Suppose you were offered the opportunity to receive $2,500
beginning in one year
and continuing forever. If you could earn 12% on your investments,
how much
should you pay for this perpetuity? [2]
(c) Prepare a loan amortization schedule involving a $850,000 loan
at 10% over
4 years.
1
PV = cash flow/interest rate = 2500/0.12=20833.33
2
Annual rate(M)= | yearly rate/1= | 10.00% | Annual payment= | 268150.18 | ||
Year | Beginning balance (A) | Annual payment | Interest = M*A | Principal paid | Ending balance | |
1 | 850000.00 | 268150.18 | 85000.00 | 183150.18 | 666849.82 | |
2 | 666849.82 | 268150.18 | 66684.98 | 201465.20 | 465384.62 | |
3 | 465384.62 | 268150.18 | 46538.46 | 221611.72 | 243772.89 | |
1 | 4 | 243772.89 | 268150.18 | 24377.29 | 243772.89 | 0.00 |
Where |
Interest paid = Beginning balance * Annual interest rate |
Principal = Annual payment – interest paid |
Ending balance = beginning balance – principal paid |
Beginning balance = previous Year ending balance |
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