Question

American Hat has $1,000 face value bonds outstanding with a market price of $1,150. The bonds pay interest semiannually, mature in 8 years, and have a yield to maturity of 5.8 percent. What is the current yield

Answer 1

Answer:

Current Yield of bond is 3.53%

Explanation:

Current yield is the ratio of coupon payment of a bond to its current market price.

Formula for Current yield is as follow

Current Yield = Annual Coupon payment / Current market price

First we need to calculate the coupon payment by using following formula

YTM = [ C + ( F - P ) / n ] / [ ( F + P ) / 2 ]

5.8%/2 = [ C + ( $1,000 - $1,150 ) / 16 ] / [ ( $1,000 + $1,150 ) / 2 ]

2.9% = [ C + ( $1,000 - $1,150 ) / 16 ] / [ ( $1,000 + $1,150 ) / 2 ]

2.9% = [ C - $9.375 ] / $1,075

1,075 x 2.9% = C - $9.375

31.175 = C - 9.375

C = 31.175 + 9.375 = $40.55 annually

Current Yield = Annual Coupon payment / Current market price

Current Yield = $40.55 / $1,150 = 0.0353 = 3.53%

Answer 2

Answer:

7.1%

Explanation:

The explanation is shown in the picture attached below