Question

A bond has a $1,000 par value, 20 years to maturity, and a 5 nnual coupon and sells for $860. What is its yield to maturity (ytm)? round your answer to two decimal places

Answer 1

Its annual compound yield to maturity (YTM)  is $881.00

An annual compound hobby is calculated by multiplying the initial main amount by one plus the once-a-year hobby fee raised to the wide variety of compound durations minus one. A hobby may be compounded on any given frequency agenda, from continuous to every day to annually.

"12% hobby" approach that the hobby fee is 12% in keeping with year, compounded annually. "12% interest annual compound monthly" manner that the hobby charge is 12% in line with the year (no longer 12% consistent with month), compounded month-to-month. Consequently, the hobby price is 1% (12% / 12) in line with the month.

A compound hobby is the addition of a hobby to the principal sum of a mortgage or deposit, or in other phrases, interest on essential plus interest.

First, find YTM

N = 20

I = YTM

PV = -860

PMT = 50

FV = 1000

YTM = 6.245%

The price after 5 years is nothing but the future value of the bond after 5 years

N = 5

I = YTM = 6.245

PV = -860

PMT = 50

FV = $881

So the answer is $881.00

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