Suppose the current term structure of interest rates, assuming annual compounding, is as follows: s_1s 1 s_2s 2 s_3s 3 s_4s 4 s_5s 5 s_6s 6 7.0% 7.3% 7.7% 8.1% 8.4% 8.8% What is the discount rate d(0,4)d(0,4)? (Recall that interest rates are always quoted on an annual basis unless stated otherwise.) Please submit your answer rounded to three decimal places. So for example, if your answer is 0.45670.4567 then you should submit an answer of 0.4570.457.

The management of a supermarket wants to adopt a new promotional policy of giving a free gift to every customer who spends > a certain amount per visit at this supermarket. the expectation of the management is that after this promotional policy is advertised, the expenditures for all customers at this supermarket will be normally distributed with a mean of $95 and a standard deviation of $20. if the management wants to give free gifts to at most 10% of the customers, what should the amount be above which a customer would receive a free gift?