Finance, based on a problem from “Principles of Economics” by N. Gregory
Mankiw
Gemma considers buying a rare Pokémon card for $20,000 with a plan to sell it in 20 years and
to buy a house worth $200,000. Price of the house doesn’t change over time.
a) A collector offers a contract agreeing to buy the card from Gemma for $200,000 in 20 years.
• Should Gemma buy the card and sign the contract if the interest rate is 7.5%?
• Should Gemma buy the card and sign the contract if the interest rate is 10%?
• Should Gemma buy the card and sign the contract if the interest rate is 12.5%?
• Should Gemma buy the card and sign the contract if the interest rate is 15%?
• Find the exact interest rate at which Gemma would be indifferent between (i) buying the
card and signing the contract and (ii) not buying the card.
b) Gemma buys the card and realizes that its price increases by 23% every year!1 In how many
years will Gemma be able to afford a house? How much money will she have for decorating
her new house?
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- Note:- Do not provide handwritten solution. Maintain accuracy and quality in your answer. Take care of plagiarism. Answer completely.arrow_forwardValue of a retirement annuity Personal Finance Problem An insurance agent is trying to sell you an annuity, that will provide you with $5,100 at the end of each year for the next 30 years. If you don't purchase this annuity, you can invest your money and earn a return of 5%. What is the most you would pay for this annuity right now? Ignoring taxes, the most you would pay for this annuity is S. (Round to the nearest cent.)arrow_forwardJames is working with several mortgage brokers to secure a loan to purchase a new house. He plans on living in the house for many years to come and wants a loan that will have minimal risk. What type of loan should James get? A. An adjustable-rate mortgage. His loan payments will adjust over the life of the loan. B. A negative amortizing loan. This will allow James to pay off the loan more quickly. C.A fixed-rate loan. His loan payments will remain constant, which will allow him to properly budget for the payments. D.A term loan. This will allow James to have smaller monthly payments with a balloon payment at thearrow_forward
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