A coin collector has a set of coins that are worth $500 now. The coin collector wants to determine the optimal time to sell these coins. The value of the coins at time t is V(t) = 500e0.8t 0.3 If the interest rate is 4 percent, what is the optimal time to sell the set of coins?
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- Q) A star baseball player signs a contract that would pay a total of $16 million. The player receives $4 million upon signing, and $3 million every year for the next four years. (In other words, the player will receive $4 million today, $3 million in a year from today, etc.)At an interest rate of 4 percent, the sum of the present value of the contract is $__. Your answer should be a whole number. If the contract is spread over fewer years, the present value of the contract would __________ (options: increase or decrease)Suppose you have a house worth $200,000 (wealth). Your utility of wealth is given by U(w) = ln(w). There is a small chance that a fire will damage your house causing a loss of $75,000. You estimate there is a 2% chance of fire. a) What is your expected wealth? b) What is your expected utility from owning the house? c) Suppose you can add a fire detection/prevention system to your house. This would reduce the chance of a bad event to 0 but it would cost you $C to install. What is the most you are willing to pay for the security system? (Here is an identity you will find usefulJack’s Lock and Key are considering remodeling. It estimates that the remodeling will cost $6,000 and that as a result revenues will rise by $3,000 the first year, $2,500 the second year, $1,500 the third year, and have no effect after then. If the interest rate is 5%, should Jack’s remodel? Defend your answer by showing your work.
- Economics Q) A star baseball player signs a contract that would pay a total of $16 million. The player receives $4 million upon signing, and $3 million every year for the next four years. (In other words, the player will receive $4 million today, $3 million in a year from today, etc.)At an interest rate of 4 percent, the sum of the present value of the contract is $__. Your answer should be a whole number. If the contract is spread over fewer years, the present value of the contract would __________ (options: increase or decrease)Jamal has a utility function U = W1/2, where W is his wealth in millions of dollars and U is the utility he obtains from that wealth. In the final stage of a game show, the host offers Jamal a choice between (A) $4 million for sure, or (B) a gamble that pays $1 million with probability 0.6 and $9 million with probability 0.4. (1) Does A or B offer Jamal a higher expected utility? Explain your reasoning with calculations. (2) Should Jamal pick A or B? Why? I would like help with the unanswered last parts of the questions.Suppose a person has a total credit card debt of $1,500$1,500 that has a 7%7% yearly interest rate. This person also has a savings account with $2,500$2,500 that pays 2%2% interest per year. Despite the net loss, the person keeps both.Calculate how many times the person appreciates the $1$1 of savings more than $1$1 of credit card debt if the person relates similarly to both values of percent paid and received. Enter your answer in the box below and round to two decimal places if necessary.
- B. Richard's nickname is "No-Risk Rick" because he is an extremely risk-averse individual. His utility function is given by U(W) = √W. where W represents his current wealth in dollars. He currently has $100 worth of property, but there is a 50% chance that all of it will be stolen. What is Richard's expect wealth and expected utility of wealth? An insurance company offers to reimburse Richard for his loss if the money is stolen. What is the most that Richard would pay for such a policy? Explain. Please solve this with in 1 hourAssuming a mix of present and future consumption is preferred, ANY consumer who starts at point A will gain utility from a rise in interest rates. is it true or falseThe price of a bond with no expiration date is originally $1,000 and has a fixed annual interest payment of $150. If the price of the bond then falls by $100, what will be the interest rate yield to a new buyer of the bond? Multiple Choice 16.7 percent 8.4 percent 15 percent 13.6 percent 10 percent
- Consider an insurance contract with the premium r=$200 and payout q=$800. What is John’s expected income without this insurance contract? What is John’s expected income with this insurance contract?Sam, after taking a $200 loan from the bank to finance an investment that pays $1000 50% of the time and $0 50% of the time at a 100% interest, discovers another riskier investment that pays out $5,000 but only 10% of the time, while the other 90% of the time it pays zero. Would the he want to switch to the riskier investment? Question 4 options: Yes because his return has increased No because his liability to the bank has increased No because his return has decreased None of the aboveConsumers deposit their total saving, equaling the value of 1, at the bank at t = 0. The bank invests all deposit in an illiquid asset, yielding R = 1.5 inperiod 2 and has a liquidation value of 1 at period 1. Consumers have the probability of 25 percent of being impatient and consume in period 1. Theremaining patient consumers want to consume in period 2. The bank offers r(1) = 1.10 and r(2) = 1.20 as payment to consumers who withdraw inperiod 1 and period 2 respectively. Suppose that consumers believe at period 1 that 70 percent of the consumers withdraw their deposits at period 1, will this believe trigger a bankrun?
