Problem 8-42 Jason Scott has applied for a mortage to purchase a house, and he will go to settlement in two months.

His loan can be locked in now at the current market intereste rate of 7% and a cost of $1000. He also has the option of waiting one month and locking in the rate available at that time at a cost of $500. Finally, he can choose to accept the market rate available at settlement in two months at no cost. Assume that interest rates will either irease by 0.5% (0.3 probability), remain unchanged (0.5 probability), or decrease by 0.5% (0.2 probability) at the end one month.

rates can also increase, remain unchanged, or decreased by another 0.5%, at the end on the second month. If rates increase after one month, the probability that they will increase, remain unchanged, and decreased at the end of the second month is 0.5, 0.25, and 0.25, repsectively. If rates remain unchanged after one month, the proability that they will increase, remain unchangedm and decrease at the end of the second month is 0.25, 0.5, and 0.25 respetively. If rates decrease after one month, the probability that they will increase, remain unchanged, and decrease at the end of the second month is 0.25, 0.25, and 0.5, respectively.

Assuming that Jason will staty in the house for 5 years, each 0.5% increase in the interest rate of his mortage will cost him $2400. each 0.5% decrease in the rate will likewise save him $2400. What strategy would you recommend?

Problem 8-43 Jason Scott (see Problem 8-42) has decided to incorporate utility theory into his decision with his mortgage application. The following table describes Jasons utility function:

Monetary Value	Utility
-$4800	0.00
-$2900	0.10
-$2400	0.12
-$1000	0.15
-$500	0.19
$0	0.21
$1900	0.26
$2400	0.30
$4800	1.00

(a) How can you best describe Jasons attitude toward risk? Justify your answer.

(b) Will the use of utilities affect Jasons original decision in Problem 8-42?