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# long-term market interest rate

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O'Meara Inc plans to issue 6 million of perpetual bonds. The face value of each bond is \$1,000. The semi-annual coupon on the bonds is 4.5%.
Market interest rates on one-year bonds are 8%.
With equal probability, the long-term market interest rate will be either 12% or 6% next year. Assume investors are risk-nuetral.
a) IF the O'Meara bonds are noncallable, what is the price of the bonds?
b) If the bonds are callable one year from today at \$1,250, will their price be greater than or less than the price you computed in (a)? WHY?

https://brainmass.com/economics/bonds/long-term-market-interest-rate-85713

#### Solution Summary

Estimate long-term market interest rate in this posting.

\$2.19

## Value of outstanding bonds and rates of returns

1 "The values of outstanding bonds change whenever the going rate of interest changes. In general, short-term interest rates are more volatile than long-term interest rates. Therefore, short-term bond prices are more sensitive to interest rate changes than are long-term bond prices." Is this statement true or false? Explain.

2. The rate of return you would get if you bought a bond and held it to its maturity date is called the bond's yield to maturity. If interest rates in the economy rise after a bond has been issued, what will happen to the bond's price and to its YTM? Does the length of time to maturity affect the extent to which a given change in interest rates will affect the bond's price?

3. Two inventors are evaluating General Motors' stock for possible purchase. They agree on the expected value of D1 and also on the expected future dividend growth rate. Further, they agree on the risk of the stock. However, one investor normally holds stock for 2 years, while the other normally holds stock for 10 years. Should they should both be willing to pay the same price for General Motors' stock. True or false? Explain.

4. A bond that pays interest forever and has no maturity date is a perpetual bond. In what respect is a perpetual bond similar to a no-growth common sock, and to a share of preferred stock?

5. Describe the effect on a call option's price caused by an increase in each of the following factors: (1) stock price, (2) strike price, (3) time to expiration, (4) risk-free rate, and (5) variance of stock return.

6. What is a financial option? What is the single most important characteristic of an option?

7. Consider Triple Trice's call option with a \$25.00 strike price. The following table contains historical values for this option at different stock prices:

Stock price Call Option Price
\$25 \$3.00
\$30 \$7.50
\$35 \$12.00
\$40 \$16.50
\$45 \$21.00
\$50 \$25.00

(1) Create a table that shows (a) stock price, (b) strike price, (c) exercise value, (d) option price, and (e) the time value, which is the option's price less its exercise value.

(2) What happens to the time value as the stock price rises? Why?

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