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金融民工阿聪 · 2021年03月14日

为什么在算int inflow时候这样

NO.PZ2016082405000037

问题如下:

Assume there are 100 identical loans with a principal balance of $500,000 each. Based on a credit analysis, a 300 basis point spread is applied to the borrowers. LIBOR is currently 4% and the coupon rate will reset annually. The senior, junior, and equity tranches are 75%, 20%,and 5% of the pool, respectively. The spreads on the senior and mezzanine tranches are 2% and 6%. Excess cash flow is diverted above $1,000,000. Assume the default rate is 2%. What are the cash flows to the mezzanine and excess trust account in the first period?

选项:

Mezzanine
Trust account
A.
$1,000,000
$0
B.
$1,000,000
$180,000
C.
$2,250,000
$200,000
D.
$2,250,000
$250,000

解释:

A The interest rate on the loans = 4% (LIBOR) + 3% (spread) = 7%. Therefore, the total

collateral cash flows in the first period = 100 x $500,000 x 7% x (1 - 0.02) = $3,430,000. The senior tranche receives $50 million x 0.75 x (4% + 2%) = $2,250,000. Similarly, the mezzanine tranche receives $50 million x 0.20 x (4% + 6%) = $1,000,000. Next, the residual cash flows are calculated: $3,430,000 - $2,250,000 - $1,000,000 = $180,000. Since $180,000 < $1,000,000, all cash flows are claimed by the equity investors and there is no diversion to the trust account.

为什么在算int inflow时候这样:

在算其int inflow时候为什么是减去违约后的本金?不是应该是500000*98*1.07-500000*100=2430000呢?这样才是净收入吧?

3 个答案

袁园_品职助教 · 2021年03月18日

同学你好!

所以我们都觉得利息=3430000对吧

这里不用先去cover那两笔违约本金啊,因为所有的损失都是最后一个级别去承担的,例如senior tranche 是不会需要你承担完了风险再分配的

袁园_品职助教 · 2021年03月16日

同学你好!

因为本金有违约风险,违约了就没有利息了,所以计算利息要基本 本金*(1-2%)

袁园_品职助教 · 2021年03月14日

同学你好!

因为2%的违约率也适用于本金,所以都要乘以1-2%