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List several personal financial problems for which you or other individuals migh

ID: 2723600 • Letter: L

Question

List several personal financial problems for which you or other individuals might use the concepts from the Lectures to help you make this decision. Calculate the value in 5 years of $1,000 deposited in a savings account today if the account pays interest at a rate of 8% per year, compounded annually. Congratulations, you have just won the Publishers Corporation Sweepstake’s! Your winnings are $1,000,000 paid over ten years (end of year) annuity of $100,000 per year for ten years; your opportunity cost is 6%. Would you accept $600,000 in cash now or take the 10 year annuity, show your work. Suppose you wish to purchase a house 5 years from now and estimate that an initial down payment of $25,000 will be required at that time. What size annuity payment will result in a lump sum equal to $25,000 assuming you made equal annual end-of-year deposits in an account paying annual interest of 8% for 5 years, show your work.

Explanation / Answer

Answer) Various financial problems- calculating EMI of car, house purchased on loan, education loan etc

Calculating investment value over a period of time.

Effect of early payment of principle on net interest paid by individual on a loan.

retirement planning

Answer)1000 deposited for 5 years@8% compounded annually=1000*(1.08^5)=1469.33

Answer) PV of 100000 annuity for 10 years=100000*PVIFA*(6%,10)=100000*7.3601=736010

taking cash now gives you 600000 but the PV of annuity is higher hence annuity should be accepted.

Answer) house problem=25000/FVIFA(8%,5)=25000/5.8666=4261.41

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