9. During the first week of May 2008, the nominal interest rate on 30-year fixed-rate mortgage loans as reported by the Wall Street Journal was 6 percent per year. (a) Suppose that the inflation rate in the United States turns out to be 3 percent per year, on average, over the next 30 years. What will the real interest rate on these mortgage loans be in this case? (b) Suppose that, instead, US inflation turns out to be 5 percent per year, on average, over the next 30 years. What will the real interest rate on mortgage loans be in this case? (c) Who "wins," in the sense of being better off financially, if inflation turns out to be 5 percent instead of 3 percent: the households who take out new mortgage loans today at 6 percent, or the banks that make new mortgage loans today at 6 percent?

9. During the first week of May 2008, the nominal interest rate on 30-year fixed-rate mortgage loans as reported by the Wall Street Journal was 6 percent per year. (a) Suppose that the inflation rate in the United States turns out to be 3 percent per year, on average, over the next 30 years. What will the real interest rate on these mortgage loans be in this case? (b) Suppose that, instead, US inflation turns out to be 5 percent per year, on average, over the next 30 years. What will the real interest rate on mortgage loans be in this case? (c) Who "wins," in the sense of being better off financially, if inflation turns out to be 5 percent instead of 3 percent: the households who take out new mortgage loans today at 6 percent, or the banks that make new mortgage loans today at 6 percent?

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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For this question the inflation rates are actual inflation levels ( so a 6 month inflation rate increase of 3% increases par by 3%, not 1.5%.) You have a semiannual treasury inflation protected security, which is 1000 par and sells at par, with a 4% coupon rate. If the inflation rates are: 2% for the first 6 months and then 0.4% for the second, 1% for the third and 0% for the fourth 6 months, find: -the individual nominal payments made for each time period Report the total amount paid including par (all coupons and par, total dollar value) (do not use $ in the answer) Please use 4 decimal places in your response
2. Suppose US government one-year Treasury bill (zero-coupon bond) with face value at $100 and the bond trading market price is at $ 98 after six month of the issue date. What is the annual T-bill yield? (The yield rate is calculated compounding monthly).
Treasury bills are currently paying 9 percent and the inflation rate is 4.5 percent. What is the approximate real rate of interest?
In 2021, a standard 30-year fixed mortgage in the US could be had for somewhere around 3%. Following a series of interest rate increases by the Federal Reserve, that number is now above 7%. Suppose in 2021 you were interested in buying a house worth $521,000 by taking out a 30-year mortgage at 3% rate and 20% down payment. How much higher will your monthly mortgage payments be now for the same house at a 7% rate (same house price and percent down payment). Answer in whole dollars. Type your numeric answer and submit
Honesty Company is exploring to issue a financial instrument next year. They are researching for a reasonable interest rate to offer. The financial instrument is expected to cover for 180 days. Government Treasury Bills are being offered with the following rates: 30 day – 1.5%; 60 day – 2%; 90 day – 2%; 180 day – 2.50%; and 360 day – 3%. Inflation was reported at 1.2%. Honesty must be able to safeguard at least 3% of the risk for this issuance.What is the appropriate interest rate (round off your answer to two decimal places)?
A) It is now January. The current interest rate is 5% per annum annual compounding. The June future price for gold is $1846.30, while the December future rice is $1860.00. Find a strategy to explore the arbitrage opportunity. B) Suppose that the spot price of the euro is currently $1.5 USD. The one-year futures price is $1.55 USD. Is the interest rate higher in the United States or the euro zone? Justify your answer. C) OneAsx has just introduced a single-stock futures contract on Arandex stock, a company that currently pays no dividends. Each contract calls for delivery of 1,000 shares of stock in one year. The T-bill rate is 6% per year annually compounded and Arandex stock currently sells at $120 per share. If the Arandex price drops by 3%, what will be the change in the future price and the change in the investors’ margin account who has a long position in one contract?
Suppose that over the next year, one of three things could happen to a company's credit rating. It could remain investment grade, drop to non-investment grade or default. The value of a credit derivative that pays $100 in 1-year if the company's credit rating remain investment grade is $93. The value of a credit derivative that pays $200 in 1-year if the company's credit rating drops to non-investment grade is $7. The value of a credit derivative that pays $300 in 1-year if the company defaults is $6. Calculate the risk-free rate and the risk-neutral probability of default. (answers to 4 decimal places)
8
Note: For this question, the inflation rates are actual inflation levels (so a 6-month inflation rate increase of 3% increases par by 3%, not 1.5%.) You have a semiannual Treasury inflation-protected security, which is 1000 par and sells at par, with a 4% coupon rate. If the inflation rates are: 1% for the first 6 months and then 1.9% for the second, 0% for the third, and 1% for the fourth 6 months, find: -the individual nominal payments made for each time period Report the total amount paid including par (all coupons and par, total dollar value)
1. Present value is the value today of a future cash flow or series of cash flows. Discounting is the process of finding the present value of a cash flow or a series of cash flows; discounting is the reverse of compounding. Suppose a U.S. government bond promises to pay $2,249.73 three years from now. If the going interest rate on three-year government bonds is 4%, how much is the bond worth today? How would your answer change if the bond matured in 5 years rather than 3? What if the interest rate on the 5-year bond was 6% rather than 4%? How much would $1,000,000 due in 100 years be worth today if the discount rate was 5%? if the discount rate was 20%? 2. A dollar in hand today is worth more than a dollar to be received next year. Suppose you currently have $2,000 and plan to purchase a 3-year certificate of deposit (CD) that pays 4% interest compounded annually. How much will you have when the CD matures? How would your answer change if the interest rate were 5% or 6% or 20%?
Consider the following table for a seven-year period: Year 1 2 3 4 5 6 7 U.S. Treasury Bills 3.45% 3.30 4.20 4.62 2.42 1.30 1.03 Returns Average real return Inflation -1.15% -2.29 -1.19 0.61 -6.43 -9.35 -1.30 What was the average real return for Treasury bills for this time period? Note: Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16. %
Consider that the probability of a reference entity defaulting during a year conditional on no earlier defaults to be 2%; assume that defaults always happen halfway through a year; payments made on a CDS are made once a year, at the end of the year; assume the risk-free rate is 5% with continuous compounding and the recovery rate is 40%. We will value a new credit default swap. We are buying protection on an entity. CDS is 3-years. What is the required spread for a new issue? A. 103.63bps B. 98.32bps C. 132.53bps D. 124.49bps

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