Question

1. What is the current price of a $1000 par value bond if has 12.5 years until maturity, a YTM of 6.6%, and a coupon rate of 6% with semi-annual coupon payments?

2.The bonds of Lapeer Airlines, Inc., are currently trading on the market at $1,119.34. They have a par value of $1000, make semi-annual coupon payments with a coupon rate of 6.4%, and a YTM of 4.6%. How many years until these bonds mature?

3.You have decided to try to make a fortune by buying the bonds of distressed companies. You have found a C-rated bond that has a YTM of 29.6%, a coupon rate of 5.2% with semi-annual coupon payments, a par value of $1000, and 4.5 years remaining until maturity. What is the most you should be willing to pay for this bond?

4. True or False: A discount bond is one in which its YTM is lower than its Coupon Rate.

5. A bond has a par value of $1000, a coupon rate of 5%, 24.5 years remaining until maturity, and makes semi annual payments. You can currently buy the bond on the market for $1000. What is the bond's YTM?

• Less than 5%

• 5%

• More than 5%

• There is not enough information provided to determine the YTM.

Answer 1

Solution to the QUESTION-1

The Current Price of the Bond

· The Price of the Bond is the Present Value of the Coupon Payments plus the Present Value of the Face Value/Par Value.

· The Price of the Bond is normally calculated either by using EXCEL Functions or by using Financial Calculator.

· Here, the calculation of the Bond Price using financial calculator is as follows

Variables	Financial Calculator Keys	Figures
Par Value/Face Value of the Bond [$1,000]	FV	1,000
Coupon Amount [$1,000 x 6.00% x ½]	PMT	30
Market Interest Rate or Yield to maturity on the Bond [6.60% x ½]	1/Y	3.30
Maturity Period/Time to Maturity [12.50 Years x 2]	N	25
Bond Price	PV	?

Here, we need to set the above key variables into the financial calculator to find out the Price of the Bond. After entering the above keys in the financial calculator, we get the Price of the Bond (PV) = $949.46.

“Hence, the current price of the Bond will be $949.46”