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John Fillmore’s lifelong dream is to own his own fishing boat to use in his retirement. John has recently come into an inheritance of \(400,000. He estimates that the boat he wants will cost \)300,000 when he retires in 5 years. How much of his inheritance must he invest at an annual rate of 8% (compounded annually) to buy the boat at retirement?

Short Answer

Expert verified

The amount of inheritance at an annual rate of 8% will be $204,174.

Step by step solution

01

Definition of inheriting

Inheritance is defined as the passing down of the assets to individuals after the owner of assets dies.

02

Calculation of inheritance

PV=Amount×Rate=300,000×.68058=$204,174

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Most popular questions from this chapter

Answer each of these unrelated questions.

(a) On January 1, 2017, Fishbone Corporation sold a building that cost \(250,000 and that had accumulated depreciation of \)100,000 on the date of sale. Fishbone received as consideration a \(240,000 non-interest-bearing note due on January 1, 2020. There was no established exchange price for the building, and the note had no ready market. The prevailing rate of interest for a note of this type on January 1, 2017, was 9%. At what amount should the gain from the sale of the building be reported?

(b) On January 1, 2017, Fishbone Corporation purchased 300 of the \)1,000 face value, 9%, 10-year bonds of Walters Inc. The bonds mature on January 1, 2027, and pay interest annually beginning January 1, 2018. Fishbone purchased the bonds to yield 11%. How much did Fishbone pay for the bonds?

(c) Fishbone Corporation bought a new machine and agreed to pay for it in equal annual installments of \(4,000 at the end of each of the next 10 years. Assuming that a prevailing interest rate of 8% applies to this contract, how much should Fishbone record as the cost of the machine?

(d) Fishbone Corporation purchased a special tractor on December 31, 2017. The purchase agreement stipulated that Fishbone should pay \)20,000 at the time of purchase and \(5,000 at the end of each of the next 8 years. The tractor should be recorded on December 31, 2017, at what amount, assuming an appropriate interest rate of 12%?

(e) Fishbone Corporation wants to withdraw \)120,000 (including principal) from an investment fund at the end of each year for 9 years. What should be the required initial investment at the beginning of the first year if the fund earns 11%?

Question:The following are a number of values taken from compound interest tables involving the same number of periods and the same rate of interest. Indicate what each of these four values represents. (a) 6.71008. (c) .46319. (b) 2.15892. (d) 14.48656.

Chris Spear invested $15,000 today in a fund that earns 8% compounded annually. To what amount will the investment grow in 3 years? To what amount would the investment grow in 3 years if the fund earns 8% annual interest compounded semiannually?

Assuming the same facts as those in E6-18 except that the payments must begin now and be made on the first day of each of the 15 years, what payment method would you recommend?

The Black Knights Inc., a manufacturer of low-sugar, low-sodium, low-cholesterol TV dinners, would like to increase its market share in the Sunbelt. In order to do so, Black Knights has decided to locate a new factory in the Panama City area. Black Knights will either buy or lease a site depending upon which is more advantageous. The site location committee has narrowed down the available sites to the following three very similar buildings that will meet their needs. Building A: Purchase for a cash price of \(600,000, useful life 25 years. Building B: Lease for 25 years with annual lease payments of \)69,000 being made at the beginning of the year. Building C: Purchase for \(650,000 cash. This building is larger than needed; however, the excess space can be sublet for 25 years at a net annual rental of \)7,000. Rental payments will be received at the end of each year. The Black Knights Inc. has no aversion to being a landlord

Instructions In which building would you recommend that The Black Knights Inc. locate, assuming a 12% cost of funds?

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