Question

Calculate the yield to maturity (YTM) for a one-year bond with a purchase price of $8,000, a face value of $10,000, and a current yield of 10%. The yield to maturity is ____________

Answer 1

yield to maturity YTM = 35%

Step-by-step explanation:

given data

purchase price = $8,000

face value = $10,000

current yield = 10%

solution

we get here yield to maturity YTM

so first we get Annual Coupon by current yield that is express as

Current yield = annual coupon ÷ current price ..............1

put here value we get

Annual Coupon = 10 % × 8,000

Annual Coupon = $800

now we get YTM by purchase price that is

purchase price = Annual Coupon ÷ ( 1+YTM ) + face value ÷ ( 1+YTM ) .......2

put here value we get

8,000 =
`(800)/(1+YTM) +(10000)/(1+YTM)`

solve it we get

yield to maturity YTM = 35%