P6–1 Interest rate fundamentals: The real rate of return Carl Foster, a trainee at an Investment banking firm, is trying to get an idea of what real rate of return investors Are expecting in today’s marketplace. He has looked up the rate paid on 3-month U.S. Treasury bills and found it to be 5.5%. He has decided to use the rate of change In the Consumer Price Index as a proxy for the inflationary expectations of Investors. That annualized rate now stands at 3%. On the basis of the information That Carl has collected, what estimate can he make of the real rate of return?
P6–2 Real rate of interest To estimate the real rate of interest, the economics division of Mountain Banks—a major bank holding company—has gathered the
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If the real rate of interest is currently 2.5%, find the nominal rate of interest on each of the following U.S. Treasury issues: 20-year bond, 3-month bill, 2-year note, and 5-year bond.
b. If the real rate of interest suddenly dropped to 2% without any change in inflationary expectations, what effect, if any, would this have on your answers in part a? Explain.
c. Using your findings in part a, draw a yield curve for U.S. Treasury securities.
Describe the general shape and expectations reflected by the curve.
d. What would a follower of the liquidity preference theory say about how the preferences of lenders and borrowers tend to affect the shape of the yield curve drawn in part c? Illustrate that effect by placing on your graph a dotted line that approximates the yield curve without the effect of liquidity preference.
e. What would a follower of the market segmentation theory say about the supply and demand for long-term loans versus the supply and demand for short-term loans given the yield curve constructed for part c of this problem?
P6–6 Nominal and real rates and yield curves A firm wishing to evaluate interest rate behavior has gathered
when it reached a low of A$1 = £0.4585 i.e., nearly 34% [(0.6980 – 0.4585) / 0.6980]
academic year interest rate of 3.76 percent would pay a 5,032 dollars interest over 10 years,
Short-term bank loans are available at an 8 percent interest rate. Cindy and Rob believe that the cost of obtaining long-term debt and equity capital will be somewhat higher. The real interest rate is estimated to be 2 percent, and a long-run inflation premium is estimated at 3 percent. The interest rate on
A 18. D Read the Diagram 1. E 2. C 3.
16. If the nominal interest rate on an account is 1% and the inflation rate is 2%, the real interest rate is:
(b) Coupon and principal of the Regular Treasury bonds are fixed, therefore if the inflation rate increases in the forecasting future, investor will receive the same amount of coupon and principal with less real value and purchasing power.
For problems 12 to 14, do the following: (a) Make a scatter diagram of the
d) What two assumptions are included in calculating the maximum change in the money supply
Forward rate = Spot rate x (1 + X interest rate) / (1 + Y interest rate)
EPS Growth Rate: These values are also found in exhibit 6, leading to g = 5.55%
In economics, interest is considered the price of money, therefore, it is also subject to distortions due to inflation. The nominal interest rate, which refers to the price before adjustment to inflation, is the one visible to the consumer (i.e., the interest tagged in a loan contract, credit card statement, etc). Nominal interest is composed by the real interest rate plus inflation, among other factors. A simple formula for the nominal interest is:
At an interest rate of 15% per year (3.75% for three months, the amount to borrow equals
b. Generate a graph or table showing how the bond’s present value changes for semi-annually compounded interest rates between 1% and 15%.
Lowering interest rates is an effective way to stimulate and improve the economy. When rates are lower, it is easier and more affordable to borrow money. This encourages spending and investment, both which help propel the economy forward.
4.15 On January 1, 1985, the annual inflation rates in the U.S. and France were expected to be 4% and 6%, respectively. If the current spot rate that day was $.1250, then the expected spot rate in two years was