2. Let i denote the nominal interest rate, r denote the real interest rate, and INF denote inflation. Consider the same values of i, r, high inflation, and low inflation as in problem 1 above. For TIPS and regular Treasury bond purchases, an individual has allocated $10,000 to invest. a) Solve for the all-TIPS bundle of real wealth. That is, if the individual invests all $10,000 in TIPS, what are the values of WINF and Wlow? b) Solve for the all-regular-Treasury bonds bundle of real wealth. That is, if the individual invests all $10,000 in regular Treasury bonds, what are the values of WINF and Wlow?

2. Let i denote the nominal interest rate, r denote the real interest rate, and INF denote inflation. Consider the same values of i, r, high inflation, and low inflation as in problem 1 above. For TIPS and regular Treasury bond purchases, an individual has allocated $10,000 to invest. a) Solve for the all-TIPS bundle of real wealth. That is, if the individual invests all $10,000 in TIPS, what are the values of WINF and Wlow? b) Solve for the all-regular-Treasury bonds bundle of real wealth. That is, if the individual invests all $10,000 in regular Treasury bonds, what are the values of WINF and Wlow?

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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You have a new job as a Financial Planning assistant. Your client wants to invest money in stocks, bonds, and treasuries that have the dividend yields shown in the table below. Your job is to allocate their money across these three investments such that the total dollars of stocks is at least $10,000 less than the total dollars in bonds plus treasuries. In addition, they have identified the maximum investment in each of those three investment types (also shown below). Maximize the dividends earned. Your answer will be the amount invested in Stocks (rounded to whole dollars). Use Scenario 3 Stocks: yield % Bonds: yield % Treasuries: yield % Stocks: $ max Bonds: $ max Treasuries: $ max Scenario 1 2.22 2.04 1.93 170,000 60,000 50,000 Scenario 2 1.71 1.98 1.88 400,000 180,000 200,000 Scenario 3. 1.14 3.03 2.08 410,000 300,000 75,000 Scenario 4 1.25 1.48 2.55 800,000 280,000 500,000
FOLLOW THE FORMULAS GIVEN ABOVEDOWNVOTE IF YOU DONT FOLLOW THE FORMULAS
SHOW COMPLETE SOLUTIONS. DRAW CASH FLOW DIAGRAMS.
Can you please answer this part c follow up question: c) Suppose the initial £90,000 is raised by borrowing at the risk-free interest rateinstead of issuing equity. What are the cash flows to equity and debt holders, andwhat is the initial value of the levered equity according to Modigliani and Miller’sPropositions? Is the company’s cost of equity the same as before? Overall, can thecompany raise the same amount of capital as before? Explain your reasoning.
3. A fund grows by the force of interest 8 (t) = k max (t, 1 t) for t > 0, and where k > 0. A deposit of 1000 is made at time t = 0.25, and a withdrawal of 500 is made at time t 0.75. At time t 1, the fund has a balance of 750. Find the amount of interest earned over the interval (0.25,0.50). This is the amount of interest earned in the second quarter.
Which of the following cash flows has the highest future value? A. $1000 invested for two years in the future when the interest rate is 4% ⚫B. $1000 invested for two years in the future when the interest rate is 6% • C . $1000 invested for three years in the future when the interest rate is 4% ⚫ D. $1000 invested for three years in the future when the interest rate is 6%
Solve the problem with complete solution. 8. You invested 20,000 in a financial institution for a trust fund in NAV of 65 per share. How many shares have you invested?
Consider two assets with the following cash flow streams: Asset A generates $4 at t=1, $3 at t=2, and $10 at t=3. Asset B generates $2 at t=1, $X at t=2, and $10 at t=3. Suppose X=6 and the interest rate r is constant. For r=0.1, calculate the present value of the two assets. Determine the set of all interest rates {r} such that asset A is more valuable than asset Draw the present value of the assets as a function of the interest rate. Suppose r=0.2. Find the value X such that the present value of asset B is 12. Suppose the (one-period) interest rates are variable and given as follows: r01=0.1,r12=0.2, r23=0.3. Calculate the yield to maturity of asset A. (You can use Excel or ascientific calculator to find the solution numerically.)
a. What is the NPV of investing today? The NPV is $428,235.29. (Round to the nearest dollar.) b. What is the NPV of waiting and investing tomorrow? The NPV if the rate goes up is $0. (Round to the nearest dollar.) The NPV if the rate goes down is $ 563,404.25. (Round to the nearest dollar.) The PV is $444,242. (Round to the nearest dollar.) c. Verify that the hurdle rate rule of thumb gives the correct time to invest in this case. The hurdle rule is $249,887.64. (Round to the nearest dollar.) (Select from the drop-down menu.) The NPV <0, so wait
Find the present values of the following cash flow streams. The appropriate interest rate is 9%. (Hint: It is fairly easy to work this problem dealing with the individual cash flows. However, if you have a financial calculator, read the section of the manual that describes how to enter cash flows such as the ones in this problem. This will take a little time, but the investment will pay huge dividends throughout the course. Note that, when working with the calculator's cash flow register, you must enter CF0 = 0. Note also that it is quite easy to work the problem with Excel, using procedures described in the Ch04 Tool Kit.xlsx.) Do not round intermediate calculations. Round your answers to the nearest cent. Year Cash Stream A Cash Stream B 1 $100 $200 2 400 400 3 400 400 4 400 400 5 200 100 Stream A: $ Stream B: $ What is the value of each cash flow stream at a 0% interest rate? Round your answers to the nearest dollar. Stream A $ Stream B $
4. Present value Finding a present value is the reverse of finding a future value. is the process of calculating the present value of a cash flow or a series of cash flows to be received in the future. Which of the following investments that pay will $10,500 in 13 years will have a lower price today? O The security that earns an interest rate of 21.75%. O The security that earns an interest rate of 14.50%. Eric wants to invest in government securities that promise to pay $1,000 at maturity. The opportunity cost (interest rate) of holding the security is 13.80%. Assuming that both investments have equal risk and Eric's investment time horizon is flexible, which of the following investment options will exhibit the lower price? O An investment that matures in three years An investment that matures in four years Which of the following is true about present value calculations? O Other things remaining equal, the present value of a future cash flow increases if the investment time period…
An investor has $80,000 to invest in a CD and a mutual fund. The CD yields 8% and the mutual fund yields 7%. The mutual fund requires a minimum investment of $9,000, and the investor requires that at least twice as much should be invested in CDs as in the mutual fund. How much should be invested in CDs and how much in the mutual fund to maximize the return? What is the maximum return? To maximize income, the investor should place $ in CDs and $ in the mutual fund. (Round to the nearest dollar as needed.)

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