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Angela wants to take the next five years off work to travel around the world. Sh

ID: 2584901 • Letter: A

Question

Angela wants to take the next five years off work to travel around the world. She estimates her annual cash needs at $34,000 (if she needs more, she will work odd jobs). Angela believes she can invest her savings at 10% until she depletes her funds. ve (Click the icon to view Present Value of $1 table ) (Click the icon to view Present Value of Ordinary Annuity of $1 e table.) (Click the icon to view Future Value of SI table.) Click the icon to view Future Value of Ordinary Annuity of $1 table.) Read the requirements Requirement 1. How much money does Angela need now to fund her travels? (Round your answer to the nearest whole wet dollar.) of S shl with the 10% interest rate, Angela needs $ Requirement 2. After speaking with a number of banks, Angela learns she wil only be able to invest her funds at 6%. How much does she need now to fund her travels? (Round your answer to the nearest whole dollar) with a 6% interest rate, Angela would need $ If Angela's savings are earning a lower interest rate (6%), she will need to save- td to be able to withdraw S34.000 per year ware tha OE of d Enter any number in the edit fields and then continue to the next question. MacBook Pro F12 Dll F8 F10 a3 F7 F9 F6

Explanation / Answer

Requirement-1 PV of annuity for making annual payment P = PMT x (((1-(1 + r) ^- n)) / r) Where: P = the present value of an annuity stream            34,000 PMT = the dollar amount of each annuity payment r = the effective interest rate (also known as the discount rate) 10% n = the number of periods in which payments will be made                       5 Initial Saving level= 34000*(((1-(1 + 10%) ^-5)) /10%) Initial Saving level=          128,887 Requirement-2 PV of annuity for making annual payment P = PMT x (((1-(1 + r) ^- n)) / r) Where: P = the present value of an annuity stream            34,000 PMT = the dollar amount of each annuity payment r = the effective interest rate (also known as the discount rate) 6% n = the number of periods in which payments will be made                       5 Initial Saving level= 34000*(((1-(1 + 6%) ^-5)) /6%) Initial Saving level=          143,220