Question

You buy a seven-year bond that has a 5.25% current yield and a 5.25% coupon (paid annually). In one year, promised yields to maturity have risen to 6.25%. What is your holding-period return

Answer 1

Answer:

HPR = 0.371%

Explanation:

we must first determine the price of the bond in 1 year:

present value of face value = $1,000 / (1 + 6.25%)⁶ = $695.07

present value of coupon payments = $52.50 x 4.87894 (PV annuity factor, 6.25%, 6 periods) = $256.14

market price in 1 year = $951.21

since you bought the bond at face value (market value = YTM), the the holding period return is:

HPR = [(ending price - actual price) + dividends received] / actual price

HPR = [($951.21 - $1,000) + $52.50] / $1,000 = $3.71 / $1,000 = 0.371%