5. The zero-coupon interest rates with continuous compounding are currently 3% for all maturities. Consider the Hull and White model dr = (0 (t) - a r(t)) dt+ o dz, where z is a Brownian motion under the risk-neutral probability, a = 0,1, o=0,01 and 0 (t) is calibrated to the zero-coupon yield curve. a. What is the impact of an increase in & on the price of a receiver swaption if 0 (t) is calibrated again to the zero-coupon yield curve? It is assumed that the parameter "a" and the yield curve remain unchanged. b. What is the impact of an increase in parameter a on the price of a floor if 0 (t) is calibrated again to the zero-coupon yield curve? It is assumed that o and the yield curve remain unchanged. Justify intuitively your responses.