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Finance 301 exam 2 ACTUAL EXAM 2026/2027 COMPLETE QUESTIONS WITH CORRECT DETAILED ANSWERS || GUARANTEED PASS

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Finance 301 exam 2 ACTUAL EXAM 2026/2027 COMPLETE QUESTIONS WITH CORRECT DETAILED ANSWERS || GUARANTEED PASS 1. A 60-year old considers an annuity that will provide $50,000 per year for 20 years. She is willing to wait until 7 years later to receive the first payment. Assume the interest rate is 3.75%. What is the price of the deferred annuity at the year 6, one year before the annuity begins? - ANSWER $694,810.21 PV6= 50,000*(1- 1/1.037520)/0.0375=694,810.21 PV0= 694,810.21/1.03756=557,105.65 2. Continued with previous question. What should be the fair price of the deferred annuity today? - ANSWER $557,105.65 PV6= 50,000*(1- 1/1.037520)/0.0375=694,810.21 PV0= 694,810.21/1.03756=557,105.65 3. Mr. Smith has $600,000 total retirement saving. Assume he can earn 4.5% on his money and he withdraw $50,000 at the end of each year. How long will it last before he runs out of his saving? - ANSWER 17.64 compute n in the annuity equation 600,000=50,000*(1-1/1.045n)/0.045 n=17.64 Your friend needs your help for retirement planning. The following information is what you gather from your conversations. She wants to retire at 65. Her financial goal is to save enough money before then, so she can enjoy a living standard of $80,000 a year for 25 years. Her employer provides a 401 account. She will contribute a fixed amount of money each year for 30 years to the account. Currently she has no money in the account and her first contribution will be made in a year. You think an annual expected return of 8% on her retirement saving is reasonable. On the day she retire, she needs to withdraw all the money from the account. You suggest her to retain $80,000 for the first year living expense and use the rest money to buy an annuity, which can pay her $80,000 at the end of each year for the rest 24 years. In other words, the saving should be enough to provide 25 annual payments of $80,000, with the first p - ANSWER The total amount needed for the 25-year retirement period, is also the target future value in 30- year investing period. What is total amount needed on the day she retires? - ANSWER $1,364,669.41 use PVA due formula: 80,000*(1+3.5%)* (1- 1/1.035^25)/0.035 = 1,364,669.41 4. To be able to afford her desired retirement living, her goal of total saving in 30 years is $ - ANSWER $1364669.41 5. Continued with previous question. What is her required annual saving at the end of each year? - ANSWER $12,046.53 use FVA ordinary annuity to solve for CF 1,364,669= CF* (1.0830 - 1)/0.08 CF= 12,046.53 6. The table below shows the CD annual percentage yield offered by four banks: Bank Compounding APY A Annually 5% B Quarterly 5% C Monthly 4.8% D Daily 4.85% You hold an annuity that pays $24,000 at the end of each year for 5 years. The on going interest rate on the annuity is 4.5%. Now you are thinking selling this 5-year annuity and use the proceeds to buy a 10-year annuity due. Assume the interest rate on the new annuity due is the same and ignore the transaction fees. What is the annual payment can you expect for the annuity due? - ANSWER PV of the 5-year annuity= (24000/0.045)*(1 1/1.045^5)=105,359.44 Solve the CF in a 10-year annuity due with the same PV 105,359.44= CF*(1.045/0.045)*(1-1/1.045^10), CF= 12,741.82 7. You hold an annuity that pays $24,000 at the end of each year for 5 years. The on going interest rate on the annuity is 4.5%. Now you are thinking selling this 5-year annuity and use the proceeds to buy a longer term annuity. Assume the interest rate on the new annuity due is the same and ignore the transaction fees. If you can accept annual payment of $10,306 at the end of each year, how many annual payment can you expect from the longer annuity? - ANSWER Compute the PV of the annuity: (24000/0.045)*(1 1/1.0455)=105,359.44 Solve n in the new annuity: (10306.29/0.045)*(1-1/1.045n)=105,359.44, n= 14 8. Suppose Community Bank offers to lend you $10,000 for one year at a nominal annual percentage rate of 19.50%, but you must make interest payments at the end of each quarter and then pay off the $10,000 principal amount at the end of the year. What is the effective annual rate on the loan? - ANSWER EAR= (1+0.195/4)^4 -1=20.97% 9. What is the price of a deferred annuity with 5 payments of $8,500 that starts 5 years from now and the appropriate interest rate is 4.5%? - ANSWER PV4= (8500/0.045)*(1-1/1.0455)= 37314.8 PV=37314.8/1.0454=31,290.75 10. What annual payment must you receive in order to earn a 6.5% rate of return on a perpetuity that has a PV of $2,600? - ANSWER 2600*0.065=169 11. Which of the following are correct? There may be more than one answer. - ANSWER If we are given a periodic interest rate, say a monthly rate, we can find the nominal annual rate by multiplying the periodic rate by the number of periods per year As a result of compounding, the effective annual rate on a bank deposit (or a loan) is always equal to or greater than the quoted annual percentage rate rate on the deposit (or loan) 12. Suppose you just won the state lottery, and you have a choice between receiving $3,025,000 today or a 20-year annuity of $250,000, with the first payment coming one year from today. What rate of return is built into the annuity? - ANSWER 3,025,000= (250,000/i)*[1-1/(1+i)^20], 5.53% 13. Suppose you deposited $8,000 in a bank account that pays 5.25% with daily compounding based on a 360-day year. How much would be in the account after 8 months (240 days), assuming each month has 30 days? - ANSWER 8000*(1+5.25%/360)240 =8284.94 14. You want to buy a new ski boat 2 years from now, and you plan to save $2,900 per year, beginning one year from today. You will deposit your savings in an account that pays 6.2% interest. How much will you have just after you make the 2nd deposit, 2 years from now? - ANSWER 2900*(1.0622-1)/0.062=5,980

