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If the estimated cost of the kitchen project is $10,000, if the remodeled kitche

ID: 334264 • Letter: I

Question

If the estimated cost of the kitchen project is $10,000, if the remodeled kitchen adds $12K in a good market and $11K in a moderate market to the future selling price, and with the chance of having a good market in the future being 0.4, did the Nathans make the right decision? Decide whether the new addition project is a good project using the data below Month 0 Month 1 Month 2 Month 3Month 4 $1,500 $2,500 $3,000 $2,500 $1,500 $1,000 $900 $1,000 $1,000 $800 Benefits as Social Venue Benefits of Satisfaction $800 Benefits of Having Good Time $- $1,000 Cost of Project $14,000 $500 Cost of Furniture $1,000 - Cost of Socialization $150 $200 $300 $200

Explanation / Answer

Month 0

Month 1

Month 2

Month 3

Month 4

Benefits as Social Venue

$

$1500

$2500

$3000

$2500

Benefits of Satisfaction

$

$1500

$1000

$900

$800

Benefits of having a good time

$

$1000

$1000

$800

$1000

Cost of Project

$14,000

$500

$

$

$

Cost of Furniture

$

$1000

$

$

$

Cost of Socialization

$150

$200

$300

$200

Expected payoff before the project= p* Expected payoff in good market+ (1-p)* Expected payoff in moderate market

p= Probability of good market= 0.4

Expected payoff before the project= 0.4*2+0.6*1= 1.4K= $1400

Actual payoff= (Benefits as Social Venue + Benefits of Satisfaction + Benefits of having a good time)- (Cost of Project + Cost of Furniture + Cost of Socialization)

Month-wise actual payoffs:

Month 0= -14000$

Month 1= (1500$ + 1500$ + 1000$)-(500$ + 1000$ +150$) = 2350$

Month 2 = (2500$+ 1000$ + 1000$ )- (200$) = 4300$

Month 3 = (3000$+ 900$ + 800$ )- (300$) = 4400$

Month 4= (2500$+ 800$ + 1000$ )- (200$) = 4100$

Net payoff= -14000$ + 2350$ + 4300$ + 4400$ + 4100$ = 1150$

Assumption: PVIF is 0

Since the expected payoff is greater than 0 the decision is right to invest in kitchen project

Month 0

Month 1

Month 2

Month 3

Month 4

Benefits as Social Venue

$

$1500

$2500

$3000

$2500

Benefits of Satisfaction

$

$1500

$1000

$900

$800

Benefits of having a good time

$

$1000

$1000

$800

$1000

Cost of Project

$14,000

$500

$

$

$

Cost of Furniture

$

$1000

$

$

$

Cost of Socialization

$150

$200

$300

$200