Orlando Regidor has applied for a mortgage to purchase a house and will go to settlement in two months. His loan can be “locked-in” at the current market interest rate of 8.5% at a cost of PhP10,000. He also has the option of waiting one month and locking-in at the current rate at that time at a cost of PhP5,000. Finally, he can choose to accept the current market rate at settlement in two months at no cost. Assume interest rates will either increase by 0.5% (30% probability), remain unchanged (50% probability), or decrease by 0.5% (20% probability) at the end one month. Rates can also increase, remain unchanged, or decrease 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 decrease at the end of the second month is 50%, 25%, and 25% respectively. If rates remain unchanged after one month, the probability that they will increase, remain unchanged, and decrease at the end of the second month is 25%, 50%, and 25% respectively. If rates decrease after one month, the probability that they will increase, remain unchanged, and decrease at the end of the second month is 25%, 25%, and 50% respectively.   Assuming Orlando Regidor will stay in the house for 5 years, each 0.5% increase in the interest rate of his mortgage will cost him PhP24,000. Each 0.5% decrease in the rate will likewise save him PhP25,000.   a) Construct the decision tree diagram. b) What strategy would you recommend to Orlando Regidor?

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Orlando Regidor has applied for a mortgage to purchase a house and will go to settlement in two months. His loan can be “locked-in” at the current market interest rate of 8.5% at a cost of PhP10,000. He also has the option of waiting one month and locking-in at the current rate at that time at a cost of PhP5,000. Finally, he can choose to accept the current market rate at settlement in two months at no cost. Assume interest rates will either increase by 0.5% (30% probability), remain unchanged (50% probability), or decrease by 0.5% (20% probability) at the end one month. Rates can also increase, remain unchanged, or decrease 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 decrease at the end of the second month is 50%, 25%, and 25% respectively. If rates remain unchanged after one month, the probability that they will increase, remain unchanged, and decrease at the end of the second month is 25%, 50%, and 25% respectively. If rates decrease after one month, the probability that they will increase, remain unchanged, and decrease at the end of the second month is 25%, 25%, and 50% respectively.

 

Assuming Orlando Regidor will stay in the house for 5 years, each 0.5% increase in the interest rate of his mortgage will cost him PhP24,000. Each 0.5% decrease in the rate will likewise save him PhP25,000.

 

a) Construct the decision tree diagram.

b) What strategy would you recommend to Orlando Regidor?

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