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Institution
Finance 301
Course
Finance 301

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Finance 301 exam 2 ACTUAL EXAM
2026/2027 COMPLETE QUESTIONS WITH
CORRECT DETAILED ANSWERS ||
GUARANTEED PASS


1. A 60-year old considers an annuity that will provide $50,000 per year for 20
years. She is willing to wait until 7 years later to receive the first payment.
Assume the interest rate is 3.75%. What is the price of the deferred annuity
at the year 6, one year before the annuity begins? - ANSWER ✅
$694,810.21
PV6= 50,000*(1- 1/1.037520)/0.0375=694,810.21
PV0= 694,810.21/1.03756=557,105.65


2. Continued with previous question. What should be the fair price of the
deferred annuity today? - ANSWER ✅ $557,105.65
PV6= 50,000*(1- 1/1.037520)/0.0375=694,810.21
PV0= 694,810.21/1.03756=557,105.65


3. Mr. Smith has $600,000 total retirement saving. Assume he can earn 4.5%
on his money and he withdraw $50,000 at the end of each year. How long
will it last before he runs out of his saving? - ANSWER ✅ 17.64
compute n in the annuity equation
600,000=50,000*(1-1/1.045n)/0.045
n=17.64


Your friend needs your help for retirement planning. The following
information is what you gather from your conversations.

, She wants to retire at 65. Her financial goal is to save enough money before
then, so she can enjoy a living standard of $80,000 a year for 25 years.
Her employer provides a 401 account. She will contribute a fixed amount of
money each year for 30 years to the account. Currently she has no money in
the account and her first contribution will be made in a year.
You think an annual expected return of 8% on her retirement saving is
reasonable. On the day she retire, she needs to withdraw all the money from
the account. You suggest her to retain $80,000 for the first year living
expense and use the rest money to buy an annuity, which can pay her
$80,000 at the end of each year for the rest 24 years. In other words, the
saving should be enough to provide 25 annual payments of $80,000, with the
first p - ANSWER ✅ The total amount needed for the 25-year retirement
period, is also the target future value in 30- year investing period.


What is total amount needed on the day she retires? - ANSWER ✅
$1,364,669.41
use PVA due formula:
80,000*(1+3.5%)* (1- 1/1.035^25)/0.035 = 1,364,669.41


4. To be able to afford her desired retirement living, her goal of total saving in
30 years is $ - ANSWER ✅ $1364669.41


5. Continued with previous question. What is her required annual saving at the
end of each year? - ANSWER ✅ $12,046.53
use FVA ordinary annuity to solve for CF
1,364,669= CF* (1.0830 - 1)/0.08
CF= 12,046.53


6. The table below shows the CD annual percentage yield offered by four
banks:


Bank Compounding APY

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