a hurdle rate. The second investor is a high net-worth individual who is investing for their own retirement, which they anticipate to occur in 10 years or more. Identify three dimensions of risk that are likely to have significantly different impact on thesetwo investors. Explain the nature of the difference. Suggest aspects that each investor might monitor in order to control the risks most relevant to them.
- An annuity pays $25,000 semiannually (every 6 months) for 12 years. An alternative investment’s APR is 10% with quarterly compounding. What is the value of this annuity?A 75% leased apartment building that you recently acquired in Las Vegas, Nevada had an estimated annual NOI of $180,000. After you complete some needed renovations and improvements, you believe you can increase the occupancy to 95% while achieving higher rents and reduced operating costs, and you believe the renovated building will sell at a lower cap rate. If you can increase the NOI by 50% and reduce the sale cap rate by 25%, you will increase the sale price of the property by: a. 75% b. 25% c. 50% d. 100%You have deposited $10,800 into an account that will earn an interest rate of 8% compounded semiannually. How much will you have in this account at the end of 10 years? $16,564.89 $27,213.75 $23,664.13 $28,396.96
- If a $900,000 30-year fully amortizing fixed rate mortgage loan from City National Bank has an annual interest rate of 6.25% with a monthly payment of $5,541.45, and a $900,000 15-year fully amortizing fixed rate mortgage loan from Wells Fargo Bank has an annual interest rate of 5.25% with a monthly payment of $7,234.90, a borrower should: a. Choose the 30-year fixed rate loan from City National Bank because of the lower monthly payments b. Make a careful analysis of all the terms and conditions of the available loans to determine which loan is better for that borrower under the circumstances, or if another loan or lender should be considered c. Choose a 7-year adjustable rate interest-only loan from PNC Bank instead with a low teaser interest rate of 1.0% for the first loan year d.Choose the 15-year fixed rate loan from Wells Fargo because of the lower interest rateYou deposit $6,000 in an account earning 2% interest compounded monthly. How much will you have in the account in 10 years?Calculate the present value of a $1,000 zero-coupon bond with six years to maturity if the yield to maturity is 7%.
- Your answer is partially correct. An independent contractor for a transportation company needs to determine whether she should upgrade the vehicle she currently owns or trade her vehicle in to lease a new vehicle. If she keeps her vehicle, she will need to invest in immediate upgrades that cost $5,200 and it will cost $1,300 per year to operate at the end of year that follows. She will keep the vehicle for 5 years; at the end of this period, the upgraded vehicle will have a salvage value of $3,800. Alternatively, she could trade in her vehicle to lease a new vehicle. She estimates that her current vehicle has a trade-in value of $9,800 and that there will be $4,100 due at lease signing. She further estimates that it will cost $2,900 per year to lease and operate the vehicle. The independent contractor's MARR is 11%. Compute the EUAC of both the upgrade and lease alternatives using the insider perspective. Click here to access the TVM Factor Table Calculator. 1943.56 EUAC(keep): $…You deposit $4000 each year into an account earning 5% interest compounded annually. How much will you have in the account in 25 years?Suppose you are 45 and have a $410,000 face amount, 15-year, limited-payment, participating policy (dividends will be used to build up the cash value of the policy). Your annual premium is $1,435. The cash value of the policy is expected to be $16,400 in 15 years. Using time value of money and assuming you could invest your money elsewhere for a 7 percent annual yield, calculate the net cost of insurance. Use (Exhibit 1-A, Exhibit 1-B, Exhibit 1-C, Exhibit 1-D)