1 Upward sloping yield curves Consider a myopic institutional investor that only cares about its wealth after one period. Let yu.T be the continuously compounded yield from time t to Maturity T Is yo.r known to the investor at time 0? In other words, can you calculate yo.r from the price of a zero-coupon bond with maturity T at time 0? 2. What about y.r? can you calculate yi,r from the price of zero-coupon bond with maturity T at time 0?1 The following questions may look a bit intimidating, but if you pay attention to the given assumptions, you will see that we are almost giving away the solution. The main point of this exercise is that you understand the relationship between risk aversion and the slope of the yield curve. We make two assumptions Assume that y.T is normally distributed at time 0. It is not expected to be different from yo., ie. E[J1,T-Yo,T for all T. and the variance is the same for all maturities. Volvrl 2 for all T > 1. Note that yi,T s the yield that the investor would observe at tine 1 for a zero-coupon bond that matures at time T. not the forward yield for a bond that is issued at time 1 and matures at T. 1 Upward sloping yield curves Consider a myopic institutional investor that only cares about its wealth after one period. Let yu.T be the continuously compounded yield from time t to Maturity T Is yo.r known to the investor at time 0? In other words, can you calculate yo.r from the price of a zero-coupon bond with maturity T at time 0? 2. What about y.r? can you calculate yi,r from the price of zero-coupon bond with maturity T at time 0?1 The following questions may look a bit intimidating, but if you pay attention to the given assumptions, you will see that we are almost giving away the solution. The main point of this exercise is that you understand the relationship between risk aversion and the slope of the yield curve. We make two assumptions Assume that y.T is normally distributed at time 0. It is not expected to be different from yo., ie. E[J1,T-Yo,T for all T. and the variance is the same for all maturities. Volvrl 2 for all T > 1. Note that yi,T s the yield that the investor would observe at tine 1 for a zero-coupon bond that matures at time T. not the forward yield for a bond that is issued at time 1 and matures at T