1Your family owns a velociraptor skeleton that is currentlyvalued at $86.7 thousand. Your grandfather, being an avid fossilcollector, bought it 50 years ago for $24.8 thousand. If theskeleton keeps appreciating at the same average annual rate, whatwould be its value 25 years from now?
2You would like to establish a trust fund that would pay annualpayments to your heirs of $98 thousand a year forever. You expectthe trust fund to earn an average return of 8.84 percent. How muchdo you need to deposit into this trust fund today to achieve yourgoal?
3You are thinking of investing in a project that will pay you$100,000 7 years from now, and another $100,000 10 years from now.You think the right discount rate for the project is 6.9%. What isthe maximum you should be willing to pay for this investment?
4A firm recently purchased a new facility costing $962 thousand.The firm financed this purchase with an amortized loan at aninterest rate of 9.7 percent APR, with monthly payments of $16.1thousand. How long will it take to pay off this loan? (Enter answerin months, accurate to two decimal places.)
5An investment is expected to produce $2,370 at the end of eachyear for the next 10 years. Other investments of similar riskinessavailable to you are yielding 8.4 percent return. What is themaximum you should be willing to pay for this investment?
6You are not thrilled about spending your entire life working.So, you have decided that you will save $6 thousand a year,starting at the end of this year, and retire as soon as you canaccumulate $1 million. If you can earn an average of 8.47 percenton your savings, how many years will pass before you get toretire?
7How much money must you invest today, at 7.7 percent fixedannual interest rate, in order to have 10 thousand in 13 years?
8You have $1,895 today, and want to double your money in 19years. What interest rate must you earn to achieve your goal?
9The house you want to buy costs $260 thousand. You plan to makea cash down payment of 10 percent, and borrow the rest in a 30 yearmortgage at 4.8 percent APR. What will be the amount of yourmonthly mortgage payment?
10You estimate that you will need $771 thousand in 30 years tobuy some cybernetic body enhancements, including infrared vision,retractable claws, and expanded brain storage capacity. To achieveyour financial goal, you want to make three equal-sized depositsinto an account paying a fixed annual rate of 8.82%. The firstdeposit will be made right now, the second 10 years from now, andthe third 20 years from now. What is the size of each deposit youneed to make in order to partake of future cybernetic goodness?(Hint: draw this out on a timeline.)
1Your family owns a velociraptor skeleton that is currentlyvalued at $86.7 thousand. Your grandfather, being an avid fossilcollector, bought it 50 years ago for $24.8 thousand. If theskeleton keeps appreciating at the same average annual rate, whatwould be its value 25 years from now?
2You would like to establish a trust fund that would pay annualpayments to your heirs of $98 thousand a year forever. You expectthe trust fund to earn an average return of 8.84 percent. How muchdo you need to deposit into this trust fund today to achieve yourgoal?
3You are thinking of investing in a project that will pay you$100,000 7 years from now, and another $100,000 10 years from now.You think the right discount rate for the project is 6.9%. What isthe maximum you should be willing to pay for this investment?
4A firm recently purchased a new facility costing $962 thousand.The firm financed this purchase with an amortized loan at aninterest rate of 9.7 percent APR, with monthly payments of $16.1thousand. How long will it take to pay off this loan? (Enter answerin months, accurate to two decimal places.)
5An investment is expected to produce $2,370 at the end of eachyear for the next 10 years. Other investments of similar riskinessavailable to you are yielding 8.4 percent return. What is themaximum you should be willing to pay for this investment?
6You are not thrilled about spending your entire life working.So, you have decided that you will save $6 thousand a year,starting at the end of this year, and retire as soon as you canaccumulate $1 million. If you can earn an average of 8.47 percenton your savings, how many years will pass before you get toretire?
7How much money must you invest today, at 7.7 percent fixedannual interest rate, in order to have 10 thousand in 13 years?
8You have $1,895 today, and want to double your money in 19years. What interest rate must you earn to achieve your goal?
9The house you want to buy costs $260 thousand. You plan to makea cash down payment of 10 percent, and borrow the rest in a 30 yearmortgage at 4.8 percent APR. What will be the amount of yourmonthly mortgage payment?
10You estimate that you will need $771 thousand in 30 years tobuy some cybernetic body enhancements, including infrared vision,retractable claws, and expanded brain storage capacity. To achieveyour financial goal, you want to make three equal-sized depositsinto an account paying a fixed annual rate of 8.82%. The firstdeposit will be made right now, the second 10 years from now, andthe third 20 years from now. What is the size of each deposit youneed to make in order to partake of future cybernetic goodness?(Hint: draw this out on a timeline.)
