A) Garrett won a lottery that would pay him $43,000 in 3 years and $16,300...
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A) Garrett won a lottery that would pay him $43,000 in 3 years and $16,300 in 5 years. The lottery company had another option: he could get an upfront amount and another $12,900 in 3 years.
Calculate the upfront amount that he would receive now from the second option, assuming that money is worth 2.00% compounded semi-annually. (Round to the nearest cent)
B) How much more or less money would you have to invest today to have $7,000 in 3 years at 3.20% compounded monthly instead of 3.36% compounded annually?
(Express the answer with a positive sign if more needs to be invested or a negative sign for less, rounded to two decimal places.)
C)Brooke was supposed to make a payment of $4,750 in 2 years and another payment of $700 in 8 years to Maroon Inc. as part of a payment plan. Instead, he is trying to agree with the company to settle both payments in 5 years. Assume that money is worth 4.19% compounded semi-annually.
C1. Calculate the equivalent value of the $4,750 and $700 payments today. (Round to the nearest cent)
C2. Calculate the payment size required in 5 years to settle the amount. (Round to the nearest cent)
D)Rachel opened an RRSP account and deposited $2,600 into it. He then deposited $700 at the end of the 1st year and $725 at the end of the 2nd year, into the account. The RRSP was earning 3.70%, compounded quarterly.
D1. What is the accumulated value of the investments at the end of the 2nd year? (Round to the nearest cent)
D2. What is the accumulated value of the investment at the end of 7 years? (Round to the nearest cent)
E) Amy was supposed to make a payment of $4,250 in 2 years and another payment of $600 in 4 years to Loon Company as part of a payment plan. Instead, he is trying to reach an agreement with the company where he would pay an upfront amount now, and an amount of $600 in 4 years. Assume that money is worth 5.16% compounded quarterly.
E1. Calculate the equivalent value of the $4,250 and $600 payments today. (Round to the nearest cent)
E2. Calculate the upfront amount that he should pay under the alternative payment agreement so that the payments are equivalent. (Round to the nearest cent)
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