Question
1. Today is January 1. The interest rate is 8% and investors are convinced that it will stay at 8% for the next 10 years.
1. Today is January 1. The interest rate is 8% and investors are convinced that it will stay at 8% for the next 10 years. A corporate bond comes on the market that for the next 7 years will pay $160 on December 31 to whoever owns the bond on that date. On January 1, 7 years from today, the issuer of the bond will redeem the bond by buying it back from the bondholder for $2,000. What should this bond sell for? (D)
a. | $3,120 |
b. | $2,160 |
c. | $1,600 |
d. | $2,000 |
e. | $2,780 |
2. The interest rate will be 10% for one more year, but a year from now, it will fall to 5% and stay at 5% forever. What is the market value of an investment that is sure to pay $220 a year forever, starting two years from today? (A)
a. | $4,000 |
b. | $4,400 |
c. | $2,000 |
d. | $2,200 |
e. | $5,000 |
3. A certain wine costs $3 a bottle to produce. It improves in taste if stored properly for a period of time. When it is newly bottled, people are willing to pay only $2 a bottle to drink it. But the amount that people are willing to pay to drink a bottle of this wine will rise by $3 a year for the next 50 years. Storage costs, not including interest, are $.50 per year. If the interest rate is 5% and the wine is kept by rational investors, how old will it be when it is drunk and what will be its price at that time? (B)
a. | 50 years old and $152 |
b. | 16 years old and $50 |
c. | 50 years old and $153 |
d. | 20 years old and $63 |
e. | 4 years old and $14 |
4. You buy a painting for $1,280. Its market value will rise by $80 per year for the next 30 years. It is worth $80 a year to you to have it hanging on the wall. The interest rate is 10%. In how many years will you sell it? (D)
a. | 30 |
b. | Immediately |
c. | 8 |
d. | 4 |
e. | 5 |
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