7. Draw a yield curve where the short-term interest rate is expected to remain constant in the near term, and then fall later on (use the liquidity preference theory).
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- 2. Suppose that real money demand is represented by the equation M"/P= 0.25×Y. Calculate the velocity of money. 3. Consider a five year $1000 semiannual coupon bond with a 5% coupon rate. If the bond is current trading for a price of $957.35, what is the bond's yield to maturity? If the bond's yield to maturity increase a little bit, what will the bond's price be? 4. Suppose a 7-year, $1,000 bond with an 8% coupon rate and semianmual coupons is trading with a yield to maturity of 6.75%. Is this bond currently trading at a discount, at par, or at a premium? Explain. If the yield to maturity of the bond rises to 7%, what price will the bond trade for? 5. Suppose that you want to take a loan and that your local bank wants to charge you an annual real interest rate equal to 3%. Assuming that the annualized expected rate of inflation over the life of the bond is 1%, determine the nominal interest rate that the bank will charge you. What happens if, over the life of the loan, actual…• Suppose that a person’s wealth is $50,000 and that her yearlyincome is $60,000. Also suppose that her money demand functionis given by Md = $Y10.35 - i2Derive the demand for bonds. Suppose the interest rate increases by 10 percentage points. What is the effect on her demand for bonds?What are the effects of an increase in income on her demand for money and her demand for bonds? Explain in words4. What is meant by Liquidity and its discuss its significance? *
- 3. Draw and label the bond market graph covered in chapter 5. Then, using the graph, illustrate how the equilibrium price, yield to maturity, and quantity changes as a result of:a. An increase in expected inflation. Explain the movement from one equilibrium to another.b. A decrease in riskiness of bonds. Explain the movement from one equilibrium to another.c. An increase in the profitability of business investment. Explain the movement from one equilibrium to another.Use a different graph for each one and clearly label the axis and the shifting of curves. Explain clearly (in words and on the graph) whether the price and yield to maturity increased or decreased.Mr. Pierpont has wealthof $200,000. He wants to keep at least $80,000 in bonds at all times, and will shift $10,000 into bonds from his checking account for each percentage point that the interest rate on bonds exceeds the interest rate on his checkingaccount. Currently, he keeps $100,000 in bonds, which pay him 7%. What is the current interest rate on checking accounts?A) 5%B) 7%D) 10%C) 9%7) Explain what is meant by the ‘Zero Lower Bound’ in relation to interest rates and suggest how it might be avoided.
- Explain how the following events will affect the demandfor money according to the portfolio theories of moneydemand:a. The economy experiences a business cycle contraction.b. Brokerage fees decline, making bond transactionscheaper.c. The stock market crashes. (Hint: Consider both theincrease in stock price volatility following a marketcrash and the decrease in wealth of stockholders.)1. f the current interest rate on a 1-year bond is 2.80% while market participants expect a 1-year interest rate of 1.30% next year, then the expectations theory predicts that the interest rate on a 2-year bond will be ___ %: 2. If the current 1-year interest rate is 3% and the current interest rate on a 2-year bond is 4%, what is the expected 1-year rate starting a year from today? 3. You observe that currently, a 1-year bond has an interest rate of 3.00% while a 2-year bond has an interest rate of 3.00%. This means that, according to the expectations theory (no liquidity premium), market participants expect the 1-year interest rate in one year from now to be ___%:Explain why money is worth more now than in the future, and howthe interest rate represents this relationship.
- 2. In year 1, the yield on 1-year T-bills is 1%, and on 10-year T-bond is 5%. In year 2, 1-year yield becomes 1.5%, and 10-year yield becomes 8.5%. 1. In year 2, does the market expect future short-term interest rate to rise or fall, compared with year 1? Why? Explain carefully. 2. Has the probability of a recession risen or decreased?IV. Compute the two-year nominal interest rate using the exact formula and the approximation formula for each set of assumptions listed in (a) through (c). a. i = 2%; if+1 = 3% b. i = 2%; i+1 = 10% c. i = 2%; i+1= 3%. The term premium on a two-year bond is 1%. %3DA. Assume the interest rate in the bank is 6%. Should Apple Incorporated spend $10,000,000 to build a Research and Development facility that will yield $20 million in ten years? B. You will need $100,000 in seven years to buy a new car. How much money do you need to deposit in the bank now in order to have $100,000 seven years from now if the interest rate is 7%?