NO.PZ202208260100000404
问题如下:
A client seeking advice on her fixed-income portfolio observes the price and yield-to-maturity of one-year (r1) and two-year (r2) annual coupon government benchmark bonds currently available in the market. Which of the following statements best describes how the analyst can determine a breakeven reinvestment rate in one year's time to help decide whether to invest now for one or two years?
选项:
A.
As the two-year rate involves intermediate cash
flows, divide the square root of (1 + r2 ) by (1 + r1) and subtract 1 to arrive at a breakeven reinvestment
rate for one year in one year's time.
B.
Since the first year's returns are compounded in
the second year, set (1 + r1 ) multiplied by 1 plus the breakeven reinvestment
rate equal to (1 + r2 )2 and
solve for the breakeven reinvestment rate.
C.
Since the breakeven reinvestment involves a
zero-coupon cash flow, first substitute the one-year rate r1 ) into the two-year bond price equation to solve for the
two-year spot or zero rate (z2 ), then set (1 + r1 ) × (1 + breakeven reinvestment rate) = (1 + z2 )2 and
solve for the breakeven reinvestment rate.
解释:
Solution
C is correct.
The one-year annual rate equals the one-year zero rate, as it involves a single cash flow at maturity (z1 = r1). Since the breakeven reinvestment rate involves a single cash flow at maturity, substitute the one-year rate (r1) into the two-year bond price equation to solve for z2, then set (1 + r1) × (1 + breakeven reinvestment rate) = (1 + z2)2 and solve for the breakeven reinvestment rate (IFR1,1).
中文解析:
本题考察的是计算Implied forward rates(IFR),也就是题干说的:观察到市场上现有的一年期(r1)和两年(r2)年期政府基准债券的价格和到期收益率,想确定一年内的盈亏平衡再投资率。
考察的公式为:
基于此公式,只有C选项描述正确。
这几个rate怎么区分?r1/r2/z2/breakeven point rate