You are given an option of three lottery prizes: $34319.67 now with $69386.13 in 5 years, A payment each year of $26839.07 beginning in 1 year and ending after 4 payments, 6 payments half a year apart, each of $15910.22 with the first payment now. The current rate of interest is 4.1% compounded semi-annually. What is the value of the first option in today's dollars?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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You are given an option of three lottery prizes: $34319.67 now with $69386.13 in 5 years, A payment each year of $26839.07 beginning in 1 year and ending after 4 payments, 6 payments half a year apart, each of $15910.22 with the first payment now. The current rate of interest is 4.1% compounded semi-annually. What is the value of the first option in today's dollars?

 

You are given an option of three lottery prizes:

 

$29129.95 now with $68588.79 in 5 years,

A payment each year of $24427.83 beginning in 1 year and ending after 4 payments,

6 payments half a year apart, each of $18835.96 with the first payment now.

The current rate of interest is 3.17% compounded semi-annually. What is the value of the second option in today's dollars?

 

You are given an option of three lottery prizes:

 

$30026.34 now with $68562.68 in 5 years,

A payment each year of $24569.53 beginning in 1 year and ending after 4 payments,

6 payments half a year apart, each of $19492.01 with the first payment now.

The current rate of interest is 4.66% compounded semi-annually. What is the value of the third option in today's dollars?

 

You are given an option of three lottery prizes:

 

$26768.62 now with $68093.92 in 5 years,

A payment each year of $25555.3 beginning in 1 year and ending after 4 payments,

6 payments half a year apart, each of $17411.24 with the first payment now.

The current rate of interest is 4.02% compounded semi-annually. What is the value in today's dollars of the option you should select?

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