Question
Today is 1 July. You are looking to buy a Ford Coupe Ute, a famous Australian vintage car, to add to your collection. The asking
Today is 1 July. You are looking to buy a Ford Coupe Ute, a famous Australian vintage car, to add to your collection. The asking price for immediate transfer is $250,000. Since you must first make room in your shed to properly store the car, you would like to delay the transfer by 3 months. In that time, the current owner will need to continue to pay for registration and insurance at a continuously-compounded rate of 1% of the value of the car, and for storage ($1000/year paid in quarterly instalments at the start of the quarter). The current owner makes the car available as a show object for motorsport events which returns $1,000 per month, paid quarterly at the end of each quarter. The risk-free interest rate is 3% p.a., continuously-compounded. What price should you offer the current owner of the Ford Coupe Ute so that they will agree to delay the transfer by 3 months?
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