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# Bond Prices: BBB-rated corporate bonds and Treasury Bonds

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A BBB-rated corporate bond has a yield to maturity of 8.2%. A US Treasury security has a yield to maturity of 6.5%. These yields are quoted as APR's with semiannual compounding. Both bonds pay semiannual coupons at a rate of 7% and have five years to maturity.
a. What is the price (expressed as a percentage of the face value) of the Treasury bond?
b. What is the price (expressed as a percentage of the face value) of the BBB-rated corporate bond?
c. What is the credit spread on the BBB bonds?

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Bond Prices
A BBB-rated corporate bond has a yield to maturity of 8.2%. A US Treasury security has a yield to maturity of 6.5%. These yields are quoted as APR's with semiannual compounding. Both bonds pay semiannual coupons at a rate of 7% and have five ...

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This solution is comprised of a detailed explanation to answer what is the price (expressed as a percentage of the face value) of the Treasury bond.

\$2.19

## Concepts of FV, NPV, annuities, risk, bonds, US Treasuries

1. A new SUV costs \$33,000. You must pay 6% sales tax. You will put 10% of this total as a down payment.
For 60 months, you must borrow at an annual rate of 10%.
What annual rate would have the same payments stream at 48 months?
(Payments at 10% for 60 months = "X" % for 48 months).

2. A rare painting increases in value 3% each year.
You bought it for \$50,000 by financing \$40,000 at 6% for 30 years (use annual compounding).
What is the painting's value at the end of 5 years?

3. What is the total equity achieved in #2 above after 5 years? (Market value less loan amount)

4. Say a college education costs \$40,000 on average.
Say an uneducated person earns, on average, \$25,000 per year
Say an educated person earns, on average, \$48,000 per year.
What is the present value of the benefit of education, if you used an 8% rate and 40 years?

Cash 0 Accounts Payable

Accounts receivable Long-term Debt 60,000

Inventories Common Stock

Fixed Assets Retained Earnings 97,500

Total Assest 300,000 Total Liabilities and Equity

Sales Cost of Goods Sold

Debt ratio 50%
Current Ratio 1.8X
Total asset Turnover 1.5X
Days sales Outstanding 36.5 (Based on 365 day year)
Gross Profit [ (Sales -COGS)/ Sales ] 25%
Inventory Turnover 5X

5 What is annual sales figure?

6 What is the COGS?

7 How much cash does the company report?

8 What are the A/P?

Maturity Treasury Bond AA-rated BBB-rated
1 5.50% 6.70% 7.40%

5 6.10% 7.40% 8.10%

10 6.80% 8.20% 9.10%

20 7.40% 9.20% 10.20%

30 7.70% 9.80% 11.10%
(Note: a basis point is 1/100th of a percent; or 0.01%)

9 How many basis points are the riskiest bonds trading over treasuries in the 20 year spectrum?

10 How many basis points are gained by selling a 5-yr US Treasury and buying a 30-yr BBB?