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Exam (elaborations)

Solution shores surgery centers time value analysis

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% SunTrust Nominal EAR Savings Daily 4% 4.08% CD Monthly 6% 6.17% Term Loan Qtryly 8% 8.24%

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  • August 7, 2024
  • 6
  • 2024/2025
  • Exam (elaborations)
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Solution shores surgery centers time value analysis

1. Which bank should Gary choose for a saving account, which bank for a certificate of deposit,
and which bank for a term loan?

Sun Trust :

Savings Effective Annual Rate EAR = (1+4%/365)^365-1 = 4.08%

CD EAR = (1+6%/12)^12-1 = 6.17%

Term Loan EAR = (1+8%/4)^4-1 = 8.24%

BankSouth:

Savings Effective Annual Rate EAR = (1+4.10%/52)^52-1 = 4.18%

CD EAR = (1+6.10%/1)^1-1 = 6.10%

Term Loan EAR = (1+8.06%/2)^2-1 = 8.22%

EAR is tabulated below.

So For Savings, Gary should choose BankSouth gives highest EAR = 4.18%

For CD, Gary should choose SunTrust with EAR =6.17%

For Term Loan, Gary should choose BankSouth with Lowest EAR = 8.22%


SunTrust Nominal EAR


Savings Daily 4% 4.08%


CD Monthly 6% 6.17%


Term Loan Qtryly 8% 8.24%




Solution shores surgery centers time value analysis

, Solution shores surgery centers time value analysis


Bank South


Savings Week 4.10% 4.18%


CD Annual 6.10% 6.10%


Term Loan SemiAnnu 8.06% 8.22%



1. Gary will invest the donations from a wealthy investor in CDs. How much will the Center
have accumulated on the day of the last donation? (Use the CD interest rate offered by the
bank you selected for a CD in question 1.)

SunTrust CD EAR = 6.17%. Investment will be as below :


CD Investment


t0 $250,000


t1-t6 $ 75,000


t7-t12 $150,000


We first calculate the Maturity of $250,000 invested for 12 Yrs at 6.17%

So FV(t0) = 250,000*(1+6.17%)^12 = $512,688

Next we have t1-t6 = Annual Investment of $75,000 & then t7-12 of $150,000

So We can restate that t1-t12, Annual Investment of $75,000 & t7-t12 of $75,000

So Maturity of Annual Investment of $75,000 for 12 yrs at 6.17% will be


Solution shores surgery centers time value analysis

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